DocumentCode
3580139
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
fYear
2014
Firstpage
1257
Lastpage
1260
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;
fLanguage
English
Publisher
ieee
Conference_Titel
Control Automation Robotics & Vision (ICARCV), 2014 13th International Conference on
Type
conf
DOI
10.1109/ICARCV.2014.7064496
Filename
7064496
Link To Document