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Erschienen in: Neural Computing and Applications 8/2020

06.11.2019 | Original Article

A new fixed-time stabilization approach for neural networks with time-varying delays

verfasst von: Chaouki Aouiti, Foued Miaadi

Erschienen in: Neural Computing and Applications | Ausgabe 8/2020

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Abstract

In this article, we investigate the problem of fixed-time stabilization (FXTSB) of delayed neural networks (DNNs). Firstly, some new general conditions on the control law are established to guarantee the FXTSB of DNNs. Secondly, specific linear matrix inequalities FXTSB conditions are obtained by constructing different kinds of controller which include a delay-dependent and free ones. Furthermore, the FXTSB of DNNs with unbounded activation functions is investigated and the restriction of differentiability of the time-varying delay is removed. Finally, three numerical examples accompanied by graphical illustrations are given to illuminate our theoretical results and based on chaotic synchronization, our approach has been successfully applied to secure communication which can be realized with a time delay.

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Literatur
1.
Zurück zum Zitat Ali MS, Saravanan S, Cao J (2017) Finite-time boundedness, L2-gain analysis and control of Markovian jump switched neural networks with additive time-varying delays. Nonlinear Anal Hybrid Syst 23:27–43MathSciNetMATH Ali MS, Saravanan S, Cao J (2017) Finite-time boundedness, L2-gain analysis and control of Markovian jump switched neural networks with additive time-varying delays. Nonlinear Anal Hybrid Syst 23:27–43MathSciNetMATH
2.
Zurück zum Zitat Aouiti C (2016) Neutral impulsive shunting inhibitory cellular neural networks with time-varying coefficients and leakage delays. Cogn Neurodyn 10(6):573–591MathSciNet Aouiti C (2016) Neutral impulsive shunting inhibitory cellular neural networks with time-varying coefficients and leakage delays. Cogn Neurodyn 10(6):573–591MathSciNet
4.
Zurück zum Zitat Aouiti C, Alimi AM, Karray F, Maalej A (2005) The design of beta basis function neural network and beta fuzzy systems by a hierarchical genetic algorithm. Fuzzy Sets Syst 154(2):251–274MathSciNetMATH Aouiti C, Alimi AM, Karray F, Maalej A (2005) The design of beta basis function neural network and beta fuzzy systems by a hierarchical genetic algorithm. Fuzzy Sets Syst 154(2):251–274MathSciNetMATH
5.
Zurück zum Zitat Aouiti C, Alimi AM, Maalej A (2002) A genetic-designed beta basis function neural network for multi-variable functions approximation. Syst Anal Model Simul 42(7):975–1009MATH Aouiti C, Alimi AM, Maalej A (2002) A genetic-designed beta basis function neural network for multi-variable functions approximation. Syst Anal Model Simul 42(7):975–1009MATH
6.
Zurück zum Zitat Aouiti C, Coirault P, Miaadi F, Moulay E (2017) Finite time boundedness of neutral high-order Hopfield neural networks with time delay in the leakage term and mixed time delays. Neurocomputing 260:378–392 Aouiti C, Coirault P, Miaadi F, Moulay E (2017) Finite time boundedness of neutral high-order Hopfield neural networks with time delay in the leakage term and mixed time delays. Neurocomputing 260:378–392
7.
Zurück zum Zitat Aouiti C, M’hamdi MS, Cao J, Alsaedi A (2017) Piecewise pseudo almost periodic solution for impulsive generalised high-order Hopfield neural networks with leakage delays. Neural Process Lett 45(2):615–648 Aouiti C, M’hamdi MS, Cao J, Alsaedi A (2017) Piecewise pseudo almost periodic solution for impulsive generalised high-order Hopfield neural networks with leakage delays. Neural Process Lett 45(2):615–648
8.
Zurück zum Zitat Aouiti C, M’hamdi MS, Touati A (2016) Pseudo almost automorphic solutions of recurrent neural networks with time-varying coefficients and mixed delays. Neural Process Lett 45(1):121–140 Aouiti C, M’hamdi MS, Touati A (2016) Pseudo almost automorphic solutions of recurrent neural networks with time-varying coefficients and mixed delays. Neural Process Lett 45(1):121–140
9.
