This paper focuses on the problem of Guaranteed cost control of uncertain T-S fuzzy systems. Based on observer design, the guaranteed cost output feedback control law which guarantees that the closed-loop uncertain T-S fuzzy system is robustly asymptotically stable is proposed. By utilizing the Lyapunov function together with the linear matrix inequality (LMI) approach and free weighting matrix...

In this paper, the robust exponential stability problem of discrete-time uncertain stochastic neural networks with timevarying delays is investigated. By introducing a new augmented Lyapunov function, some delay-dependent stable results are obtained in terms of linear matrix inequality (LMI) technique. Compared with some existing results in the literature, the conservatism of the new criteria i...

In this paper, a novel robust delay-dependent guaranteed cost controller is introduced for a class of uncertain nonlinear neutral systems with both norm-bounded uncertainties and nonlinear parameter perturbations. A neutral memory state-feedback control law is chosen such that a quadratic cost function is minimized. On the basis of a descriptor type model transformation, an augmented descriptor...

The disturbance attenuation problem for a class of discretetime switched linear systems with exponential uncertainties via switched state feedback and switched dynamic output feedback is investigated, respectively. By using Taylor series approximation and convex polytope technique, exponentially uncertain discrete-time switched linear system is transformed into an equivalent switched polytopic ...

In this paper, we show a method of estimating l∞-norm of an output signal of discrete-time feedback systems with saturation nonlinearities. The analysis condition for estimating l∞-norm is derived based on the parameter dependent Lyapunov function (PDLF) and is reduced to a condition based on the linear matrix inequality (LMI) representation. Further, we show that the condition is guaranteed to...

the modeling investigation in this paper discusses the system level effects of a toxicant on a three species food chain system. in the models, we have assumed that the presence of top predator reduces the predatory ability of the intermediate predator. the stability analysis of the models is carried out and the sufficient conditions for the existence and extinction of the populations under the ...

In this paper, we used Lyapunov theory and Linear Matrix Inequalities (LMI) to design a generalized observer by adding more complexity in the output of dynamic systems. Our designed is based on optimization problem, minimizing error between trajectories master slave systems subject incremental quadratic constraint. Moreover, an algorithm given our paper demonstrate method for obtaining desired ...

This paper addresses the problem of determining the H∞ and H2 norms of 2D mixed continuous-discrete-time systems. The first contribution is to propose a novel approach based on the use of complex Lyapunov functions with even rational parametric dependence, which searches for upper bounds on the sought norms via linear matrix inequalities (LMIs). The second contribution is to show that the upper...

the modeling investigation in this paper discusses the system level effects of a toxicant on a three species food chain system. in the models, we have assumed that the presence of top predator reduces the predatory ability of the intermediate predator. the stability analysis of the models is carried out and the sufficient conditions for the existence and extinction of the populations under the ...