期刊
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
卷 58, 期 1, 页码 209-214出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TAC.2012.2203049
关键词
Almost sure stability; dwell-time; Markov jump systems
资金
- European Commission [FP7-ICT-2009-257005]
The technical note studies a class of linear systems whose piecewise-constant dynamic matrix is subject to both stochastic jumps, governed by a Markov chain, and deterministic switches. These systems will be dubbed switching dynamics Markov jump linear systems (SD-MJLS). Sufficient conditions for exponential almost sure stability (EAS-stability) are established under either hard or average constraints on the dwell-time between switching instants. The proof relies on easy-to-check norm contractivity conditions and the ergodic law of large numbers.
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