Zurück zum Zitat Berman A, Plemmons RJ (1994) Nonnegative matrices in the mathematical sciences. Classics in applied mathematics, vol. 9. SIAM Berman A, Plemmons RJ (1994) Nonnegative matrices in the mathematical sciences. Classics in applied mathematics, vol. 9. SIAM
10.
Zurück zum Zitat Bernuau E, Perruquetti W, Efimov D, Moulay E (2015) Robust finite-time output feedback stabilisation of the double integrator. Int J Control 88(3):451–460MathSciNetMATH Bernuau E, Perruquetti W, Efimov D, Moulay E (2015) Robust finite-time output feedback stabilisation of the double integrator. Int J Control 88(3):451–460MathSciNetMATH
11.
Zurück zum Zitat Boyd SP, El Ghaoui L, Feron E, Balakrishnan V (1994) Linear matrix inequalities in system and control theory. Studies in applied mathematics, vol 15. SIAMMATH Boyd SP, El Ghaoui L, Feron E, Balakrishnan V (1994) Linear matrix inequalities in system and control theory. Studies in applied mathematics, vol 15. SIAMMATH
12.
Zurück zum Zitat Cao J, Li R (2017) Fixed-time synchronization of delayed memristor-based recurrent neural networks. Sci China Inf Sci 60(3):032201MathSciNet Cao J, Li R (2017) Fixed-time synchronization of delayed memristor-based recurrent neural networks. Sci China Inf Sci 60(3):032201MathSciNet
13.
Zurück zum Zitat Coban R (2013) A context layered locally recurrent neural network for dynamic system identification. Eng Appl Artif Intell 26(1):241–250 Coban R (2013) A context layered locally recurrent neural network for dynamic system identification. Eng Appl Artif Intell 26(1):241–250
14.
Zurück zum Zitat Coban R (2014) Power level control of the triga mark-ii research reactor using the multifeedback layer neural network and the particle swarm optimization. Ann Nucl Energy 69:260–266 Coban R (2014) Power level control of the triga mark-ii research reactor using the multifeedback layer neural network and the particle swarm optimization. Ann Nucl Energy 69:260–266
15.
Zurück zum Zitat Coban R, Aksu IO (2018) Neuro-controller design by using the multifeedback layer neural network and the particle swarm optimization. Tehnički vjesnik 25(2):437–444 Coban R, Aksu IO (2018) Neuro-controller design by using the multifeedback layer neural network and the particle swarm optimization. Tehnički vjesnik 25(2):437–444
16.
Zurück zum Zitat Coban R, Can B (2009) An expert trajectory design for control of nuclear research reactors. Expert Syst Appl 36(9):11502–11508 Coban R, Can B (2009) An expert trajectory design for control of nuclear research reactors. Expert Syst Appl 36(9):11502–11508
17.
Zurück zum Zitat Ding X, Cao J, Alsaedi A, Alsaadi FE, Hayat T (2017) Robust fixed-time synchronization for uncertain complex-valued neural networks with discontinuous activation functions. Neural Netw 90:42–55 Ding X, Cao J, Alsaedi A, Alsaadi FE, Hayat T (2017) Robust fixed-time synchronization for uncertain complex-valued neural networks with discontinuous activation functions. Neural Netw 90:42–55
18.
Zurück zum Zitat Forti M, Manetti S, Marini M (1992) A condition for global convergence of a class of symmetric neural circuits. IEEE Trans Circuits Syst I Fundam Theory Appl 39(6):480–483MATH Forti M, Manetti S, Marini M (1992) A condition for global convergence of a class of symmetric neural circuits. IEEE Trans Circuits Syst I Fundam Theory Appl 39(6):480–483MATH
19.
Zurück zum Zitat Forti M, Tesi A (1995) New conditions for global stability of neural networks with application to linear and quadratic programming problems. IEEE Trans Circuits Syst I Fundam Theory Appl 42(7):354–366MathSciNetMATH Forti M, Tesi A (1995) New conditions for global stability of neural networks with application to linear and quadratic programming problems. IEEE Trans Circuits Syst I Fundam Theory Appl 42(7):354–366MathSciNetMATH
20.
Zurück zum Zitat Gupta M, Jin L, Homma N (2004) Static and dynamic neural networks: from fundamentals to advanced theory. Wiley, New York Gupta M, Jin L, Homma N (2004) Static and dynamic neural networks: from fundamentals to advanced theory. Wiley, New York
22.
