Disordered stabilization of stochastic delay systems: The disorder-dependent approach
| Autor: | Guoliang Wang, Hongyang Cai |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
0209 industrial biotechnology
Article Subject General Mathematics lcsh:Mathematics General Engineering Markov process 02 engineering and technology Transition rate matrix lcsh:QA1-939 Condensed Matter::Disordered Systems and Neural Networks symbols.namesake 020901 industrial engineering & automation Lyapunov functional lcsh:TA1-2040 Control theory Robustness (computer science) 0202 electrical engineering electronic engineering information engineering symbols Probability distribution Stabilizing controller Symmetric matrix 020201 artificial intelligence & image processing lcsh:Engineering (General). Civil engineering (General) Mathematics |
| Zdroj: | Mathematical Problems in Engineering, Vol 2017 (2017) |
| DOI: | 10.1109/ccdc.2017.7979166 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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