DocumentCode :
2822745
Title :
Stability and controllability of planar, conewise linear systems
Author :
Arapostathis, Ari ; Broucke, Mireille E.
Author_Institution :
Univ. of Texas, Austin
fYear :
2007
fDate :
12-14 Dec. 2007
Firstpage :
6268
Lastpage :
6273
Abstract :
This paper presents a fairly complete treatment of stability and controllability of piecewise-linear systems defined on a conic partition of R2. This includes necessary and sufficient conditions for stability and controllability, as well as establishing that controllability implies stabilizability by piecewise-linear state feedback. A key tool in the approach is the study of the Poincare map.
Keywords :
Poincare mapping; controllability; eigenvalues and eigenfunctions; linear systems; piecewise linear techniques; stability; state feedback; Poincare map; algebraic expressions; conic partition; controllability; eigenvalues; piecewise-linear state feedback; planar conewise linear systems; stability; Control systems; Controllability; Linear systems; Piecewise linear techniques; Stability; State feedback; Sufficient conditions; Trajectory; Transmission line matrix methods; USA Councils;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Decision and Control, 2007 46th IEEE Conference on
Conference_Location :
New Orleans, LA
ISSN :
0191-2216
Print_ISBN :
978-1-4244-1497-0
Electronic_ISBN :
0191-2216
Type :
conf
DOI :
10.1109/CDC.2007.4434511
Filename :
4434511
Link To Document :
https://search.ricest.ac.ir/dl/search/defaultta.aspx?DTC=49&DC=2822745
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