Zurück zum Zitat Hu C, Yu J, Chen Z, Jiang H, Huang T (2017) Fixed-time stability of dynamical systems and fixed-time synchronization of coupled discontinuous neural networks. Neural Netw 89:74–83 Hu C, Yu J, Chen Z, Jiang H, Huang T (2017) Fixed-time stability of dynamical systems and fixed-time synchronization of coupled discontinuous neural networks. Neural Netw 89:74–83
23.
Zurück zum Zitat Hu C, Yu J, Jiang H, Teng Z (2010) Exponential stabilization and synchronization of neural networks with time-varying delays via periodically intermittent control. Nonlinearity 23(10):2369MathSciNetMATH Hu C, Yu J, Jiang H, Teng Z (2010) Exponential stabilization and synchronization of neural networks with time-varying delays via periodically intermittent control. Nonlinearity 23(10):2369MathSciNetMATH
24.
Zurück zum Zitat Kartsatos AG (1980) Advanced ordinary differential equations. Mariner, Tampa, FLMATH Kartsatos AG (1980) Advanced ordinary differential equations. Mariner, Tampa, FLMATH
25.
Zurück zum Zitat Khalil HK (1996) Noninear systems. Prentice-Hall, Upper Saddle River, pp 114–140 Khalil HK (1996) Noninear systems. Prentice-Hall, Upper Saddle River, pp 114–140
26.
Zurück zum Zitat Léchappé V, Rouquet S, González A, Plestan F, De León J, Moulay E, Glumineau A (2016) Delay estimation and predictive control of uncertain systems with input delay: application to a dc motor. IEEE Trans Ind Electron 63(9):5849–5857 Léchappé V, Rouquet S, González A, Plestan F, De León J, Moulay E, Glumineau A (2016) Delay estimation and predictive control of uncertain systems with input delay: application to a dc motor. IEEE Trans Ind Electron 63(9):5849–5857
28.
Zurück zum Zitat Li R, Cao J, Alsaedi A, Alsaadi F (2017) Exponential and fixed-time synchronization of Cohen–Grossberg neural networks with time-varying delays and reaction-diffusion terms. Appl Math Comput 313(Supplement C):37–51MathSciNetMATH Li R, Cao J, Alsaedi A, Alsaadi F (2017) Exponential and fixed-time synchronization of Cohen–Grossberg neural networks with time-varying delays and reaction-diffusion terms. Appl Math Comput 313(Supplement C):37–51MathSciNetMATH
29.
Zurück zum Zitat Li X (2010) New results on global exponential stabilization of impulsive functional differential equations with infinite delays or finite delays. Nonlinear Anal Real World Appl 11(5):4194–4201MathSciNetMATH Li X (2010) New results on global exponential stabilization of impulsive functional differential equations with infinite delays or finite delays. Nonlinear Anal Real World Appl 11(5):4194–4201MathSciNetMATH
30.
Zurück zum Zitat Li X, Bohner M, Wang CK (2015) Impulsive differential equations: periodic solutions and applications. Automatica 52:173–178MathSciNetMATH Li X, Bohner M, Wang CK (2015) Impulsive differential equations: periodic solutions and applications. Automatica 52:173–178MathSciNetMATH
31.
Zurück zum Zitat Li X, Cao J (2017) An impulsive delay inequality involving unbounded time-varying delay and applications. IEEE Trans Autom Control 62(7):3618–3625MathSciNetMATH Li X, Cao J (2017) An impulsive delay inequality involving unbounded time-varying delay and applications. IEEE Trans Autom Control 62(7):3618–3625MathSciNetMATH
32.
Zurück zum Zitat Li X, Ding Y (2017) Razumikhin-type theorems for time-delay systems with persistent impulses. Syst Control Lett 107:22–27MathSciNetMATH Li X, Ding Y (2017) Razumikhin-type theorems for time-delay systems with persistent impulses. Syst Control Lett 107:22–27MathSciNetMATH
33.
Zurück zum Zitat Li X, Wu J (2016) Stability of nonlinear differential systems with state-dependent delayed impulses. Automatica 64:63–69MathSciNetMATH Li X, Wu J (2016) Stability of nonlinear differential systems with state-dependent delayed impulses. Automatica 64:63–69MathSciNetMATH
34.
