The aim of the present paper is to give robust stability based on exponentially stable switched positive linear systems. Our theoretical analysis shows that if there exists a system all subsystems, then lower bound and upper for radius under affine perturbations are established. In particular case two dimensional system, including switching signals, we obtain formula radius. Several examples pr...

Background and aim: It is possible to use light sources suxh as lasers to destruct melanosomes and treat pigmented skin lesions. One of the most commonly used laser systems is Q switched ruby laser with a wave-length of 694 nm. This study was performed to evaluate the efficacy of the Q switched ruby laser in the treatment of pigmented skin lesions including lentigines (simplex or solar) and caf...

In this paper, switched linear discrete-time systems are considered. We propose a method to design an observer-based switched control which guarantees that the switched system is asymptotically stable. The contribution of this paper is twofold. We propose a method to design a switched control which allows to place the poles of each subsystem in desired locations and which guarantee that the swi...

In this paper, the existence of stabilizing sliding motions in the context of switched linear systems is investigated. We consider the case of switched systems with two subsystems and we propose conditions for the existence of stable sliding hyper-planes. For particular cases of switched systems (planar systems, integrator chains), we provide constructive analytical methods for deriving a stabi...

In this paper, a new class of composite systems, called switched composite systems, whose subsystems are switched systems is proposed. This class of systems can be viewed as a natural extension of both composite systems and switched systems. We design decentralized switching laws for this class of systems to be asymptotically stable. For general composite systems, decentralized hybrid state fee...

In this paper we obtain the extension of results on input-to-output stability properties of switched systems to switched systems whose dynamics are described by perturbed forced differential equations and whose outputs are obtained via switched perturbed functions. We also present Lyapunov characterizations of these input-output stability properties, obtained in terms of certain conceptual outp...

In this paper, switched controllers are designed for a class of nonlinear discrete singular systems and a class of discrete singular bilinear systems. An invariant principle is presented for such switched nonlinear singular systems. The invariant principle and the switched controllers are used to globally stabilize a class of singular bilinear systems that are not open-loop stable.