This paper investigates the problem of robust stabilization of uncertain discrete-time switched non-linear systems with time delay under asynchronous switching. By using the average dwell time approach and piecewise Lyapunov functional technique, a state feedback controller is developed for the discrete-time switched system under asynchronous switching, and sufficient conditions for the existen...

Consider a continuous-time linear switched system on Rn associated with a compact convex set of matrices. When it is irreducible and its largest Lyapunov exponent is zero there always exists a Barabanov norm associated with the system. This paper deals with two types of issues: (a) properties of Barabanov norms such as uniqueness up to homogeneity and strict convexity; (b) asymptotic behaviour ...

This paper presents a unified approach to formulating stability conditions for slowly time-varying linear systems and switched linear systems. The concept of total variation of a matrix-valued function is introduced to characterize the variation of the system matrix. Using this concept, a result generalizing existing stability conditions for slowly time-varying linear systems is derived. As spe...

The paper deals with the realization theory of linear and bilinear switched systems. Necessary and sufficient conditions are formulated for a family of input-output maps to be realizable by a (bi)linear switched system. Characterization of minimal realizations is presented. The paper treats two types of (bi)linear switched systems. The first one is when all switching sequences are allowed. The ...

This paper studies and solves the problem of asymptotic stabilization of switched systems consisting of unstable secondorder linear time-invariant (LTI) subsystems. Necessary and su cient conditions for asymptotic stabilizability are ® rst obtained. If a switched system is asymptotically stabilizable, then the conic switching laws proposed in the paper are used to construct a switching law tha...

This work deals with state feedback compensation of disturbance inputs in continuous-time switched linear systems, with the requirement that the closed-loop systems be exponentially stable under switching signals with a sufficiently large dwell-time. Constructive conditions for the problem to be solvable are shown, on the assumption that the given switched linear system has zero initial state. ...

esses etc, can be appropriately described by the switched model [3-8]. In this paper, we proposed an innovative representation modeling of the Takagi-Sugeno (T-S) fuzzy switched discrete-time system. The simulation of stability analysis methods based on Lyapunov stability theorem to study the stability and switching law design for the T-S fuzzy switched discrete-time systems. Sufficient conditi...

For switched dynamical systems, switching signals usually undergo perturbations and disturbances due to various reasons. A well-behaved switched system might not work properly when its switching signal is perturbed. In this work, we investigate the switching robustness for a class of switched linear systems. For this, we first define the distance between two switching signals by means of their ...