Zurück zum Zitat Li X, Zhang X, Song S (2017) Effect of delayed impulses on input-to-state stability of nonlinear systems. Automatica 76:378–382MathSciNetMATH Li X, Zhang X, Song S (2017) Effect of delayed impulses on input-to-state stability of nonlinear systems. Automatica 76:378–382MathSciNetMATH
35.
Zurück zum Zitat Liu X, Ho DW, Yu W, Cao J (2014) A new switching design to finite-time stabilization of nonlinear systems with applications to neural networks. Neural Netw 57:94–102MATH Liu X, Ho DW, Yu W, Cao J (2014) A new switching design to finite-time stabilization of nonlinear systems with applications to neural networks. Neural Netw 57:94–102MATH
36.
Zurück zum Zitat Liu X, Jiang N, Cao J, Wang S, Wang Z (2013) Finite-time stochastic stabilization for BAM neural networks with uncertainties. J Frankl Inst 350(8):2109–2123MathSciNetMATH Liu X, Jiang N, Cao J, Wang S, Wang Z (2013) Finite-time stochastic stabilization for BAM neural networks with uncertainties. J Frankl Inst 350(8):2109–2123MathSciNetMATH
37.
Zurück zum Zitat Liu X, Park JH, Jiang N, Cao J (2014) Nonsmooth finite-time stabilization of neural networks with discontinuous activations. Neural Netw 52:25–32MATH Liu X, Park JH, Jiang N, Cao J (2014) Nonsmooth finite-time stabilization of neural networks with discontinuous activations. Neural Netw 52:25–32MATH
38.
Zurück zum Zitat Lofberg J (2004) Yalmip : a toolbox for modeling and optimization in MATLAB. In: IEEE international symposium on computer aided control systems design, pp 284–289 Lofberg J (2004) Yalmip : a toolbox for modeling and optimization in MATLAB. In: IEEE international symposium on computer aided control systems design, pp 284–289
39.
Zurück zum Zitat Lu H (2002) Chaotic attractors in delayed neural networks. Phys Lett A 298(2–3):109–116MATH Lu H (2002) Chaotic attractors in delayed neural networks. Phys Lett A 298(2–3):109–116MATH
40.
Zurück zum Zitat Lu J, Ho DW, Wu L (2009) Exponential stabilization of switched stochastic dynamical networks. Nonlinearity 22(4):889MathSciNetMATH Lu J, Ho DW, Wu L (2009) Exponential stabilization of switched stochastic dynamical networks. Nonlinearity 22(4):889MathSciNetMATH
41.
Zurück zum Zitat Manivannan R, Samidurai R, Cao J, Alsaedi A, Alsaadi FE (2018) Design of extended dissipativity state estimation for generalized neural networks with mixed time-varying delay signals. Inf Sci 424(Supplement C):175–203MathSciNet Manivannan R, Samidurai R, Cao J, Alsaedi A, Alsaadi FE (2018) Design of extended dissipativity state estimation for generalized neural networks with mixed time-varying delay signals. Inf Sci 424(Supplement C):175–203MathSciNet
42.
Zurück zum Zitat Ménard T, Moulay E, Perruquetti W (2017) Corrections to “a global high-gain finite-time observer”. IEEE Trans Autom Control 62(1):509–510MathSciNetMATH Ménard T, Moulay E, Perruquetti W (2017) Corrections to “a global high-gain finite-time observer”. IEEE Trans Autom Control 62(1):509–510MathSciNetMATH
43.
Zurück zum Zitat Menard T, Moulay E, Perruquetti W (2017) Fixed-time observer with simple gains for uncertain systems. Automatica 81:438–446MathSciNetMATH Menard T, Moulay E, Perruquetti W (2017) Fixed-time observer with simple gains for uncertain systems. Automatica 81:438–446MathSciNetMATH
44.
Zurück zum Zitat M’hamdi MS, Aouiti C, Touati A, Alimi AM, Snasel V (2016) Weighted pseudo almost-periodic solutions of shunting inhibitory cellular neural networks with mixed delays. Acta Math Sci 36(6):1662–1682MathSciNetMATH M’hamdi MS, Aouiti C, Touati A, Alimi AM, Snasel V (2016) Weighted pseudo almost-periodic solutions of shunting inhibitory cellular neural networks with mixed delays. Acta Math Sci 36(6):1662–1682MathSciNetMATH
45.
