Title :
A result on stability of one-state nonlinear dynamical systems
Author :
Manfredi, Claudia
Author_Institution :
Dept. of Electron. Eng., Florence Univ., Italy
Abstract :
A simple method for determining an estimate of the domain of attraction for the state-space origin is presented for the class of one-state nonlinear dynamical systems. The solution is obtained on the basis of a simple determinantal criterion, which points out when a matrix depending on a parameter loses its definiteness and allows one to derive easily the desired region in the state-space. The proposed method applies to feedback systems with a generic scalar nonlinearity, thus permitting a wide range of applications. The computational complexity is low
Keywords :
computational complexity; feedback; nonlinear control systems; stability; state-space methods; attraction domain estimate; computational complexity; determinantal criterion; feedback systems; generic scalar nonlinearity; matrix definiteness; one-state nonlinear dynamical systems; parameter dependence; stability; state-space origin; state-space region; Eigenvalues and eigenfunctions; Equations; Nonlinear dynamical systems; Stability; Symmetric matrices;
Conference_Titel :
Circuits and Systems, 1989., IEEE International Symposium on
Conference_Location :
Portland, OR
DOI :
10.1109/ISCAS.1989.100426
