Skip to main content
Fachgebiete
Automobil + Motoren Bauwesen + Immobilien Business IT + Informatik Elektrotechnik + Elektronik Energie + Nachhaltigkeit Finance + Banking Management + Führung Marketing + Vertrieb Maschinenbau + Werkstoffe Versicherung + Risiko
DE
EN
Bücher
Zeitschriften
Themenseiten
Organisationspsychologie Projektmanagement Marketing Smart Manufacturing
Weitere Formate
Podcasts Webinare Technik Webinare Wirtschaft Kongresse Veranstaltungskalender Awards
Jetzt Einzelzugang starten
Zugang für Unternehmen
Referenzkunden
SLX-Digitalkonferenz: Zukunftswerkstatt 2024

Mehr Umsatz mit Top-Kontakten

Am 7. Mai erfahren Sie, wie Vertriebsteams Leadgenerierung, Leadnurturing und Leadstrategien effizient steuern können.
Erweiterte Suche
Anmelden
nach oben
Neural Computing and Applications
Erschienen in: Neural Computing and Applications 2/2013

01.02.2013 | Original Article

Synchronization of general chaotic systems using neural controllers with application to secure communication

verfasst von: Mansour Sheikhan, Reza Shahnazi, Sahar Garoucy

Erschienen in: Neural Computing and Applications | Ausgabe 2/2013

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

The main contribution of this paper is to propose a nonlinear robust controller to synchronize general chaotic systems, such that the controller does not need the information of the chaotic system’s model. Following this purpose, in this paper, two methods are proposed to synchronize general forms of chaotic systems with application in secure communication. The first method uses radial basis function neural network (RBFNN) as a controller. All the parameters of the RBFNN are derived and optimized via particle swarm optimization (PSO) algorithm and genetic algorithm (GA). In order to increase the robustness of the controller, in the second method, an integral term is added to the RBF neural network gives an integral RBFNN (IRBFNN). The coefficients of the integral term and the parameters of IRBFNN are also derived and optimized via PSO and GA. The proposed methods are applied to the famous Lorenz chaotic system for secure communication. The performance and control effort of the proposed methods are compared with the recently proposed PID controller optimized via GA. Simulation results show the superiority of the proposed methods in comparison to the recent one in improving synchronization while using smaller control effort.
Vorheriger Artikel Robust stability criteria for uncertain stochastic neural networks of neutral-type with interval time-varying delays
Nächster Artikel Fold-flip bifurcation analysis on a class of discrete-time neural network

