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International Journal Of Chemistry, Mathematics And Physics(IJCMP)

The Bound of Reachable Sets Estimation for Neutral Markovian Jump Systems with Disturbances

Changchun Shen , Guanke Ma , Jinlin Yang

International Journal of Chemistry, Mathematics And Physics(IJCMP), Vol-4,Issue-3, May - June 2020, Pages 57-64 , 10.22161/ijcmp.4.3.4

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The problem of finding an bound of reachable sets for neutral markovian jump systems with bounded peak disturbances is studied in this paper. Up to now, the result related to the bound of reachable sets was rarely proposed for neutral markovian jump systems. Based on the modified Lyapunov-Krasovskii type functional and linear matrix inequality technology, we obtain some delay-dependent results expressed in the form of matrix inequalities containing only one non-convex scalar. Numerical examples are given to illustrate our theoretical results.

Reachable set, linear neutral system, Lyapunov-Krasovskii, Linear matrix inequalities.

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