Zurück zum Zitat Michel AN, Farrell JA, Porod W (1989) Qualitative analysis of neural networks. IEEE Trans Circuits Syst 36(2):229–243MathSciNetMATH Michel AN, Farrell JA, Porod W (1989) Qualitative analysis of neural networks. IEEE Trans Circuits Syst 36(2):229–243MathSciNetMATH
46.
Zurück zum Zitat Moulay E, Dambrine M, Yeganefar N, Perruquetti W (2008) Finite-time stability and stabilization of time-delay systems. Syst Control Lett 57(7):561–566MathSciNetMATH Moulay E, Dambrine M, Yeganefar N, Perruquetti W (2008) Finite-time stability and stabilization of time-delay systems. Syst Control Lett 57(7):561–566MathSciNetMATH
47.
Zurück zum Zitat Ni J, Liu L, Liu C, Hu X, Li S (2017) Fast fixed-time nonsingular terminal sliding mode control and its application to chaos suppression in power system. IEEE Trans Circuits Syst II Express Briefs 64(2):151–155 Ni J, Liu L, Liu C, Hu X, Li S (2017) Fast fixed-time nonsingular terminal sliding mode control and its application to chaos suppression in power system. IEEE Trans Circuits Syst II Express Briefs 64(2):151–155
49.
Zurück zum Zitat Polyakov A (2012) Nonlinear feedback design for fixed-time stabilization of linear control systems. IEEE Trans Autom Control 57(8):2106–2110MathSciNetMATH Polyakov A (2012) Nonlinear feedback design for fixed-time stabilization of linear control systems. IEEE Trans Autom Control 57(8):2106–2110MathSciNetMATH
50.
Zurück zum Zitat Polyakov A, Efimov D, Perruquetti W (2015) Finite-time and fixed-time stabilization: implicit Lyapunov function approach. Automatica 51:332–340MathSciNetMATH Polyakov A, Efimov D, Perruquetti W (2015) Finite-time and fixed-time stabilization: implicit Lyapunov function approach. Automatica 51:332–340MathSciNetMATH
51.
Zurück zum Zitat Shen H, Park JH, Wu ZG (2014) Finite-time synchronization control for uncertain markov jump neural networks with input constraints. Nonlinear Dyn 77(4):1709–1720MathSciNetMATH Shen H, Park JH, Wu ZG (2014) Finite-time synchronization control for uncertain markov jump neural networks with input constraints. Nonlinear Dyn 77(4):1709–1720MathSciNetMATH
52.
Zurück zum Zitat Shen J, Cao J (2011) Finite-time synchronization of coupled neural networks via discontinuous controllers. Cogn Neurodyn 5(4):373–385 Shen J, Cao J (2011) Finite-time synchronization of coupled neural networks via discontinuous controllers. Cogn Neurodyn 5(4):373–385
53.
Zurück zum Zitat Sun J, Shen Y, Yin Q, Xu C (2013) Compound synchronization of four memristor chaotic oscillator systems and secure communication. Chaos Interdiscip J Nonlinear Sci 23(1):013140MathSciNetMATH Sun J, Shen Y, Yin Q, Xu C (2013) Compound synchronization of four memristor chaotic oscillator systems and secure communication. Chaos Interdiscip J Nonlinear Sci 23(1):013140MathSciNetMATH
54.
Zurück zum Zitat Vaidhyanathan VS (1993) Regulation and control mechanisms in biological systems. PTR Prentice Hall, Upper Saddle River Vaidhyanathan VS (1993) Regulation and control mechanisms in biological systems. PTR Prentice Hall, Upper Saddle River
55.
Zurück zum Zitat Wan Y, Cao J, Wen G, Yu W (2016) Robust fixed-time synchronization of delayed Cohen–Grossberg neural networks. Neural Netw 73(Supplement C):86–94MATH Wan Y, Cao J, Wen G, Yu W (2016) Robust fixed-time synchronization of delayed Cohen–Grossberg neural networks. Neural Netw 73(Supplement C):86–94MATH
56.