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Jetzt informieren

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Jetzt informieren

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Jetzt informieren
Literatur
1.
Yang T (2004) A survey of chaotic secure communication systems. Int J Comput Cogn 2:81–130
2.
Lin S-L, Tung P-C (2009) A new method for chaos control in communication systems. Chaos Solitons Fractals 42:3234–3241MATHCrossRef
3.
Lin J-S, Huang C-F, Liao T-L, Yan J–J (2010) Design and implementation of digital secure communication based on synchronized chaotic systems. Digital Signal Process 20:229–237MATHCrossRef
4.
5.
Halle K, Wu CW, Itoh M, Chua LO (1993) Spread spectrum communication through modulation of chaos. IEICE Trans Commun 3:469–477MATH
6.
7.
Liu S-Y, Yu X, Zhu S-J (2008) Study on the chaos anti-control technology in nonlinear vibration isolation system. J Sound Vibrat 310:855–864CrossRef
8.
9.
Hu G, Pivka L, Zheleznyak AL (1995) Synchronization of a one-dimensional array of Chua’s circuits by feedback control and noise. IEEE Trans Circuits Syst I Fundament Theory Appl 42:736–740CrossRef
10.
Jiang GP, Chen GR, Tang WK (2003) A new criterion for chaos synchronization using linear state feedback control. Int J Bifurc Chaos 13:2343–2351MATHCrossRef
11.
12.
13.
Loria A, Zavala-Rio A (2007) Adaptive tracking control of chaotic systems with applications to synchronization. IEEE Trans Circuits Syst I Regular Pap 54:2019–2029MathSciNetCrossRef
14.
Lin J-S, Yan J–J (2009) Adaptive synchronization for two identical generalized Lorenz chaotic systems via a single controller. Nonlinear Anal Real World Appl 10:1151–1159MathSciNetMATHCrossRef
15.
Li R-H (2009) Exponential generalized synchronization of uncertain coupled chaotic systems by adaptive control. Commun Nonlinear Sci Numer Simul 14:2757–2764MathSciNetMATHCrossRef
16.
Salarieh H, Alasti A (2009) Adaptive synchronization of two chaotic systems with stochastic unknown parameters. Commun Nonlinear Sci Numer Simul 14:508–519MathSciNetMATHCrossRef
17.
Tian YP, Yu X (2000) Stabilizing unstable periodic orbits of chaotic systems via an optimal principle. J Franklin Inst 337:771–779MathSciNetMATHCrossRef
18.
Kuo H–H, Hou Y–Y, Yan J–J, Liao T-L (2009) Reliable synchronization of nonlinear chaotic systems. Math Comput Simulat 79:1627–1635MathSciNetMATHCrossRef
19.
Grzybowski JMV, Rafikov M, Balthazar JM (2009) Synchronization of the unified chaotic system and application in secure communication. Commun Nonlinear Sci Numer Simul 14:2793–2806MathSciNetMATHCrossRef
20.
21.
Millerioux G, Daafouz J (2003) An observer-based approach for input-independent global chaos synchronization of discrete-time switched systems. IEEE Trans Circuits Syst I Fundament Theory Appl 50:1270–1279MathSciNetCrossRef
22.
Stojanovski T, Kocarev L, Parlitz U (1996) Driving and synchronizing by chaotic impulses. Phys Rev E 54:2128–2131CrossRef
23.
Yang T, Chua LO (1997) Impulsive stabilization for control and synchronization of chaotic systems: theory and application to secure communication. IEEE Trans Circuits Syst I Fundament Theory Appl 44:976–988MathSciNetCrossRef
24.
Li ZG, Wen CY, Soh YC, Xie WX (2001) The stabilization and synchronization of Chua’s oscillators via impulsive control. IEEE Trans Circuits Syst I Fundament Theory Appl 48:1351–1355MathSciNetMATHCrossRef
25.
Zheng Y, Chen G (2009) Fuzzy impulsive control of chaotic systems based on TS fuzzy model. Chaos Solitons Fractals 39:2002–2011MathSciNetMATHCrossRef
26.
Morgül Ö, Feki M (1997) Synchronization of chaotic systems by using occasional coupling. Phys Rev E 55:5004–5010MathSciNetCrossRef
27.
Li CD, Feng G, Liao XF (2007) Stabilization of nonlinear systems via periodically intermittent control. IEEE Trans Circuits Syst II Express Briefs 54:1019–1023CrossRef
28.
Huang TW, Li CD, Yu WW, Chen GR (2009) Synchronization of delayed chaotic systems with parameter mismatches by using intermittent linear state feedback. Nonlinearity 22:569–584MathSciNetMATHCrossRef
29.
Zhu H, Cui B (2010) Stabilization and synchronization of chaotic systems via intermittent control. Commun Nonlinear Sci Numer Simul 15:3577–3586MathSciNetMATHCrossRef
