publication . Part of book or chapter of book . 2014

$$H_{\infty }$$ Control

Lixian Zhang; Ting Yang; Peng Shi; Yanzheng Zhu;
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  • Published: 18 Jul 2014
  • Publisher: Springer International Publishing
  • Country: United Kingdom
Abstract
The problem of \(H_{\infty }\) control for a class of Markov jump linear systems (MJLSs) characterized by piecewise-constant transition probabilities (TPs) or transition rates (TRs) is investigated in the chapter. The so-called piecewise-constant TPs or TRs mean that the TPs or TRs are varying but invariant within an interval. The variation of the TPs or TRs considered here is subject to two typical classes of switching signals: (1) nondeterministic variation, i.e., arbitrary switching and slow switching signal where the number of switches in a finite interval is bounded and the average time between two consecutive switchings of transition probability matrices (...
Subjects
free text keywords: T, Applied mathematics, Linear matrix inequality, Nondeterministic algorithm, Bounded function, Markov chain, Invariant (mathematics), Transition rate matrix, Lyapunov function, symbols.namesake, symbols, Matrix (mathematics), Mathematics
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Part of book or chapter of book . 2014
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Part of book or chapter of book . 2014
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