Premium
Stability Analysis of Stochastic Interconnected Systems by Vector Lyapunov Function Method
Author(s) -
Shi Jizhong,
Zhang Jiye,
Xu Xiaohui,
Yu Xuecai
Publication year - 2015
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.1105
Subject(s) - lyapunov function , exponential stability , nonlinear system , control theory (sociology) , string (physics) , stability (learning theory) , parametric statistics , dimension (graph theory) , mathematics , exponential function , function (biology) , computer science , mathematical analysis , physics , pure mathematics , statistics , control (management) , quantum mechanics , artificial intelligence , machine learning , evolutionary biology , mathematical physics , biology
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.