Title
Stabilization and control Lyapunov functions for language constrained discrete-time switched linear systems
Abstract
In this paper, the stabilizability of discrete-time switched linear systems subject to constraints on the switching law is considered. The admissible switching sequences are given by the language generated by a nondeterministic finite state automaton. Constructive necessary and sufficient conditions for recurrent stabilizability are given and the exact relations with the existence of control Lyapunov functions and with general stabilizability are provided. The dependence of stabilizability on the automaton initial state is also proved.
Year
DOI
Venue
2018
10.1016/j.automatica.2018.03.039
Automatica
Keywords
Field
DocType
Switched linear systems,Set-theory,Stabilizability,Automata
Set theory,Lyapunov function,Nondeterministic algorithm,Linear system,Control theory,Constructive,Automaton,Finite-state machine,Discrete time and continuous time,Mathematics
Journal
Volume
Issue
ISSN
93
1
0005-1098
Citations 
PageRank 
References 
3
0.49
10
Authors
3
Name
Order
Citations
PageRank
Mirko Fiacchini114521.22
Marc Jungers216322.01
Antoine Girard31937117.56