30.
Guo SM, Shieh LS, Chen G, Lin CF (2000) Effective chaotic orbit tracker: a prediction-based digital redesign approach. IEEE Trans Circuits Syst I Fundament Theory Appl 47:1557–1570MathSciNetMATHCrossRef
31.
32.
Zhang J, Li C, Zhang H, Yu J (2004) Chaos synchronization using single variable feedback based on backstepping method. Chaos Solitons Fractals 21:1183–1193MathSciNetMATHCrossRef
33.
Lin D, Wang X, Nian F, Zhang Y (2010) Dynamic fuzzy neural networks modeling and adaptive backstepping tracking control of uncertain chaotic systems. Neurocomputing 73:2873–2881CrossRef
34.
Yan JJ, Hung ML, Chiang TY, Yang YS (2006) Robust synchronization of chaotic systems via adaptive sliding mode control. Phys Lett A 356:220–225MATHCrossRef
35.
Wang H, Han ZZ, Xie QY, Zhang W (2009) Finite-time chaos control via nonsingular terminal sliding mode control. Commun Nonlinear Sci Numer Simulat 14:2728–2733MathSciNetMATHCrossRef
36.
Wang H, Han ZZ, Xie QY, Zhang W (2009) Sliding mode control for chaotic systems based on LMI. Commun Nonlinear Sci Numer Simulat 14:1410–1417MathSciNetMATHCrossRef
37.
Mou C, Jiang C-S, Bin J, Wu Q-X (2009) Sliding mode synchronization controller design with neural network for uncertain chaotic systems. Chaos Solitons Fractals 39:1856–1863MATHCrossRef
38.
Xiang W, Huangpu Y (2010) Second-order terminal sliding mode controller for a class of chaotic systems with unmatched uncertainties. Commun Nonlinear Sci Numer Simulat 15:3241–3247MathSciNetMATHCrossRef
39.
Pourmahmood M, Khanmohammadi S, Alizadeh G (2011) Synchronization of two different uncertain chaotic systems with unknown parameters using a robust adaptive sliding mode controller. Commun Nonlinear Sci Numer Simulat 16:2853–2868MathSciNetMATHCrossRef
40.
Lin T-C, Chen M-C, Roopaei M (2011) Synchronization of uncertain chaotic systems based on adaptive type-2 fuzzy sliding mode control. Eng Appl Artif Intell 24:39–49CrossRef
41.
42.
Zhang H, Ma X (2004) Synchronization of uncertain chaotic systems with parameters perturbation via active control. Chaos Solitons Fractals 21:39–47MathSciNetMATHCrossRef
43.
Lee SM, Ji DH, Park JH, Won SC (2008) H∞ synchronization of chaotic systems via dynamic feedback approach. Phys Lett A 372:4905–4912MathSciNetMATHCrossRef
44.
Kim J-H, Park C-W, Kim E, Park M (2005) Fuzzy adaptive synchronization of uncertain chaotic systems. Phys Lett A 334:295–305MathSciNetMATHCrossRef
45.
Hyun C-H, Kim J-H, Kim E, Park M (2006) Adaptive fuzzy observer based synchronization design and secure communications of chaotic systems. Chaos Solitons Fractals 27:930–940MathSciNetMATHCrossRef
46.
47.
Zhang L, Huang L, Zhang Z, Wang Z (2008) Fuzzy adaptive synchronization of uncertain chaotic systems via delayed feedback control. Phys Lett A 372:6082–6086MATHCrossRef
48.
Hwang E, Hyun C, Kim E, Park M (2009) Fuzzy model based adaptive synchronization of uncertain chaotic systems: robust tracking control approach. Phys Lett A 373:1935–1939MATHCrossRef
49.
Li S-Y, Ge Z-M (2011) Generalized synchronization of chaotic systems with different orders by fuzzy logic constant controller. Exp Syst Appl 38:2302–2310CrossRef
50.
Yin C, Zhong S-M, Chen W-F (2011) Design PD controller for master–slave synchronization of chaotic Lur’e systems with sector and slope restricted nonlinearities. Commun Nonlinear Sci Numer Simulat 16:1632–1639MathSciNetMATHCrossRef
51.
Chen HC, Chang JF, Yan JJ, Liao TL (2008) EP-based PID control design for chaotic synchronization with application in secure communication. Exp Syst Appl 34:1169–1177CrossRef
52.
Coelho LS, Bernert DLA (2009) PID control design for chaotic synchronization using a Tribes optimization approach. Chaos Solitons Fractals 42:634–640CrossRef
53.
Coelho LS, Grebogi RB (2010) Chaotic synchronization using PID control combined with population based incremental learning algorithm. Exp Syst Appl 37:5347–5352CrossRef
54.
Coelho LS, Bernert DLA (2010) A modified ant colony optimization algorithm based on differential evolution for chaotic synchronization. Exp Syst Appl 37:4198–4203CrossRef
55.
Ren H, Liu D (2007) Synchronization of chaos using radial basis functions neural networks. J Syst Eng Electron 18:83–88CrossRef
