Unified stability criteria for continuous‐time switched T‐S fuzzy systems

Feedback stabilization of switched linear systems via a parametric approach

“…The stability of system ( 8) is equal to (11). Following from Lemma 1, we want to ensure there exists a V s.t.…”

“…In the past decades, the study of the stability of switched systems has attracted increasing research activities; see the survey papers [7,8] and book [9]. Many stability criteria have been investigated, such as stability conditions for linear discrete-time switched systems in block companion form [10] and for continuous-time switched T-S fuzzy systems [11]. It is well-known that the uniform global exponential stability of a switched system under arbitrary switching is equivalent to the existence of a common Lyapunov function for the component subsystems [12].…”