Almost Sure Stabilization of Uncertain Continuous-Time Markov Jump Linear Systems
Almost Sure Stabilization of Uncertain Continuous-Time Markov Jump Linear Systems
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DOI：
10.1109/tac.2009.2033844
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发表时间：
2010
影响因子：
6.8
通讯作者：
M. Tanelli;B. Picasso;P. Bolzern;P. Colaneri
中科院分区：
文献类型：
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作者：
M. Tanelli;B. Picasso;P. Bolzern;P. Colaneri
这项工作涉及连续时间马尔可夫跳跃线性系统（MJLS）的强大肯定（AS）稳定问题。考虑了影响系统状态和输入矩阵的规范不确定性。确定性测试的足够鲁棒条件，因为提供了稳定性，依赖于系统过渡矩阵的2个字符的结合。这种条件也可以用于设计强大的反馈稳定策略。这种反馈设计基于对等效LMI问题的足够稳定性的足够条件的表述。
This work deals with the robust almost sure (AS) stabilization problem for continuous-time Markov jump linear systems (MJLS). Norm-bounded uncertainties affecting the system state and input matrices are considered. A deterministically testable sufficient condition for robust AS stability is provided which relies on a bound on the 2-norm of the system transition matrix. Such a condition can be profitably employed also to design a robust feedback stabilization strategy. Such feedback design is based on a formulation of the sufficient condition for robust AS stability in terms of an equivalent LMI problem.