DocumentCode
3524213
Title
Stabilization of bilinear continuous-time systems
Author
Athanasopoulos, Nikolaos ; Bitsoris, George ; Vassilaki, Marina
fYear
2010
fDate
23-25 June 2010
Firstpage
442
Lastpage
447
Abstract
In this paper, the stabilization problem of continuous-time bilinear systems by linear state-feedback control is investigated. First, conditions guaranteeing the positive invariance of polyhedral sets with respect to quadratic autonomous nonlinear systems are established. Then these results are used for the determination of linear state-feedback constrained and unconstrained control laws making a prespecified polyhedral set domain of attraction of the resulting closed-loop system.
Keywords
bilinear systems; closed loop systems; continuous time systems; control system synthesis; state feedback; bilinear continuous time system; closed loop system; linear state feedback constrained control; linear state feedback unconstrained control; polyhedral set; positive invariance; quadratic autonomous nonlinear system; Aerospace electronics; Asymptotic stability; Linear matrix inequalities; Lyapunov method; Mercury (metals); Nonlinear systems; Optimization;
fLanguage
English
Publisher
ieee
Conference_Titel
Control & Automation (MED), 2010 18th Mediterranean Conference on
Conference_Location
Marrakech
Print_ISBN
978-1-4244-8091-3
Type
conf
DOI
10.1109/MED.2010.5547708
Filename
5547708
Link To Document