Stochastic Stability and Stabilization of Singular It O-type Markovian Jump Systems with Uncertain Transition Rates: An LMI Approach
Stochastic Stability and Stabilization of Singular It O-type Markovian Jump Systems with Uncertain Transition Rates: An LMI Approach
复制标题
随机稳定性和具有不确定转移率的奇异 It O 型马尔可夫跳跃系统的稳定性：LMI 方法
DOI：
10.1002/asjc.1621
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发表时间：
2018
影响因子：
2.4
通讯作者：
Kao Yonggui
中科院分区：
文献类型：
--
作者：
Jiang Baoping;Gao Cunchen;Kao Yonggui
本文研究了一类具有马尔可夫切换的Itô型奇异随机系统的随机稳定性和稳定性，跳跃过程中的转移率（TR）是不确定的。目的是建立充分的条件以确保所考虑的系统在均方意义上随机稳定，并通过系统解的存在性和唯一性的详细证明来支持，并提出一个控制器以使系统可以稳定。该控制器是首次提出，与传统控制器相比具有优势，控制器增益矩阵是通过求解严格的线性矩阵不等式（LMI）获得的。最后，提供了一个数值例子来说明所获得方法的有效性。
This paper investigates the stochastic stability and stabilization for a class of singular stochastic systems of Itô‐type with Markovian switching, the transition rates (TRs) in the jumping processes are uncertain. The aims are to establish sufficient conditions to ensure the considered system to be stochastically stable in the mean square sense, which is supported by a detailed proof of existence and uniqueness of the system solution, and to propose a controller such that the system can be stabilizable. The controller is first proposed and has advantage over traditional ones, the controller gain matrices are obtained by solving a strict linear matrix inequality (LMI). Finally, a numerical example is provided to illustrate the validity of the obtained methodology.