In this paper, the concepts of input/output-to-state stability (IOSS) and state-norm estimators are considered for switched nonlinear systems under average dwell-time switching signals. We show that when the average dwell-time is large enough, a switched system is IOSS if all of its constituent subsystems are IOSS. Moreover, under the same conditions, a non-switched state-norm estimator exists ...

This paper is a presentation of symbolic analysis of switched currents (SI) circuits by software for analysis of switched capacitors (SC) circuits – SCSYRUP. It is a special library of functions for MAPLE software which allows the symbolic analysis of switched circuits. An example of an SI circuit analysis by means of this library is presented in this paper.

This paper is concerned with the quadratic stabilization for a class of switched nonlinear singular systems. For this class of switched systems, when each individual subsystem fails to be minimum-phase, the quadratic stabilization problem is solved via designing switching law. This extends available results for non-switched nonlinear singular systems.

We consider a number of questions pertaining to the stability of positive switched linear systems. Recent results on common quadratic, diagonal, and copositive Lyapunov function existence are reviewed and their connection to the stability properties of switched positive linear systems is highlighted. We also generalise the concept of D-stability to positive switched linear systems and present s...

In this paper, we study the stability of a wide class of switched systems using stability preserving mappings. By considering an existing result and extending it to a general class of switched systems, we show that stability preserving mappings constitute an important and practical tool in stability analysis and design of switched systems.

Abstract: A stability analysis is carried out for certain classes of switched linear systems with tridiagonal structure, under arbitrary switching signal. This analysis is made using diagonal common quadratic Lyapunov functions. Namely, necessary and sufficient conditions for the existence of such Lyapunov functions are proposed for second order switched systems and for third order switched sys...

One new criterion of delay-independent stability for the switched time-delay large-scale system is deduced by employing a time-switched method and the comparison theorem. The total activation time ratio of the switching law can be determined to guarantee that the switched time-delay system is exponentially stable with stability margin l. One example is exploited to illustrate the proposed schemes.