In this paper we consider some stabilization problems for the wave equation with switching time-delay. We prove exponential stability results for appropriate damping coefficients. The proof of the main results is based on D’Alembert formula, observability inequality and some energy estimates. More general problems, like the Petrovsky system, are also discussed.

In this paper we discuss the practical stability of a class of time delay systems with an unstable equilibrium. We obtain sufficient conditions based on Lyapunov-Krasovskii functionals stated in terms of the feasibility of LMI’s. A “Practical” exponential estimate of the solution is also obtained. The result is extended to the practical stabilization and to the case of systems with multiple del...

in this paper, the problems of robust stabilization and$h_{infty}$ control for uncertain stochastic systems withmultiple time delays represented by the takagi-sugeno (t-s) fuzzymodel have been studied. by constructing a new lyapunov-krasovskiifunctional (lkf) and using the bounding techniques, sufficientconditions for the delay-dependent robust stabilization and $h_{infty}$ control scheme are p...

In this paper we consider a boundary stabilization problem for the wave equation with interior delay. We prove an exponential stability result under some Lions geometric condition. The proof of the main result is based on an identity with multipliers that allows to obtain a uniform decay estimate for a suitable Lyapunov functional. Mathematics Subject Classification (2000): 35B05, 93D15, 93D20

861 structure, the behavior of the curve is extremely complicated. The numbers written inside each region indicate the respective number of RHP roots. The shaded region indicates the set of controller parameters that stabilizes the given plant (i.e., number of RHP roots = 0). Fig. 3 depicts the three dimensional stability region in the controller parameter space. The two-dimensional sections of...

This paper deals with the solution bounds for time-delay systems via delay-dependent Lyapunov– Krasovskiimethods. Solution bounds arewidely used for systemswith input saturation caused by actuator saturation or by the quantizers with saturation.We show that an additional bound for solutions is needed for the first time-interval, where t < τ(t), both in the continuous and in the discrete time. T...

Decentralized delay-dependent local stability and resilient feedback stabilization methods are developed for a class of linear interconnected continuous-time systems. The subsystems are time-delay plants which are subjected to convex-bounded parametric uncertainties and additive feedback gain perturbations while allowing time-varying delays to occur within the local subsystems and across the in...

Abstract – This paper presents new results on delay-dependent global exponential stability for uncertain linear systems with interval time-varying delay. Based on Lyapunov-Krasovskii functional approach, some novel delay-dependent stability criteria are derivedin terms of linear matrix inequalities (LMIs) involving the minimum andmaximum delaybounds. By using delay-partitioning method and the l...

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...