Title :
Uniformly Stabilizing Sets of Switching Sequences for Switched Linear Systems
Author :
Lee, Ji-Woong ; Dullerud, Geir E.
Author_Institution :
Dept. of Electr. & Comput. Eng., Florida Univ., Gainesville, FL
fDate :
5/1/2007 12:00:00 AM
Abstract :
A set of switching sequences of a discrete-time switched linear system is said to be uniformly stabilizing if the system is uniformly exponentially stable over all switching sequences that belong to the set. Based on the recent result that a switched linear system is uniformly stable if and only if an increasing countable union of linear matrix inequality conditions is satisfied, we characterize all uniformly stabilizing sets of switching sequences. A discrete-time hybrid automaton of the automobile engine is considered to illustrate the result
Keywords :
asymptotic stability; discrete time systems; linear matrix inequalities; set theory; time-varying systems; automobile engine; discrete-time hybrid automaton; discrete-time switched linear system; linear matrix inequality conditions; switching sequences; uniform exponential stability; Abstracts; Automata; Automobiles; Control systems; Engines; Linear matrix inequalities; Linear systems; Stability; Switched systems; Time varying systems; Discrete linear inclusions; hybrid automata; linear matrix inequalities (LMIs); uniform exponential stability;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2007.895924
