Title :
Finite-Time Stability of Linear Time-Varying Systems: Analysis and Controller Design
Author :
Amato, Francesco ; Ariola, Marco ; Cosentino, Carlo
Author_Institution :
Sch. of Comput. & Biomed. Eng., Magna Graecia Univ., Catanzaro, Italy
fDate :
4/1/2010 12:00:00 AM
Abstract :
The note deals with the finite-time analysis and design problems for continuous-time, time-varying linear systems. Necessary and sufficient conditions and a sufficient condition for finite-time stability are devised. Moreover, sufficient conditions for the solvability of both the state and the output feedback problems are stated. Such results require the feasibility of optimization problems involving Differential Linear Matrix Inequalities. Some numerical examples illustrate the effectiveness of the proposed approach.
Keywords :
computability; continuous time systems; control system analysis; control system synthesis; feedback; linear matrix inequalities; linear systems; optimisation; stability; time-varying systems; continuous-time systems; controller design; differential linear matrix inequality; finite-time analysis; finite-time stability; linear time-varying systems; necessary and sufficient conditions; optimization problems; output feedback; solvability; state feedback; time-varying linear systems; Adaptive control; Asymptotic stability; Automatic control; Control system analysis; Control systems; Differential equations; Helium; Linear matrix inequalities; Linear systems; Output feedback; Postal services; Programmable control; Stability analysis; Sufficient conditions; Time varying systems; Dynamic output feedback; finite-time stability; linear time-varying systems;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2010.2041680
