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Robust extended dissipativity criteria for discrete-time uncertain neural networks with time-varying delays
Authors:Saravanakumar  R.  Rajchakit  Grienggrai  Ali  M. Syed  Xiang   Zhengrong  Joo   Young Hoon
Affiliation:1.Department of Mathematics, Faculty of Science, Maejo University, Chiang Mai, 50290, Thailand
;2.Department of Mathematics, Thiruvalluvar University, Vellore, 632115, Tamil Nadu, India
;3.School of Automation, Nanjing University of Science and Technology, Nanjing, 210094, People’s Republic of China
;4.Department of Control and Robotics Engineering, Kunsan National University, Kunsan, Chonbuk, 573-701, Republic of Korea
;5.Department of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), Thung Khru, Bangkok, 10140, Thailand
;
Abstract:

In this draft, we consider the problem of robust extended dissipativity for uncertain discrete-time neural networks (DNNs) with time-varying delays. By constructing appropriate Lyapunov–Krasovskii functional (LKF), sufficient conditions are established to ensure that the considered time-delayed uncertain DNN is extended dissipative. The derived conditions are presented in terms of linear matrix inequalities (LMIs). Numerical examples are provided to illustrate the superiority of this result.

Keywords:
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