Stability of Switched Linear Systems under Dwell Time Switching with Piece-Wise Quadratic Functions

摘要

This paper provides sufficient conditions for stability of switched linearsystems under dwell-time switching. Piece-wise quadratic functions are utilizedto characterize the Lyapunov functions and bilinear matrix inequalitiesconditions are derived for stability of switched systems. By increasing thenumber of quadratic functions, a sequence of upper bounds of the minimum dwelltime is obtained. Numerical examples suggest that if the number of quadraticfunctions is sufficiently large, the sequence may converge to the minimumdwell-time.