Switched Convergence of Second-Order Switched Homogeneous Systems

Stability Analysis of Second-Order Switched Homogeneous Systems

Stabilization of second-order LTI switched systems

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...

Convergence rate of nonlinear switched systems

This paper is concerned with the convergence rate of the solutions of nonlinear switched systems. We first consider a switched system which is asymptotically stable for a class of inputs but not for all inputs. We show that solutions corresponding to that class of inputs converge arbitrarily slowly to the origin. Then we consider analytic switched systems for which a common weak quadratic Lyapu...

Higher Order Statistics in Switched Diversity Systems

We analyze the level crossing rate (LCR) and the average fade duration of the output signalto-noise-ratio (SNR) in generalized switched diversity systems. By using a common approach, we study these higher order statistics for two different kinds of configurations: (1) Colocated diversity, i.e. receiver equipped with multiple antennas, and (2) Distributed diversity, i.e. relaying link with multi...

Switched State Jump Observers for Switched Systems

In this paper, observers are synthesized for switched linear systems, resulting in switched observers including state jumps. The synthesis problem is formulated as a linear matrix inequality problem. By using multiple Lyapunov functions, a switched state jump observer is designed for a broader class of switched systems than earlier proposed in the literature. Copyright c © 2005 IFAC