Skip to main content
Disciplines
Automotive Business IT + Informatics Construction + Real Estate Electrical Engineering + Electronics Energy + Sustainability Insurance + Risk Finance + Banking Management + Leadership Marketing + Sales Mechanical Engineering + Materials
Events
DE
EN
Books
Journals
Topic Page
Marketing
Start single access now
Access for companies
EXTENDED SEARCH
Log in
Top
Neural Computing and Applications
Published in: Neural Computing and Applications 1/2013

01-01-2013 | Original Article

Guaranteed cost synchronous control of time-varying delay cellular neural networks

Authors: Jianjun Tu, Hanlin He, Ping Xiong

Published in: Neural Computing and Applications | Issue 1/2013

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

This paper deals with the synchronization of time-varying delay cellular neural networks. Based on the Lyapunov stability analysis and the zoned discussion and maximax synthesis (ZDMS) method, the quadratic matrix inequality (QMI) criterion for the guaranteed cost synchronous controller is designed to synchronize the given chaotic systems. For the convenience to solve, using a generalized result of Schur complement, the criterion in the form of QMI is turned into the linear matrix inequality (LMI) form, which can be used efficiently via existing numerical convex optimization algorithms such as the interior-point algorithms for solving LMIs. The minimization of the guaranteed cost is further studied, and the corresponding LMI criterion for getting the controller is given. Finally, numerical examples are given to show the effectiveness of proposed guaranteed cost synchronous control and its corresponding minimization problem.
previous article Improving combination method of NCL experts using gating network
next article Simple models for the estimation of shearing resistance angle of uniform sands

Dont have a licence yet? Then find out more about our products and how to get one now:

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!

inform now

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!

inform now

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!

