Finite-time stabilization of impulsive dynamical linear systems

Author

Amato, F. ; Ambrosino, R. ; Ariola, M. ; Cosentino, C. ; Tommasi, G. De

Author_Institution

Sch. of Comput. Sci. & Biomed. Eng., Univ. degli Studi Magna Graecia di Catanzaro, Catanzaro, Italy

fYear

2008

fDate

9-11 Dec. 2008

Firstpage

2782

Lastpage

2787

Abstract

This paper deals with the finite-time stability problem for a special class of hybrid systems, namely impulsive dynamical linear systems (IDLS). IDLS are systems that exhibit jumps in the state trajectory. Both analysis and design problems are tackled, both for time-dependent and state-dependent IDLS. The presented results require to solve feasibility problems involving Differential Linear Matrix Inequalities (DLMIs), which can be solved numerically in an efficient way, as illustrated by the proposed example.

Keywords

linear matrix inequalities; linear systems; position control; stability; differential linear matrix inequalities; finite-time stabilization; hybrid systems; impulsive dynamical linear systems; state trajectory; Asymptotic stability; Biomedical engineering; Computer science; Control systems; Linear matrix inequalities; Linear systems; Optimal control; State-space methods; Sufficient conditions; Time varying systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2008. CDC 2008. 47th IEEE Conference on

Conference_Location

Cancun

ISSN

0191-2216

Print_ISBN

978-1-4244-3123-6

Electronic_ISBN

0191-2216

Type

conf

DOI

10.1109/CDC.2008.4739276

Filename

4739276