Abstract
AbstractDue to the engineering practicability of finite-time theory, a great number of research results of finite-time analysis and synthesis have been achieved, especially for Markovian jump systems (MJSs). MJS is a special kind of hybrid system, the particularity of which lies in that although it belongs to a hybrid system, its discrete-event dynamics are random processes that follow Markovian chains. Due to the strong engineering background and practical significance, MJSs can describe most of the industrial processes. This chapter mainly introduces the background and the research status of MJSs (involving linear and nonlinear MJSs, switching MJSs, and non-homogeneous MJSs) and finite-time performance for deterministic systems and stochastic MJSs.
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