inform now
Literature
1.
Li Z, Sun J, Oh S (2009) Design, analysis and experimental validation of a robust nonlinear path following controller for marine surface vessels. Automatica 45(7):1649–1658MathSciNetMATHCrossRef
2.
O’Brien JF (2009) Multi-path nonlinear dynamic compensation for rudder roll stabilization. Control Eng Pract 17(12):1405–1414CrossRef
3.
Brieger O, Kerr M, Leißling D, Postlethwaite I, Sofrony J, Turner MC (2009) Flight testing of a rate saturation compensation scheme on the ATTAS aircraft. Aerosp Sci Technol 13(2–3):92–104CrossRef
4.
Indiveri G, Paulus J, Plöger PG (2007) Motion control of Swedish wheeled mobile robots in the presence of actuator saturation. Lect Notes Comput Sci 4434:35–46CrossRef
5.
Pedra J, Candela I, Barrera A (2009) Saturation model for squirrel-cage induction motors. Electric Power Syst Res 79(7):1054–1061CrossRef
6.
Loboda V, Lapusta Y, Sheveleva A (2010) Limited permeable crack in an interlayer between piezoelectric materials with different zones of electrical saturation and mechanical yielding. Int J Solids Struct 47(14–15):1795–1806MATHCrossRef
7.
Faldin N, Morzhov A, Boiko I (2009) Analysis of periodic motions in relay feedback systems with saturation in plant dynamics. Int J Syst Sci 40(6):659–668MathSciNetCrossRef
8.
Ponce FJM, Gómez FMF (2010) Stability, bifurcations and response analysis of time delay control system with initial conditions and saturation effects. In: 18th Mediterranean conference on control & automation, MED2010, Marrakech, June 2010, pp 987–992
9.
Corsellas AG (2008/2009) Virtual orbits and two-parameter bifurcation analysis in power electronic converters [D]. Enginyeria de Sistemes, Universitat Politècnica de catalunya/Automàtica i Informàtica Industrial
10.
Salarieh H (2007) Nonlinear feedback control of chaotic pendulum in presence of saturation effect. Chaos Solitons Fractals 31(2):292–304MathSciNetMATHCrossRef
11.
Zeng ZG, Wang J (2007) Analysis and design of associative memories based on recurrent neural networks with linear saturation activation functions and time-varying delays. Neural Comput 19(8):2149–2182MathSciNetMATHCrossRef
12.
Zeng ZG, Jun W (2009) Associative memories based on continuous-time cellular neural networks designed using space-invariant cloning templates. Neural Netw 22(5–6):651–657CrossRef
13.
Li N, Lu HX (2008) Single-electron tunneling depressing synapse for cellular neural networks. Neural Comput Appl 17(2):111–118CrossRef
14.
Su TJ, Huang MY, Hou CL, Lin YJ (2010) Cellular neural networks for gray image noise cancellation based on a hybrid linear matrix inequality and particle swarm optimization approach. Neural Process Lett 32(2):147–165CrossRef
15.
16.
17.
Leine RI, van de Wouw N (2008) Stability and convergence of mechanical systems with unilateral constraints. Springer, BerlinMATHCrossRef
18.
Hu T, Teel AR (2006) Stability and performance for saturated systems via quadratic and nonquadratic Lyapunov functions. IEEE Trans Automat Contr 51(11):1770–1786MathSciNetCrossRef
19.
Dai D, Hu T, Teel AR (2007) Analysis of systems with saturation/deadzone via piecewise–quadratic Lyapunov functions. In: American control conference, ACC2007, New York, pp 5822–5827
20.
Zhang LX, Boukas EK, Haidar A (2008) Delay-range-dependent control synthesis for time-delay systems with actuator saturation. Automatica 44(10):2691–2695MathSciNetMATHCrossRef
21.
Shi T, Su HY, Chu J (2010) On stability and stabilization for uncertain stochastic systems with time-delay and actuator saturation. Int J Syst Sci 41(5):501–509MathSciNetCrossRef
22.
Kao YG, Gao CC (2008) Global exponential stability analysis for cellular neural networks with variable coefficients and delays. Neural Comput Appl 17(3):291–295MathSciNetCrossRef
23.
Yakoubi K, Chitour Y (2007) Linear systems subject to input saturation and time delay: global asymptotic stabilization. IEEE Trans Automat Contr 52(5):874–879MathSciNetCrossRef
24.
Xin H, Gan D, Qiu J (2008) Stability analysis of linear dynamical systems with saturation nonlinearities and a short time delay. Phys Lett A 372(22):3999–4009MathSciNetMATHCrossRef
25.
Fang HJ, Lin ZL, Shamash Y (2006) Disturbance tolerance and rejection of linear systems with imprecise knowledge of actuator input output characteristics. Automatica 42(9):1523–1530MathSciNetMATHCrossRef
26.
Kebriaei H, Yazdanpanah MJ (2010) Robust adaptive synchronization of different uncertain chaotic systems subject to input nonlinearity. Commun Nonlinear Sci Numer Simul 15(2):430–441MathSciNetMATHCrossRef
27.
Wang K, Teng ZD, Jiang HJ (2010) Global exponential synchronization in delayed reaction-diffusion cellular neural networks with the Dirichlet boundary conditions. Math Comput Model 52(1–2):12–24MathSciNetMATHCrossRef
28.
Khalil HK (2002) Nonlinear systems, 3rd edn. Prentice Hall, Upper Saddle River
29.
Fliegner T, Logemann H, Ryan EP (2003) Low-gain integral control of continuous-time linear systems subject to input and output nonlinearities. Automatica 39(3):455–462MathSciNetMATHCrossRef
30.
31.
Hu TS, Lin ZL, Chen BM (2002) An analysis and design method for linear systems subject to actuator saturation and disturbance. Automatica 38(2):351–359MATHCrossRef
Metadata
Title
Guaranteed cost synchronous control of time-varying delay cellular neural networks
Authors
Jianjun Tu
Hanlin He
Ping Xiong
Publication date
01-01-2013
Publisher
Springer-Verlag
Published in
Neural Computing and Applications / Issue 1/2013
Print ISSN: 0941-0643
Electronic ISSN: 1433-3058
DOI
https://doi.org/10.1007/s00521-011-0667-6

Other articles of this Issue 1/2013

Neural Computing and Applications 1/2013 Go to the issue

Cont. Dev. of Neural Compt. & Appln.

New conditions for global exponential stability of continuous-time neural networks with delays

Cont. Dev. of Neural Compt. & Appln.

Artificial neural networks applied to fetal monitoring in labour

Cont. Dev. of Neural Compt. & Appln.

Time series forecasting by evolving artificial neural networks with genetic algorithms, differential evolution and estimation of distribution algorithm

Original Article

Prediction of the effect of varying cure conditions and w/c ratio on the compressive strength of concrete using artificial neural networks

Cont. Dev. of Neural Compt. & Appln.

ARTIE and MUSCLE models: building ensemble classifiers from fuzzy ART and SOM networks

Cont. Dev. of Neural Compt. & Appln.

Learning gene regulatory networks using the bees algorithm

Premium Partner

    Image Credits