Input-To-State Stability for a Class of Switched Stochastic Nonlinear Systems by an Improved Average Dwell Time Method
Input-To-State Stability for a Class of Switched Stochastic Nonlinear Systems by an Improved Average Dwell Time Method
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DOI：
10.1155/2014/154679
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发表时间：
2014-04
影响因子：
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通讯作者：
R. Guo;Ping Zhao;Chenghui Zhang
中科院分区：
文献类型：
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作者：
R. Guo;Ping Zhao;Chenghui Zhang
本文用改进的平均驻留时间(ADT)方法研究了切换随机非线性(SSN)系统在两种情况下的输入-状态平均稳定(ISSiM)性质：(I)所有组成子系统都是ISSiM；(Ii)部分组成子系统是ISSiM。首先，介绍了SSN系统稳定性的一种改进的ADT方法。在此基础上，不仅给出了子系统为ISSiM的SSN系统的一个新的ISSiM结果，而且还给出了一个新的
建立了部分子系统为ISSiM的系统的ISSiM结果。与已有的结果相比，本文得到的主要结果具有一定的优越性。最后，通过一个算例进行了数值模拟，验证了所提结果的正确性和有效性。
This paper investigates the input-to-state stable in the mean (ISSiM) property of the switched stochastic nonlinear (SSN) systems with an improved average dwell time (ADT) method in two cases: (i) all of the constituent subsystems are ISSiM and (ii) parts of the constituent subsystems are ISSiM. First, an improved ADT method for stability of SSN systems is introduced. Then, based on that not only a new ISSiM result for SSN systems whose subsystems are ISSiM is presented, but also a new
ISSiM result for such systems in which parts of subsystems are ISSiM is established. In comparison with the existing ones, the main results obtained in this paper have some advantages. Finally, an illustrative example with numerical simulation is verified the correctness and validity of the proposed results.