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The global exponential stability of a class of stochastic linear interconnected large-scale systems with time delay was analyzed based on M-matrix theory and box theory, by constructing a vector Lyapunov function. A criterion was concluded for global exponential stability of the systems by analyzing the stability of differential inequalities. It is obtained that a stochastic large-scale system with...
This paper proposes a brand new T-S fuzzy model-based approach to achieve synchronization and desynchronization of coupled dynamical systems. The T-S fuzzy models are given to exactly represent the coupled dynamical systems. We analyze the overall fuzzy synchronization and desynchronization system by applying Lyapunov theory and derive stability conditions by solving linear matrix inequalities (LMI)...
Fuzzy cognitive maps (FCM) have been introduced by Kosko to model complex behavioral systems in various scientific areas. One issue that has not been adequately studied so far is the conditions under which they reach a certain equilibrium point after an initial perturbation. This is equivalent to studying the existence and uniqueness of solutions for their concept values. In this paper, we study the...
In this paper, by using the various types of Lyapunov functionals and the property of Lyapunov matrix equation as well as the property of Riccati matrix equation, criteria are established for decentralized stabilization of multidelay stochastic large scale systems using local state feedback. The stability of the closed-loop stochastic large scale systems is independent of delay and robust for the...
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