56.
Hsu C-F, Chung C-M, Lin C-M, Hsu C-Y (2009) Adaptive CMAC neural control of chaotic systems with a PI-type learning algorithm. Exp Syst Appl 36:11836–11843CrossRef
57.
Chen M, Chen W (2009) Robust adaptive neural network synchronization controller design for a class of time delay uncertain chaotic systems. Chaos Solitons Fractals 41:2716–2724MATHCrossRef
58.
59.
Chen C-S, Chen H–H (2009) Robust adaptive neural-fuzzy-network control for the synchronization of uncertain chaotic systems. Nonlinear Anal Real World Appl 10:1466–1479MathSciNetMATHCrossRef
60.
Chen C-S (2009) Quadratic optimal neural fuzzy control for synchronization of uncertain chaotic systems. Exp Syst Appl 36:11827–11835CrossRef
61.
Lin D, Wang X (2011) Self-organizing adaptive fuzzy neural control for the synchronization of uncertain chaotic systems with random-varying parameters. Neurocomputing 74:2241–2249CrossRef
62.
Hsu C-F (2011) Adaptive fuzzy wavelet neural controller design for chaos synchronization. Exp Syst Appl 38:10475–10483CrossRef
63.
Sztipanovits J, Waknis P (1991) System identification with neural network controlled resonator-banks. In: The proceedings of the IEEE international symposium on intelligent control, pp 158–163
64.
Wang Y-J, Lin C-T (1998) Runge-Kutta neural network for identification of dynamical systems in high accuracy. IEEE Trans Neural Netw 9:294–307CrossRef
65.
Shieh C-S, Lin C-T (2002) A vector neural network for emitter identification. IEEE Trans Antennas Propagat 50:1120–1127CrossRef
66.
Sheikhan M, Tabataba Vakili V, Garoucy S (2009) Complexity reduction of LD-CELP speech coding in prediction of gain using neural networks. World Appl Sci J 7 (Special Issue of Computer & IT):38–44
67.
Monjezi M, Ahmadi M, Sheikhan M, Bahrami A, Salimi AR (2010) Predicting blast-induced ground vibration using various types of neural networks. Soil Dyn Earthq Eng 30:1233–1236CrossRef
68.
Sheikhan M, Hatami Sadegh M (2010) Blind estimation of signal to noise ratio using time-delay radial basis connectionist models. World Appl Sci J 8:296–301
69.
Sheikhan M, Garoucy S (2011) Prediction of gain in LD-CELP using hybrid genetic/PSO-neural models. J Adv Res Comput 1(3):1–12
70.
Ming-Chuan Y, Pariseau B, Jenkins JM, DiCarlo LA (1994) Intracardiac arrhythmia classification using neural networks and time-frequency analysis. In: The proceedings of the IEEE workshop on computers in cardiology, pp 449–452
71.
Zahorian SA, Nossair ZB (1999) A partitioned neural network approach for vowel classification using smoothed time/frequency features. IEEE Trans Speech Audio Process 7:414–425
72.
Sexton RS, Dorsey RE (2000) Reliable classification using neural networks: a genetic algorithm and backpropagation comparison. Decis Support Syst 30:11–22CrossRef
73.
Kaefer F, Heilman CM, Ramenofsky SD (2005) A neural network application to consumer classification to improve the timing of direct marketing activities. Comput Oper Res 32:414–425CrossRef
74.
Sheikhan M, Jadidi Z (2009) Misuse detection using hybrid of association rule mining and connectionist modeling. World Appl Sci J 7 (Special Issue of Computer & IT):31–37
75.
Sheikhan M, Sha’bani AA (2009) Fast neural intrusion detection system based on hidden weight optimization algorithm and feature selection. World Appl Sci J 7 (Special Issue of Computer & IT):45–53
76.
Sheikhan M, Jadidi Z, Beheshti M (2010) Effects of feature reduction on the performance of attack recognition by static and dynamic neural networks. World Appl Sci J 8:302–308
77.
78.
Sheikhan M, Khalili A (2010) Intrusion detection based on rule extraction from dynamic cell structure neural network. Majlesi J Electric Eng 4(4):24–34
79.
Gharavian D, Sheikhan M, Nazerieh AR, Garoucy S (2011) Speech emotion recognition using FCBF feature selection method and GA-optimized fuzzy ARTMAP neural network. Neural Comput Appl (in press), doi:10.​1007/​s00521-011-0643-1
80.
Ko WL, Mittra R (1995) Conductivity estimation by neural network. In: The proceedings of the international symposium of antennas and propagation society, vol 4, pp 1860–1863
81.
