In this paper, we consider quadratic stabilizability via state feedback for both continuous-time and discrete-time switched linear systems that are composed of polytopic uncertain subsystems. By state feedback, we mean that the switchings among subsystems are dependent on system states. For continuous-time switched linear systems, we show that if there exists a common positive definite matrix f...

This paper deals with the covariance control for discrete-time linear switched systems affected by additive stochastic noises. Given any periodic stabilizing switching law deterministic system associated to one, a finite set of matrices is characterized that an attractor state matrix sequence. Moreover, upper and lower bounds on are determined trajectories one-dimensional systems.

the problem of pole assignment, also known as an eigenvalue assignment, in linear discrete-time periodic systems in discs was solved by a novel method which employs elementary similarity operations. the former methods tried to assign the points inside the unit circle while preserving the stability of the discrete time periodic system. nevertheless, now we can obtain the location of eigenvalues ...