Title :
A new approach to estimate stability region of interconnected nonlinear systems via the nonlinear comparison principle
Author :
Fekih-Ahmed, Lazhar ; Chiang, Hsiao-Dong
Author_Institution :
Sch. of Electr. Eng., Cornell Univ., Ithaca, NY, USA
Abstract :
An approach is presented to optimally estimate stability regions of interconnected nonlinear systems via the nonlinear comparison principle. The estimate is optimal in the sense that, for a given Lyapunov function and a given comparison inequality associated with the interconnected system, no better estimate than the one presented can be achieved. This is achieved in three steps. Optimal estimates of stability regions of isolated subsystems are obtained. The exact stability region of the comparison system is established. A constructive methodology is applied to enlarge the estimated stability region of the interconnected system
Keywords :
Lyapunov methods; large-scale systems; nonlinear systems; stability; Lyapunov function; interconnected nonlinear systems; nonlinear comparison principle; optimal estimates; stability region estimation; Couplings; Differential equations; Interconnected systems; Lyapunov method; Nonlinear dynamical systems; Nonlinear systems; Stability criteria; Vectors;
Conference_Titel :
Circuits and Systems, 1990., IEEE International Symposium on
Conference_Location :
New Orleans, LA
DOI :
10.1109/ISCAS.1990.111948
