On robust stability of switched linear systems

Time: 09:00 to  11:00 Ngày 01/07/2020

Venue/Location: C101, VIASM

Speaker: Lê Văn Ngọc


 In this report, we study the robust stability of continuous-time switched linear systems under the assumption that the matrices of the associated linear subsystems are subjected to affine perturbations. The notion of structured stability radius of a switched linear system which is asymptotically exponentially stable w.r.t. arbitrary switchings is introduced. Some lower bounds and upper bounds for estimating this radius are established, by using the system's common quadratic Lyapunov functions and via an approach based on solutions comparison principle. Several examples are provided to illustrate our approach.