Title :
Computer generated Lyapunov functions for a class of nonlinear systems
Author :
Ohta, Yuzo ; Imanishi, Hiroshi ; Gong, Lei ; Haneda, Hiromasa
Author_Institution :
Dept. of Electron. Eng., Kobe Univ., Japan
fDate :
5/1/1993 12:00:00 AM
Abstract :
The problem of constructing Lyapunov functions for a class of nonlinear dynamical systems is considered. The problem is reduced to the construction of a polytope satisfying some conditions. A generalization of the concept of sector condition that it makes possible to evaluate a given nonlinear function by using a set of piecewise-linear functions is proposed. This improvement greatly reduces the conservatism in the stability analysis of nonlinear systems. Two algorithms for constructing such polytopes are proposed, and two examples are shown to demonstrate the usefulness of the results
Keywords :
Lyapunov methods; control system analysis computing; nonlinear control systems; piecewise-linear techniques; stability; Lyapunov functions; dynamical systems; nonlinear function; nonlinear systems; piecewise-linear functions; polytope; sector condition; stability analysis; Circuits; Helium; Joining processes; Linear systems; Lyapunov method; Nonlinear dynamical systems; Nonlinear systems; Piecewise linear techniques; Scholarships; Stability analysis;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
