Title :
Construction of Lyapunov functions for a class of nonlinear dynamical systems
Author :
Ohta, Y. ; Gong, L. ; Imanishi, H. ; Haneda, H.
Author_Institution :
Dept. of Electron. Eng., Kobe Univ., Japan
Abstract :
A problem of constructing Lyapunov functions for nonlinear dynamical systems is considered. A method to construct the Lyapunov function via the construction of a polytope is proposed. The requirement that the polytope be balanced, which was assumed in previous analyses, is removed. This improvement reduces the conservatism in the stability analysis of nonlinear systems. An algorithm to construct a polytope is proposed. The authors give an example to demonstrate the usefulness of the result
Keywords :
Lyapunov methods; nonlinear systems; stability; Lyapunov functions construction; nonlinear dynamical systems; polytope construction; stability analysis; Joining processes; Linear systems; Lyapunov method; Nonlinear dynamical systems; Nonlinear systems; Stability analysis; Stability criteria;
Conference_Titel :
Circuits and Systems, 1991., IEEE International Sympoisum on
Print_ISBN :
0-7803-0050-5
DOI :
10.1109/ISCAS.1991.176502
