Title :
On global Lyapunov characterization of multi-stable nonlinear systems
Author_Institution :
Dept. of Electr. Eng. & Comput. Sci, Univ. de Liege, Sart-Tilman, Belgium
Abstract :
A new type of global stability is introduced and its equivalent Lyapunov characterization is presented. The problem of global stability of the compact set composed by all invariant solutions of a nonlinear system (several equilibriums, for instance) is analyzed. Consideration of such set allows us to present global stability properties for multi-stable systems.
Keywords :
Lyapunov methods; nonlinear control systems; stability; compact set; equivalent Lyapunov characterization; global Lyapunov characterization; global stability properties; multistable nonlinear systems; multistable systems; Asymptotic stability; Biological system modeling; Cells (biology); Computational biology; Density functional theory; Differential equations; Nonlinear systems; Robust stability; Stability analysis; Systems biology;
Conference_Titel :
Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference. CDC/CCC 2009. Proceedings of the 48th IEEE Conference on
Conference_Location :
Shanghai
Print_ISBN :
978-1-4244-3871-6
Electronic_ISBN :
0191-2216
DOI :
10.1109/CDC.2009.5399944
