Abstract

This paper is concerned with the finite-time control problem of continuous-time linear system that posses randomly jumping parameters which can be described by finite-state Markov processes. The main results provided are sufficient conditions for mean square finite-time stability (MSFTS) and mean square finite-time boundedness (MSFTB) via state feedback. Such sufficient conditions can be turned into feasibility problems involving LMIs. A detailed example is presented to illustrate the proposed methodology.

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