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Brief Paper: Improved exponential stability criteria and stabilisation of T-S model-based neutral systems

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2 Author(s)
Zhou, S. ; Dept. of Autom., Hangzhou Dianzi Univ., Hangzhou, China ; Zhou, L.

This study deals with the β-exponential stability and stabilisation problems for a class of T-S model-based neutral systems. To solve these problems, new LyapunovβKrasovskii functional candidates for this class of systems can be chosen by using the delay-decomposition approach and introducing some exponential functions into corresponding integrands. β-exponential stability conditions of the TβS model-based neutral systems are established by using the LyapunovβKrasovskii functional and a modification integral inequality. An LMI-based state feedback controller design strategy for this class of systems is proposed based on one of the β-exponential stability conditions. Two numerical examples are also provided to illustrate the effectiveness of the proposed approach.

Published in:

Control Theory & Applications, IET  (Volume:4 ,  Issue: 12 )