Title :
On index sum of completely stable dynamical systems
Author_Institution :
Dept. of Autom., Xiamen Univ., China
fDate :
11/1/2002 12:00:00 AM
Abstract :
In this brief, we present a fundamental formula for index sum of equilibrium points of completely stable autonomous dynamical systems, concerning a connection between equilibrium points, and from which one can know the upper bound for the number of stable equilibrium points of a completely stable system.
Keywords :
Lyapunov methods; asymptotic stability; autonomous dynamical systems; completely stable dynamical systems; equilibrium points; index sum; upper bound; Asymptotic stability; Automation; Cellular neural networks; Circuits; Cities and towns; Differential equations; Hopfield neural networks; Neural networks; Sufficient conditions; Upper bound;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
DOI :
10.1109/TCSI.2002.804742