Chinman RB, Ding J (1998) Prediction limit estimation for neural network models. IEEE Trans Neural Netw 9:1515–1522
82.
Langley CS, D’Eleuterio GMT (2001) Neural network-based pose estimation for fixtureless assembly. In: The proceedings of the IEEE international symposium on computational intelligence in robotics and automation, pp 248–253
83.
Sheikhan M, Gharavian D, Ashoftedel F (2011) Using DTW-neural based MFCC warping to improve emotional speech recognition. Neural Comput Appl (in press), doi:10.​1007/​s00521-011-0620-8
84.
Katijani Y, Hipel WK, McLeod AI (2005) Forecasting nonlinear time series with feedforward neural networks: a case study of Canadian lynx data. J Forecast 24:105–117MathSciNetCrossRef
85.
Sheikhan M, Movaghar B (2009) Exchange rate prediction using an evolutionary connectionist model. World Appl Sci J 7(Special Issue of Computer & IT):8–16
86.
Sheikhan M, Mohammadi N (2011) Neural-based electricity load forecasting using hybrid of GA and ACO for feature selection. Neural Comput Appl (in press), doi:10.​1007/​s00521-011-0599-1
87.
Hopfield JJ, Tank DW (1985) Neural computation of decisions in optimization problems. Biol Cybern 52:141–152MathSciNetMATH
88.
Wang L, Liu W, Shi H (2009) Delay-constrained multicast routing using the noisy chaotic neural networks. IEEE Trans Comput 58:82–89MathSciNetCrossRef
89.
Sheikhan M, Hemmati E (2011) Transient chaotic neural network-based disjoint multipath routing for mobile ad-hoc networks. Neural Comput Appl (in press), doi:10.​1007/​s00521-011-0594-6
90.
Kennedy J, Eberhart RC (1995) Particle swarm optimization. In: The proceedings of the IEEE international conference on neural networks, pp 1942–1948
91.
Chee CY, Xu D (2005) Secure digital communication using controlled projective synchronization of chaos. Chaos Solitons Fractals 23:1063–1070MATH
92.
Zhu F (2009) Observer-based synchronization of uncertain chaotic system and its application to secure communications. Chaos Solitons Fractals 40:2384–2391MATHCrossRef
93.
Kolumbán G, Kennedy MP, Chua LO (1997) The role of synchronization in digital communication using chaos I. fundamentals of digital communications. IEEE Trans Circuits Syst I Fundament Theory Appl 44:927–936CrossRef
94.
Bai EW, Lonngren KE, Uçar A (2005) Secure communication via multiple parameter modulation in a delayed chaotic system. Chaos Solitons Fractals 23:1071–1076MATH
95.
Wang XY, Wang M-J (2009) A chaotic secure communication scheme based on observer. Commun Nonlinear Sci Numer Simulat 14:1502–1508CrossRef
96.
Chang W-D (2009) Digital secure communication via chaotic systems. Digital Signal Process 19:693–699CrossRef
97.
Wu X-J, Wang H, Lu H-T (2011) Hyperchaotic secure communication via generalized function projective synchronization. Nonlinear Anal Real World Appl 12:1288–1299MathSciNetMATHCrossRef
98.
Li D, Wang Z, Zhou J, Fang J, Ni J (2008) A note on chaotic synchronization of time-delay secure communication systems. Chaos Solitons Fractals 38:1217–1224MathSciNetMATHCrossRef
99.
Lee S-H, Kapila V, Porfiri M, Panda A (2010) Master-slave synchronization of continuously and intermittently coupled sampled-data chaotic oscillators. Commun Nonlinear Sci Numer Simulat 15:4100–4113MathSciNetMATHCrossRef
100.
Hyun C-H, Park C-W, Kim J-H, Park M (2009) Synchronization and secure communication of chaotic systems via robust adaptive high-gain fuzzy observer. Chaos Solitons Fractals 40:2200–2209MathSciNetMATHCrossRef
101.
Yeh J-P, Wu K-L (2008) A simple method to synchronize chaotic systems and its application to secure communication. Math Comput Modell 47:894–902MathSciNetMATHCrossRef
102.
Wang H, Han Z-H, Xie Q-Y, Zhang W (2009) Finite-time chaos synchronization of unified chaotic system with uncertain parameters. Commun Nonlinear Sci Numer Simulat 14:2239–2247CrossRef
103.
Nana B, Woafo P (2011) Synchronized states in a ring of four mutually coupled oscillators and experimental application to secure communications. Commun Nonlinear Sci Numer Simulat 16:1725–1733MathSciNetMATHCrossRef
104.
Changchien S-K, Huang C-K, Nien H–H, Shieh H-W (2009) Synchronization of the chaotic secure communication system with output state delay. Chaos Solitons Fractals 39:1578–1587MathSciNetMATHCrossRef
