Exponential extended dissipative performance for delayed discrete-time neural networks under memoryless resilient-based observer design |
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| Institution: | 1. Department of Mathematics, Harbin University of Science and Technology, Harbin 150080, China;2. Heilongjiang Provincial Key Laboratory of Optimization Control and Intelligent Analysis for Complex Systems, Harbin University of Science and Technology, Harbin 150080, China;3. School of Automation, Harbin University of Science and Technology, Harbin 150080, China;4. School of Mathematics-Physics and Finance, Anhui Polytechnic University, Wuhu 241000, China;1. School of Automation, China University of Geosciences, Wuhan 430074, China;2. Hubei Key Laboratory of Advanced Control and Intelligent Automation for Complex Systems, Wuhan 430074, China;3. Department of Electrical Engineering and Electronics, University of Liverpool, Liverpool L69 3GJ, United Kingdom;1. Department of Mathematics, The Gandhigram Rural Institute (Deemed to be University), Gandhigram 624 302, Tamilnadu, India;2. Research Center for Wind Energy Systems, Kunsan National University, 558 Daehak-ro, Gunsan-si 54150, Republic of Korea |
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| Abstract: | This paper is concerned with the problem of exponentially extended dissipative criteria for a class of delayed discrete-time neural networks (DNNs) subject to resilient observer-based controller design. For this objective, a memoryless full-order Luenberger state observer is designed, and further, its observer error system is calculated with resilient control. Initially, some new improved weighted summation inequalities are proposed by combining weighted summation inequality and an extended reciprocal convex matrix inequality. By constructing the suitable Lyapunov-Krasovskii functional (LKF) and utilizing the developed summation inequalities, the exponentially extended dissipative criterion is obtained for the considered delayed DNNs. The designed observer and resilient control gain matrices can be determined by solving a set of linear matrix inequalities (LMIs) subject to the prescribed exponential decay rate. Finally, two numerical examples are carried out to illustrate the feasibility and effectiveness of the established theoretical results obtained through the newly developed summation inequalities. |
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