Abstract

The problems of delay-dependent robustly exponential stability and stabilisation of a class of special neutral systems with interval time-varying delays, and subject to actuator failures, are investigated in this paper. For the special switched system resulting from actuator failures, a class of switching laws incorporating the average dwell time method is proposed. Based on the switching strategy of average dwell time method, delay-dependent sufficient conditions for exponential stability and stabilisation of the special switched systems are established in terms of linear matrix inequalities by choosing appropriate piecewise Lyapunov?Krasovskii functional. Also, the synthesis of stabilising hybrid state-feedback controllers is done such that the closed-loop system is robustly exponentially stable. The effectiveness of the proposed robust control scheme is demonstrated by simulation example.

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