Title :
Basic problems in stability and design of switched systems
Author :
Liberzon, Daniel ; Morse, A. Stephen
Author_Institution :
Dept. of Electr. Eng., Yale Univ., New Haven, CT, USA
fDate :
10/1/1999 12:00:00 AM
Abstract :
By a switched system, we mean a hybrid dynamical system consisting of a family of continuous-time subsystems and a rule that orchestrates the switching between them. The article surveys developments in three basic problems regarding stability and design of switched systems. These problems are: stability for arbitrary switching sequences, stability for certain useful classes of switching sequences, and construction of stabilizing switching sequences. We also provide motivation for studying these problems by discussing how they arise in connection with various questions of interest in control theory and applications
Keywords :
asymptotic stability; continuous time systems; control system synthesis; stability; arbitrary switching sequences; continuous-time subsystems; hybrid dynamical system; stabilizing switching sequences; switched systems; Adaptive control; Air traffic control; Control systems; Control theory; Feedback control; Mechanical systems; Programmable control; Stability; Switched systems; Transient response;
Journal_Title :
Control Systems, IEEE