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In this paper the relaxed stability conditions and the design of stabilization controller for discrete Takagi-Sugeno fuzzy time-delay model are considered through a new approach using specific Lyapunovpsilas functions. Firstly, we give some relaxed sufficient conditions for stability of discrete T-S time-delay model via LMIs. Secondly, we consider the problems of stabilization for such models in two...
This paper focuses the problem of delay-dependent stability criteria for a class of time-varying discrete delay neutral systems with time-varying structured uncertainties. A sufficient condition for discrete delay-dependent and neutral delay-independent stability is derived in the terms of the solutions of linear matrix inequality. The new criteria consider the information contained in the nominal...
The issue of robustly exponential stability for uncertain neutral-type systems is considered in this paper. The uncertainties are nonlinear and the discrete-delay is time-varying. In terms of a linear matrix inequality (LMI), the new sufficient stability condition with delay dependence is presented. The model transformation and bounding techniques for cross terms are avoided based on an integral inequality...
This paper addresses the robust stability analysis of uncertain neutral systems with discrete and distributed delays. An innovative approach is developed for the derivation of delay-dependent stability criteria. Like other methods, the approach reported here also employes the technique of linear matrix inequalities. However, unlike the existing methods that are popularly used in recent publications,...
The problem of stochastic stability and l2 - linfin control for discrete stochastic fuzzy systems with time-delays is considered in this paper. Sufficient conditions are presented in the format of linear matrix inequality. A desired state feedback controller can be designed by solving a set of linear matrix inequalities. At last, the numerical example is given to demonstrate the effectiveness of the...
This paper deals with the stability analysis and the stabilization control law for a class of discrete Takagi-Sugeno (T-S) fuzzy systems with both state and input delays. Based on the nonquadratic Lyapunov function constructed here, the stability analysis and the design way of stabilization control law are derived in the form of linear matrix inequality (LMI) via a nonparallel distributed compensation...
In this paper, the stability problem of perturbed discrete dynamic interval systems with time delay is considered, By using the properties of spectral radius and Lyapunov's stability theory, some sufficient conditions are obtained which guarantee the robust stability of the perturbed discrete-delay dynamic interval systems. These conditions possess simple forms and provide useful tools to check stability...
This paper considers two approaches to stability analysis for 2-D discrete delayed systems in the general model (GM). Again the stability theorems obtained here give sufficient conditions, but they conclude stability theorem for 2-D general model and Fornasini-Marchesini local state-space (FM LSS) model as special cases.
To the networked robot system (NRS) that combines or fuses standard communication protocols, human-machine interfaces and practical robots, we are specifically interested in the approach that incorporates a model of the robot, the state of which is updated with the robot's state. We show that under certain conditions the existence of the solution to the Riccati-like equation and the mean square stability...
The modeling of networked control system is the foundation of the analysis, design, and simulation. In this paper, the main drawbacks of the current literatures related to networked control system are discussed. Meanwhile, a uniform model is developed based on the linear time-invariable plant model, including the situations in which the network-induced delays are shorter or longer than sampling periods...
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