In this paper, we study stability and L2 gain properties for a class of switched systems which are composed of a finite number of linear time-invariant symmetric subsystems. We focus our attention mainly on discrete-time systems. When all subsystems are Schur stable, we show that the switched system is exponentially stable under arbitrary switching. Furthermore, when all subsystems are Schur st...

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...

In this paper we study the question under which conditions a linear multi-modal system is disturbance decoupled. We establish necessary and sufficient geometric conditions from which the existing results on switched linear systems and conewise linear systems can be recovered as special cases. Also, we apply these conditions to a class of linear complementarity systems in order to obtain a more ...

Switched systems are a class of hybrid system consisting of subsystems and a switching law, which define a specific subsystem being activated during a certain interval of time. Many real-world processes and systems can be modeled as switched systems, such as the automobile direction-reverse systems, computer disk systems, multiple work points control systems of airplane and so on. Therefore, th...

Distinguishability takes a crucial rule in studying observability of hybrid system such as switched system. Recently, for two linear systems, Lou and Si gave a condition not only necessary but also sufficient to the distinguishability of linear systems. However, the condition is not easy enough to verify. This paper will give a new equivalent condition which is relatively easy to verify.

In this paper, the performance of a smart antenna system based on a linear array is evaluated. The results presented here include the antenna pattern. This procedure can reduce the interference level in a cellular communications system. Key-words: Smart Antennas, linear array, switched-beam, adaptive array, SDMA.

The purpose of this short note is to establish and explore a link between the problem of stabilizing a linear system using nite-state hybrid output feedback and the problem of nding a stabilizing switching sequence for a switched linear system with unstable individual matrices, each of which separately has recently received attention in the literature.