105.
Xingyuan W, Bing X, Huaguang Z (2010) A multi-ary number communication system based on hyperchaotic system of 6th-order cellular neural network. Commun Nonlinear Sci Numer Simulat 15:124–133CrossRef
106.
Coelho LS, Bernert DLA (2009) An improved harmony search algorithm for synchronization of discrete-time chaotic systems. Chaos Solitons Fractals 41:2526–2532MATHCrossRef
107.
Chang W-D (2009) PID control for chaotic synchronization using particle swarm optimization. Chaos Solitons Fractals 39:910–917MATHCrossRef
108.
Jahromi Shirazi M, Vatankhah R, Boroushaki M, Salarieh H, Alasty A (2011) Application of particle swarm optimization in chaos synchronization in noisy environment in presence of unknown parameter uncertainty. Commun Nonlinear Sci Numer Simulat (in press), doi:10.​1016/​j.​cnsns.​2011.​05.​032
109.
Modares H, Alfi A, Fateh MM (2010) Parameter identification of chaotic dynamic systems through an improved particle swarm optimization. Exp Syst Appl 37:3714–3720CrossRef
110.
Cuomo KM, Oppenheim AV, Strogatz SH (1993) Synchronisation of Lorenz-based chaotic circuits with applications to communications. IEEE Trans Circuits Syst 40:626–633
111.
Yu W (1999) Passive equivalence of chaos in Lorenz system. IEEE Trans Circuits Syst I Fundament Theory Appl 46:876–878CrossRef
112.
Bai E-W, Lonngren KE (2000) Sequential synchronization of two Lorenz systems using active control. Chaos Solitons Fractals 11:1041–1044MATHCrossRef
113.
Ueta T, Chen G (2000) Bifurcation analysis of Chen’s attractor. Int J Bifurc Chaos 10:1917–1931MathSciNetMATH
114.
Wang Y, Guan ZH, Wang HO (2003) Feedback an adaptive control for the synchronization of Chen system via a single variable. Phys Lett A 312:34–40MathSciNetMATHCrossRef
115.
Xu WG, Shen HZ, Hu DP, Lei AZ (2005) Impulse tuning of Chua chaos. Int J Eng Sci 43:275–280MATHCrossRef
116.
117.
Hua CC, Guan X, Li X, Shi P (2004) Adaptive observer-based control for a class of chaotic systems. Chaos Solitons Fractals 22:103–110MathSciNetMATHCrossRef
118.
Goldberg DE (1989) Genetic algorithms in search optimization and learning. Addison Wesley, Reading
119.
Shi Y, Eberhart RC (1998) Parameter selection in particle swarm optimization. In: The proceedings of the international conference on evolutionary programming, pp 591–600
120.
Chen S, Billings SA, Cowan CFN, Grant PW (1990) Practical identification of Narmax models using radial basis functions. Int J Control 52:1327–1350MathSciNetMATHCrossRef
121.
Holcomb T, Moran M (1991) Local training for radial basis function networks: towards solving the hidden unit problem. In: The proceedings of the American control conference, pp 2331–2336
122.
Lee S, Rhce MK (1991) A Gaussian potential function network with hierarchically self-organizing learning. Neural Netw 4:207–224CrossRef
123.
Musavi MT, Ahmed W, Chan KH, Faris KB, Hummels DM (1992) On the training of radial basis function classifiers. Neural Netw 5:595–603CrossRef
124.
Lan Y, Soh YC, Huang G-B (2010) Constructive hidden nodes selection of extreme learning machine for regression. Neurocomputing 73:3191–3199CrossRef
Metadaten
Titel
Synchronization of general chaotic systems using neural controllers with application to secure communication
verfasst von
Mansour Sheikhan
Reza Shahnazi
Sahar Garoucy
Publikationsdatum
01.02.2013
Verlag
Springer-Verlag
Erschienen in
Neural Computing and Applications / Ausgabe 2/2013
Print ISSN: 0941-0643
Elektronische ISSN: 1433-3058
DOI
https://doi.org/10.1007/s00521-011-0697-0

Weitere Artikel der Ausgabe 2/2013

Neural Computing and Applications 2/2013 Zur Ausgabe

Editorial

The neural paradigm for complex systems: new algorithms and applications

Original Article

Robust stability criteria for uncertain stochastic neural networks of neutral-type with interval time-varying delays

ISNN 2011

The finite-horizon optimal control for a class of time-delay affine nonlinear system

Original Article

Supplier selection and purchase problem for multi-echelon defective supply chain system with stochastic demand

ISNN 2011

Robust receding horizon control of uncertain fuzzy systems

ISNN 2011

Global stability analysis of multitime-scale neural networks