1. Disordered Stabilization of Stochastic Delay Systems: The Disorder-Dependent Approach.
- Author
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Wang, Guoliang and Cai, Hongyang
- Subjects
- *
STOCHASTIC systems , *STABILITY theory , *AUTOMATIC control systems , *ROBUST control , *MARKOV processes , *LYAPUNOV functions - Abstract
In this paper, a general stabilization problem of stochastic delay systems is realized by a disordered controller and studied by exploiting the disorder-dependent approach. Different from the traditional results, the stabilizing controller here experiences a disorder between control gains and system states. Firstly, the above disorder is described by the robust method, whose probability distribution is embodied by a Markov process with two modes. Based on this description, a kind of disordered controller having special uncertainties and depending on a Markov process is proposed. Then, by exploiting a disorder-dependent Lyapunov functional, two respective conditions for the existence of such a disordered controller are provided with LMIs. Moreover, the presented results are further extended to a general case that the corresponding transition rate matrix of the disordered controller has uncertainties. Finally, a numerical example is exploited to demonstrate the effectiveness and superiority of the proposed methods. [ABSTRACT FROM AUTHOR]
- Published
- 2017
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