Stability Analysis of Stochastic Interconnected Systems by Vector Lyapunov Function Method

In this paper, the interconnecting structure between a certain system and its lower order subsystems within the infinite‐dimension stochastic interconnected systems is analyzed. Assuming that the excitations are parametric white noises, the exponential string stability for a few classes of nonlinear...

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Bibliographic Details
Published in:Asian journal of control 2015-09, Vol.17 (5), p.1789-1797
Main Authors: Shi, Jizhong, Zhang, Jiye, Xu, Xiaohui, Yu, Xuecai
Format: Article
Language:English
Subjects:
Control systems
Cybersecurity
exponential string stability
infinite-dimension
Ito equation
Queuing theory
stochastic interconnected systems
Systems stability
vehicle-following systems
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Summary:In this paper, the interconnecting structure between a certain system and its lower order subsystems within the infinite‐dimension stochastic interconnected systems is analyzed. Assuming that the excitations are parametric white noises, the exponential string stability for a few classes of nonlinear stochastic interconnected systems is discussed. By using the vector Lyapunov function method, the sufficient conditions of exponential string stability are derived, expanding the scope of the parameters for systems stability. Moreover, some cases of exponential string stability for vehicle‐following systems in automated highway systems are specified. Finally, an example is shown to illustrate the proposed method.
ISSN:1561-8625
1934-6093
DOI:10.1002/asjc.1105