Title :
Liapunov and Riccati equations for practical stability
Author :
Hinrichsen, D. ; Plischke, E. ; Pritchard, A.J.
Author_Institution :
Inst. fur Dynamische Syst., Univ. Bremen, Bremen, Germany
Abstract :
In this note we use Liapunov and Riccati equations to derive bounds for the transient behaviour of a time-invariant linear system. A concept of "acceptable stability behaviour" is introduced and a sufficient condition for achieving it by time-varying linear state feedback is derived. We also briefly discuss the robustness of acceptable stability behaviour and formulate a corresponding robust control problem.
Keywords :
Lyapunov methods; Riccati equations; linear systems; robust control; state feedback; time-varying systems; Liapunov equations; Riccati equations; acceptable stability behaviour; robust control problem; sufficient condition; time-invariant linear system; time-varying linear state feedback; transient behaviour; Asymptotic stability; Eigenvalues and eigenfunctions; Linear systems; Riccati equations; Transient analysis; Transient behaviour; exponential bounds; parameter uncertainty; robust control; robust stability;
Conference_Titel :
Control Conference (ECC), 2001 European
Conference_Location :
Porto
Print_ISBN :
978-3-9524173-6-2
