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In general, due to the interaction among subsystems, it is difficult to design an H∞ filter for nonlinear interconnected systems. This paper introduces a decentralized H∞ fuzzy filter design for nonlinear interconnected systems with multiple time delays via T-S fuzzy models. The T-S fuzzy model consists of N time-delay T-S fuzzy subsystems. The decentralized H∞ filter is designed based on this model,...
This paper is concerned with stability analysis and H∞ decentralized control of discrete-time nonlinear large-scale systems via fuzzy control approach. Each of them consists J interconnected discrete-time nonlinear subsystems. First, the discrete-time nonlinear large-scale system is represented by an equivalent Takagi-Sugeno discrete-time fuzzy large scale model. Next, based on this fuzzy large-scale...
An impulsive control scheme to stabilize nonlinear delay systems with exponential decay rate is presented in this paper. By utilizing different Lyapunov functions and some inequalities, we establish several theorems on the stability of impulsive delay systems and find novel conditions under which impulsively controlled nonlinear delay systems are globally exponentially stable. Then a novel impulsive...
In this paper, we study the problem of controlling chaos in a memristor-based Chua's circuit, which can be represented as a linear switched system. A linear switched controller is obtained by solving a set of LMIs based on a common Lyapunov function. Finally, a numerical simulation is provided to illustrate the effectiveness of the proposed method.
This paper is an extension for impulsive control of nonlinear systems without time delay. According to impulsive control scheme, we establish impulsive model of nonlinear systems with time-varying delays. By utilizing the methods of Lyapunov functions and impulsive-type comparison principles, we obtain a general conditions under which impulsively controlled nonlinear systems with time-varying delays...
In this paper, we consider impulsive modeling and control of a new chaotic system with time-varying impulse intervals. The new chaotic system is derived from Lorenz system, Chen system and Lu system. By establishing an effective tool of a set of inequalities, we analyze the asymptotic stability of impulsive control the new chaotic system and obtain some new less conservative conditions. Based on the...
The robust stability of Lurpsilae system with time-varying delay and time-varying parametric uncertainties is considered in this letter. The stability condition is given in terms of linear matrix inequality (LMI). Numerical example is given to demonstrate the effectiveness of our theoretical results.
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