A semilinear one-dimensional convection-diffusion equation with distributed control, coupled to the Dirichlet or to the mixed boundary conditions, is considered. A sampled-data controller design is developed, where the sampled-data (in time) measurements of the state are taken in a finite number of fixed sampling points in the spatial domain. Sufficient conditions for the exponential convergenc...

This paper considers the problem of designing robust H∞ controllers for for HIV/AIDS infection system. The Takagi-Sugeno (TS) fuzzy model is adopted for fuzzy modelling of the HIV infection dynamic systems. A sufficient condition of the controller for this system is given in term of Linear Matrix Inequalities (LMIs). The effectiveness of the proposed controller design methodology is finally dem...

This paper examines a passivity analysis for a class of discrete-time recurrent neural networks DRNNs with norm-bounded time-varying parameter uncertainties and interval time-varying delay. The activation functions are assumed to be globally Lipschitz continuous. Based on an appropriate type of Lyapunov functional, sufficient passivity conditions for the DRNNs are derived in terms of a family o...

This paper is concerned with the problem of μ-stability of impulsive neural systems with unbounded time-varying delays and continuously distributed delays. Some μ-stability criteria are derived by using the Lyapunov-Krasovskii functional method. Those criteria are expressed in the form of linear matrix inequalities LMIs , and they can easily be checked. A numerical example is provided to demons...

This paper considers the robust stability analysis problem for a class of uncertain stochastic neural networks with time-varying delay. Based on the Lyapunov functional method, and by resorting to the new technique for estimating the upper bound of the stochastic derivative of Lyapunov functionals, the novel asymptotic stability criteria are obatined in terms of Linear matrix inequalities (LMIs...

This paper investigates the problem of robust fault detection for discretetime switched systems with state delays. The objective is to design a robust fault detection filter that guarantees both sensitivity to faults and robustness to disturbances. Based on switched Lyapunov functional method, sufficient conditions for the existence of the above filters are given in terms of linear matrix inequ...

This paper focuses on the stabilization problem of neutral systems in the presence of control saturation. Based on a descriptor approach and the use of a modified sector condition, global and local stabilization conditions are derived using Lyapunov-Krasovskii functionals. These conditions allow to consider systems presenting time-varying delays and are formulated directly as linear matrix ineq...

In this paper, stability analysis of the PDCbased Takagi-Sugeno (T-S) fuzzy impulsive control systems by using the extended Lyapunov stability theory is investigated. Some sufficient conditions and criterions are derived for stability of T-S fuzzy impulsive control system in terms of linear matrix inequalities (LMIs). Finally, control schemes are successfully applied to stabilize a predator-pre...

In this paper, a new approach for the stability analysis of continuous-time Takagi–Sugeno (T-S) fuzzy system is proposed. The universe set is divided to subregions, and piecewise quadratic Lyapunov function is then found for each of them. This class of Lyapunov function candidates is much richer than the common quadratic Lyapunov function. By exploiting the piecewise continuous Lyapunov functio...

In this paper, the problem of stability for networked control systems (NCSs) is investigated. Considering both the time-varying network-induced delay and data packet dropouts, NCSs are transformed into typical linear systems with interval time-varying delay. Based on the obtained model, a new delay-dependent stability criteria in terms of linear matrix inequalities (LMIs) is provided by constru...