Exponential stability of inertial BAM neural networks with time-varying delay via periodically intermittent control

详细信息    查看全文

• 作者：Wei Zhang ; Chuandong Li ; Tingwen Huang ; Jie Tan
• 关键词：Exponential stability ; Inertial BAM neural networks ; Time ; varying delay ; Intermittent control
• 刊名：Neural Computing & Applications
• 出版年：2015
• 出版时间：October 2015
• 年：2015
• 卷：26
• 期：7
• 页码：1781-1787
• 全文大小：502 KB
• 参考文献：1.Wen SP, Zeng ZG, Huang TW (2012) H\(\infty \) Filtering for neutral systems with mixed delays and multiplicative noises. IEEE Trans Circuits Syst Part II 59(11):820鈥?24CrossRef
  2.Li XD, Song S (2014) Research on synchronization of chaotic delayed neural networks with stochastic perturbation using impulsive control method. Commun Nonlinear Sci Numer Simul 19(10):3892鈥?900MathSciNet CrossRef
  3.Li XD, Song S (2013) Impulsive control for existence, uniqueness, and global stability of periodic solutions of recurrent neural networks with discrete and continuously distributed delays. IEEE Trans Neural Netw Learn Syst 24(6):868鈥?77CrossRef
  4.Wen SP, Bao G, Zeng ZG, Chen YR, Huang TW (2013) Global exponential synchronization of memristor-based recurrent networks with time-varying delays. Neural Netw 48:195鈥?03CrossRef MATH
  5.Hopfield J (1984) Neurons with graded response have collective computational properties like those of two-stage neurons. In: Proceedings of the national academy science United States America, vol 81, no. 10, pp 3088鈥?092
  6.Chua L, Yang L (1988) Cellular neural networks: applications. IEEE Trans Circuits Syst 35(10):1273鈥?290MathSciNet CrossRef
  7.Chua L, Yang L (1988) Cellular networks: theory. IEEE Trans Circuits Syst 35(10):1257鈥?272MathSciNet CrossRef MATH
  8.Cohen M, Grossberg S (1983) Absolute stability of global pattern formation and parallel memory storage by competitive neural networks. IEEE Trans Syst Man Cybern 13(5):815鈥?26MathSciNet CrossRef MATH
  9.Wen SP, Zeng ZG, Huang TW (2013) Passivity analysis of memristor-based recurrent neural networks with time-varying delays. J Frankl Inst 350:2354鈥?370MathSciNet CrossRef MATH
  10.Kosko B (1988) Bi-directional associative memories. IEEE Trans Syst Man Cybern 18(1):49鈥?0MathSciNet CrossRef
  11.He X, Li CD, Huang TW (2014) Neural network for solving convex quadratic bilevel programming problems. Neural Netw 51:17鈥?5CrossRef
  12.He X, Li CD, Huang TW (2014) A recurrent neural network for solving bilevel linear programming problem. IEEE Trans Neural Netw Learn Syst 25(4):824鈥?30CrossRef
  13.Tang Y, Wang Z, Gao H, Swift S, Kurths J (2012) a constrained evolutionary computation method for detecting controlling regions of cortical networks. IEEE/ACM Trans Comput Biol Bioinf 9(6):1569鈥?581CrossRef
  14.Strogatz SH, Stewart I (1993) Coupled oscillators and biological synchronization. Sci Am 269(6):102鈥?CrossRef
  15.Wu CW (2007) Synchronization in complex networks of nonlinear dynamical systems. World Scientific, SingaporeCrossRef MATH
  16.Gao Q, Feng G, Xi ZY (2014) A new design of robust h sliding mode control for uncertain stochasti T-S fuzzy time-delay systems. IEEE Trans Cybern 44(9):1556鈥?566CrossRef
  17.Yang XS, Cao JD, Lu JQ (2011) synchronization of delayed complex dynamical networks with impulsive and stochastic effects. Nonlinear Anal Real World Appl 12:2252鈥?266MathSciNet CrossRef MATH
  18.Cao JD, Wan Y (2014) Matrix measure strategies for stability and synchronization of inertial BAM neural network with time delays. Neural Netw 53:165鈥?72CrossRef
  19.Wei X (2013) Exponential stability of periodic solutions for inertial Cohen鈥揋rossberg-type BAM neural networks with time delays. WSEAS Trans Math 12(2):159鈥?69
  20. Xu C, Zhang Q (2014) Existence and global exponential stability of anti-periodic solutions for BAM neural networks with inertial term and delay. Neurocomputing 153:108鈥?16CrossRef
  21. Hu J, Cao J, Alofi A et al (2014) Pinning synchronization of coupled inertial delayed neural networks. Cogn Neurodyn. doi:10.鈥?007/鈥媠11571-9322-0
  22.呕ochowski M (2000) Intermittent dynamical control. Phys D Nonlinear Phenom 145(3):181鈥?90CrossRef MATH
  23.Cai SM, Liu ZR, Xu FD, Shen JW (2009) Periodically intermittent controlling complex dynamical networks with time-varying delays to a desired orbit. Phys Lett A 373:3846鈥?854MathSciNet CrossRef MATH
  24.Yu J, Hu C, Jiang HJ, Teng ZD (2012) Exponential lay synchronization for delayed fuzzy cellular nerual networks via periodically intermittent control. Math Comput Simul 82:895鈥?08MathSciNet CrossRef MATH
  25.Xia WG, Cao JD (2009) Pinning synchronization of delayed dynamical networks via periodically intermittent control. Chaos 19:012120MathSciNet CrossRef
  26.Wang JY, Feng JW, Xu C, Zhao Y (2013) Exponential synchronization of stochastic perturbed complex networks with time-varying delays via periodically intermittent pinning. Commun Nonlinear Sci Numer Simul 18:3146鈥?157MathSciNet CrossRef
  27.Halanay A (1966) Differential equation: stability. Oscillations, time lags. Academic, New YorkMATH
  28.Xia W, Cao J (2009) Pinning synchronization of delayed dynamical networks via periodically intermittent control. Chaos Interdiscip J Nonlinear Sci 19(1):013120MathSciNet CrossRef
  29.Yang Z, Xu D (2007) stability analysis and design of impulsive control systems with time delay. IEEE Trans Autom Control 52(8):1448鈥?454CrossRef
  
• 作者单位：Wei Zhang (1)
  Chuandong Li (1)
  Tingwen Huang (2)
  Jie Tan (3)
  
  1. College of Computer Science, Chongqing University, Chongqing, 400044, People鈥檚 Republic of China
  2. Department of Mathematics, Texas A&M University at Qatar, P.O. Box 23874, Doha, Qatar
  3. College of Mathematics and Physics, Chongqing University of Science and Technology, Chongqing, 401331, People鈥檚 Republic of China
  
• 刊物类别：Computer Science
• 刊物主题：Simulation and Modeling
  
• 出版者：Springer London
• ISSN：1433-3058

文摘

In this paper, we study global exponential stability problem for inertial BAM neural networks with time-varying delay via periodically intermittent control. By utilizing suitable variable substitution, the second-order system can be transformed into first-order differential equations. It is shown that the states of the inertial BAM neural networks with time-varying delay via periodically intermittent control can be globally exponential stabilized with a desired oribis under the designed intermittent controller. Finally, a typical example is chosen to illustrate the validation of the theoretical results. Keywords Exponential stability Inertial BAM neural networks Time-varying delay Intermittent control