NEW RESULTS ON FINITE-TIME GUARANTEED COST CONTROL OF UNCERTAIN NONLINEAR FRACTIONAL-ORDER NEURAL NETWORKS WITH TIME-VARYING DELAY

Dang Thi Hoi; Nguyen Thi Thu Hang; Le Hai Kien; Tran Ngoc Tuan

Dang Thi Hoi Hung Yen University of Technology and Education
Nguyen Thi Thu Hang Hung Yen University of Technology and Education
Le Hai Kien Hung Yen University of Technology and Education
Tran Ngoc Tuan Hung Yen University of Technology and Education

Keywords: finite-time stability, guaranteed cost control, linear matrix inequalities, uncertain fractionalorder systems, time-varying delays

Abstract

In this paper, we study the problem of guarantees cost control with finite-time for a class of uncertain fractional-order nonlinear neural netwoks with time-varying delay. A quadratic cost function is considered as a performance measure for the closed-loop system. By using linear matrix inequalities (LMIs) and the Laplace transform, several new sufficient conditions are proposed for designing a state feedback controller to ensure that the closed-loop system is finite-time stable and meets the desired performance cost level

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