DocumentCode
2613321
Title
Quadratic Lyapunov functions for linear control systems with delays
Author
Barabanov, Nikita E.
Author_Institution
Dept. of Mathematics, North Dakota State Univ., Fargo, ND, USA
Volume
6
fYear
2003
fDate
9-12 Dec. 2003
Firstpage
5573
Abstract
Necessary and sufficient conditions for stability, solvability of LQ and H∞ problems for linear time-invariant systems with mixed discrete/distributed delays are derived in this paper. The conditions are natural analogue of Lyapunov and Riccati equations for systems without delays.
Keywords
H∞ control; Lyapunov methods; Riccati equations; delays; discrete systems; linear quadratic control; linear systems; stability; H∞ control problems; LQ problem; Riccati equations; distributed delays; linear control systems; linear time-invariant systems; mixed discrete systems; quadratic Lyapunov functions; retarded systems; stability; Control systems; Delay systems; Differential equations; Integral equations; Lyapunov method; Mathematics; Neodymium; Riccati equations; Stability criteria; Sufficient conditions;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 2003. Proceedings. 42nd IEEE Conference on
ISSN
0191-2216
Print_ISBN
0-7803-7924-1
Type
conf
DOI
10.1109/CDC.2003.1271889
Filename
1271889
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