Title :
Stability of switched linear systems under dwell time switching with piece wise quadratic functions
Author :
Dehghan, Masood ; Ang, Marcelo H.
Author_Institution :
Adv. Robot. Centre, Nat. Univ. of Singapore, Singapore, Singapore
Abstract :
This paper provides sufficient conditions for stability of switched linear systems under dwell-time switching. Piece-wise quadratic functions are utilized to characterize the Lyapunov functions and bilinear matrix inequalities conditions are derived for stability of switched systems. By increasing the number of quadratic functions, a sequence of upper bounds of the minimum dwell time is obtained. Numerical examples suggest that if the number of quadratic functions is sufficiently large, the sequence may converge to the minimum dwell-time.
Keywords :
Lyapunov methods; linear matrix inequalities; linear systems; stability; time-varying systems; Lyapunov functions; bilinear matrix inequalities; dwell time switching; piecewise quadratic functions; stability; sufficient conditions; switched linear systems; Asymptotic stability; Linear systems; Lyapunov methods; Numerical stability; Stability analysis; Switches; Upper bound;
Conference_Titel :
Control Automation Robotics & Vision (ICARCV), 2014 13th International Conference on
DOI :
10.1109/ICARCV.2014.7064496
