Reach Set Boundary Estimation for Neutral Semi-Markov Jump Systems

doi:10.13438/j.cnki.jdzk.2024.05.005

Abstract

Abstract: The reachable set boundary problem for a class of neutral semi-Makov jump systems and uncertain neutral semi-Markov jump systems with distributed delay and bounded perturbation is studied.Considering the influence of neutral delay term,using Lyapunov method,combined with improved integral inequality,free weight matrix idea and delay resolution technique,the boundary of reachable sets for a class of neutral semi-Markov jump systems with distributed delay and bounded perturbation and uncertain neutral semi-Markov jump systems are obtained in the form of linear matrices.

Key words: reachable set estimation, semi-Markov jump system, time delay system, matrix inequality

XU Dingju, SHEN Changchun. Reach Set Boundary Estimation for Neutral Semi-Markov Jump Systems[J]. Journal of Jishou University(Natural Sciences Edition), 2024, 45(5): 33-44.

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