Almost sure stability of Markov jump linear systems with dwell-time constrained switching dynamics

Almost sure stability of Markov jump linear systems with dwell-time constrained switching dynamics
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DOI：
10.1109/cdc.2011.6160793
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发表时间：
2011-12
期刊：
IEEE Conference on Decision and Control and European Control Conference
影响因子：
--
通讯作者：
P. Bolzern;P. Colaneri;G. Nicolao
P. Bolzern;P. Colaneri;G. Nicolao
中科院分区：
其他
文献类型：
--
作者：
P. Bolzern;P. Colaneri;G. Nicolao

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研究了一类具有常数转移速率和分段常数系统动态特性的马尔可夫跳跃线性系统(MJLS)的稳定性。对于这类切换动力学马尔可夫跳跃线性系统(SD-MJLS)，在满足适当的平均收缩条件的假设下，应用遍历大数定律分析了几乎必然的指数稳定性(ASE-稳定性)。主要结果是在切换时刻之间的驻留时间约束下保证ASE稳定的一个充分条件。
The stability of a class of Markov jump linear systems (MJLS) characterized by constant transition rates and piecewise-constant system dynamics is investigated. For these Switching Dynamics Markov jump linear systems (SD-MJLS), almost sure exponential stability (ASE-stability) is analyzed by applying the ergodic law of large numbers under the assumption that suitable average contractivity conditions are satisfied. The main result is a sufficient condition that guarantees ASE-stability under constraints on the dwell-time between switching instants.