Title :
Sensitivity analysis of the discrete generalized Lyapunov equation
Author :
Aripirala, R. ; Syrmos, Vassilis L. ; Misra, P.
Author_Institution :
Nat. Sci. Found., Washington, DC, USA
Abstract :
Studies the sensitivity of Lyapunov equations which are encountered in generalized state-space systems of the form Eχ(κ+1)=Aχ(κ), where E is nonsingular, and the system stable. The authors treat this problem and show that the results of the generalized continuous-time case extend to the discrete-time case. Furthermore, the authors derive bounds on the perturbations in the system so that the perturbed system is stable
Keywords :
Lyapunov methods; discrete time systems; linear systems; sensitivity analysis; discrete generalized Lyapunov equation; discrete-time system; generalized continuous-time system; generalized state-space systems; perturbation bounds; perturbed system; sensitivity analysis; Contracts; Damping; Equations; Sensitivity analysis; State-space methods; Tiles; Tires;
Conference_Titel :
Decision and Control, 1994., Proceedings of the 33rd IEEE Conference on
Conference_Location :
Lake Buena Vista, FL
Print_ISBN :
0-7803-1968-0
DOI :
10.1109/CDC.1994.411051
