The discrete-time uncertain system with time delay is investigated for bounded input bounded output (BIBO). By constructing an augmented Lyapunov function, three different sufficient conditions are established for BIBO stabilization. These conditions are expressed in the form of linear matrix inequalities (LMIs), whose feasibility can be easily checked by using Matlab LMI Toolbox. Two numerical...

this paper deals with the problem of the state estimation of discrete time nonlinear systems described by Takagi-Sugeno structure where the premise variables are not measurable. The proposed observer design method is based on the use of the second method of Lyapunov and a quadratic function. Based on this procedure two methods are proposed. The convergence conditions of the observer are express...

This paper deals with the stability analysis and anti-windup design of discrete-time systems subject to actuator saturation. We present a new saturationdependent Lyapunov function to estimate the domain of attraction, which is then formulated and solved as a constrained LMI optimization problem. Further we propose an anti-windup compensation method to enlarge the domain of attraction in the pre...

Abstract: This paper considers local stability analysis of discrete-time Takagi-Sugeno fuzzy systems, for which classically in the TS literature only global stability is considered. Using a common quadratic and nonquadratic Lyapunov function, respectively, LMI conditions are developed to establish local stability of an equilibrium point. An estimate of the region of attraction of this point is ...

This paper considers the dynamic output feedback controller design problem for decentralized guaranteed cost stabilization (GCS) of large-scale systems with time delays in subsystem interconnections. Based on the Lyapunov method, a linear matrix inequality (LMI) convex optimization problem is formulated to find the controller which guarantees the asymptotic stability and minimizes the upper bou...

In this paper, we consider the problem for singular systems with state delay. We mainly focus on the problems of absolute delay-dependent stability using the Lyapunov function method and give sufficient conditions in terms of linear matrix inequality (LMI). A numerical example is given to illustrate the application of the proposed method. References [1] Izumi Masubuchi, ∞ H control for descript...

In this paper, we propose a design method for guaranteed cost controllers for uncertain large-scale systems with time-delays in subsystem interconnections using delayed feedback. Based on the Lyapunov method, an LMI (Linear Matrix Inequality) optimization problem is formulated to design the delayed feedback controller which minimizes the upper bound of a given quadratic cost function. A numeric...

Abstract— In this paper we study the problem of H∞ control of linear parameter-varying (LPV) discrete-time systems with delays. In an LPV system, the state-space matrices are a function of time-varying parameters which are assumed to be real-time measurable. We utilize a parameter-dependent Lyapunov function to establish a delay-dependent H∞ performance condition for the LPV system with unknown...

in this paper, we investigate the delay-dependent robust stability of fuzzy cohen-grossberg neural networks with markovian jumping parameter and mixed time varying delays by delay decomposition method. a new lyapunov-krasovskii functional (lkf) is constructed by nonuniformly dividing discrete delay interval into multiple subinterval, and choosing proper functionals with different weighting matr...

In this paper, the problem of exponential stability of uncertain cellular neural networks with discrete and distribute time-varying delays is considered. Based on the Lyapunov function method and convex optimization approach, a new delay-dependent stability criterion with an exponential convergence rate is derived in terms of LMI (linear matrix inequality). Three numerical examples are given to...