Zurück zum Zitat Wang L, Shen Y (2015) Finite-time stabilizability and instabilizability of delayed memristive neural networks with nonlinear discontinuous controller. IEEE Trans Neural Netw Learn Syst 26(11):2914–2924MathSciNet Wang L, Shen Y (2015) Finite-time stabilizability and instabilizability of delayed memristive neural networks with nonlinear discontinuous controller. IEEE Trans Neural Netw Learn Syst 26(11):2914–2924MathSciNet
57.
Zurück zum Zitat Wang L, Shen Y, Ding Z (2015) Finite time stabilization of delayed neural networks. Neural Netw 70:74–80MATH Wang L, Shen Y, Ding Z (2015) Finite time stabilization of delayed neural networks. Neural Netw 70:74–80MATH
58.
Zurück zum Zitat Wang L, Shen Y, Sheng Y (2016) Finite-time robust stabilization of uncertain delayed neural networks with discontinuous activations via delayed feedback control. Neural Netw 76:46–54MATH Wang L, Shen Y, Sheng Y (2016) Finite-time robust stabilization of uncertain delayed neural networks with discontinuous activations via delayed feedback control. Neural Netw 76:46–54MATH
59.
Zurück zum Zitat Wang L, Zeng Z, Hu J, Wang X (2017) Controller design for global fixed-time synchronization of delayed neural networks with discontinuous activations. Neural Netw 87:122–131MATH Wang L, Zeng Z, Hu J, Wang X (2017) Controller design for global fixed-time synchronization of delayed neural networks with discontinuous activations. Neural Netw 87:122–131MATH
60.
Zurück zum Zitat Wei R, Cao J, Alsaedi A (2018) Finite-time and fixed-time synchronization analysis of inertial memristive neural networks with time-varying delays. Cogn Neurodyn 12:121–134 Wei R, Cao J, Alsaedi A (2018) Finite-time and fixed-time synchronization analysis of inertial memristive neural networks with time-varying delays. Cogn Neurodyn 12:121–134
61.
Zurück zum Zitat Wu R, Lu Y, Chen L (2015) Finite-time stability of fractional delayed neural networks. Neurocomputing 149:700–707 Wu R, Lu Y, Chen L (2015) Finite-time stability of fractional delayed neural networks. Neurocomputing 149:700–707
63.
Zurück zum Zitat Yang X, Cao J, Ho DW (2015) Exponential synchronization of discontinuous neural networks with time-varying mixed delays via state feedback and impulsive control. Cogn Neurodyn 9(2):113–128 Yang X, Cao J, Ho DW (2015) Exponential synchronization of discontinuous neural networks with time-varying mixed delays via state feedback and impulsive control. Cogn Neurodyn 9(2):113–128
64.
Zurück zum Zitat Zha J, Huang H, Huang T, Cao J, Alsaedi A, Alsaadi FE (2017) A general memristor model and its applications in programmable analog circuits. Neurocomputing 267(Supplement C):134–140 Zha J, Huang H, Huang T, Cao J, Alsaedi A, Alsaadi FE (2017) A general memristor model and its applications in programmable analog circuits. Neurocomputing 267(Supplement C):134–140
65.
Zurück zum Zitat Zhang H, Wang Z, Liu D (2008) Global asymptotic stability of recurrent neural networks with multiple time-varying delays. IEEE Trans Neural Netw 19(5):855–873 Zhang H, Wang Z, Liu D (2008) Global asymptotic stability of recurrent neural networks with multiple time-varying delays. IEEE Trans Neural Netw 19(5):855–873
66.
Zurück zum Zitat Zhang H, Wang Z, Liu D (2014) A comprehensive review of stability analysis of continuous-time recurrent neural networks. IEEE Trans Neural Netw Learn Syst 25(7):1229–1262 Zhang H, Wang Z, Liu D (2014) A comprehensive review of stability analysis of continuous-time recurrent neural networks. IEEE Trans Neural Netw Learn Syst 25(7):1229–1262
Metadaten
Titel
A new fixed-time stabilization approach for neural networks with time-varying delays
verfasst von
Chaouki Aouiti
Foued Miaadi
Publikationsdatum
06.11.2019
Verlag
Springer London
Erschienen in
Neural Computing and Applications / Ausgabe 8/2020
Print ISSN: 0941-0643
Elektronische ISSN: 1433-3058
DOI
https://doi.org/10.1007/s00521-019-04586-y

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