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This paper investigates the stability of switched linear systems with the perturbed switching. In premises of introducing the notions of common child-path and parent-path, we define distance between switching paths. A constructive procedure is proposed for finding common child-paths, then we reveal a relationship between common child-path and parent-path, and subsequently formulate the distance. Finally,...
This paper investigates stability analysis for linear systems with Markovian jumping parameters and state delays. Based on delay subinterval decomposition approach, a new Lyapunov-Krasovskii functional is proposed to develop the delay-dependent stochastic stability conditions for both nominal and uncertain time-delay Markovian systems. The results are formulated in terms of linear matrix inequalities...
This paper addresses the stability problem of 2D state-delayed systems described by the Fornasini-Marchesini second local state-space and the Roesser models under saturation nonlinearities. In terms of linear matrix inequalities (LMIs), a sufficient condition is derived to ensure the asymptotic stability of the systems. Two numerical examples are given to demonstrate the theoretical results.
This paper investigates the problem of delay dependent robust stability analysis and Hinfin filtering design for a class of uncertain continuous-time nonlinear systems with time-varying state delay represented by T-S fuzzy models. Based on a newly developed Lyapunov-Krasovskii functional combined with an improved free-weighting matrix technique, a new sufficient condition for robust stability analysis...
The problem of stability analysis for two-dimensional (2-D) discrete fuzzy systems is investigated in this paper. The 2-D fuzzy system model is first established based on the Fornasini-Marchesini local state-space (FMLSS) model, and asymptotic stability is derived by means of linear matrix inequality (LMI) technique. The effectiveness of the proposed condition is shown via an example.
In this paper, the problems of passivity analysis and passive control of continuous-time Takagi-Sugeno (T-S) fuzzy time-varying delayed systems are studied. The analysis is based on the concept of very-strict passivity which is shown to be restrictive than the usual passivity. Novel techniques are applied to derive delay-dependent conditions for the solvability of the problem of designing a state-feedback...
A nonlinear multivariable adaptive decoupling PID control strategy based on multiple models and neural network is proposed for a class of uncertain discrete time nonlinear dynamical systems. The adaptive decoupling PID controller is composed of a linear adaptive PID decoupling controller, a neural network nonlinear adaptive PID decoupling controller and a switch mechanism. The PID parameters of such...
In this paper we consider the dynamical stability of a tree-shape networks of Timoshenko beams with time-delay terms in the boundary controls. The time-delay feedback controllers at the exterior vertices are designed to derive the beams back to its equilibrium position. We first get the wellposedness of the closed loop system. Under certain conditions, we show that this system is asymptotically stable...
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