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
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;
Conference_Titel :
Decision and Control, 2003. Proceedings. 42nd IEEE Conference on
Print_ISBN :
0-7803-7924-1
DOI :
10.1109/CDC.2003.1271889
