Closed-loop control of nonlinear neural networks: The estimate of control time and energy cost.

Affiliation

School of Mathematics, China University of Mining and Technology, Xuzhou, 221116, China. Electronic address: [Email]

Abstract

This paper concentrates on an estimate of the upper bounds for control time and energy cost of a class of nonlinear neural networks (NNs). By constructing the appropriate closed-loop controller uS and utilizing the inequality technique, sufficient conditions are proposed to guarantee achieving control target in finite time of the considered systems. Then, the estimate of the upper bounds for the control energy cost of the designed controller uS is proposed. Our results provide a new controller which can ensure the realization of finite time control and energy consumption control for a class of nonlinear NNs. Meanwhile, the obtained results contribute to qualitative analysis of some nonlinear systems. Finally, numerical examples are presented to demonstrate the effectiveness of our theoretical results.

Keywords

Closed-loop control,Energy cost,Finite-time,Nonlinear neural networks,

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