Title :
A comment on the method of the closest unstable equilibrium point in nonlinear stability analysis
Author :
Noldus, E. ; Loccufier, M.
Author_Institution :
Dept. of Control Eng. & Autom., Ghent Univ., Belgium
fDate :
3/1/1995 12:00:00 AM
Abstract :
A counterexample is presented to a theorem which has been proposed as a theoretical basis for the method of the closest unstable equilibrium point to estimate asymptotic stability regions in nonlinear systems. An additional condition is formulated under which the theorem is valid. Its implications on the applicability of the method are discussed
Keywords :
asymptotic stability; nonlinear control systems; nonlinear dynamical systems; asymptotic stability regions; closest unstable equilibrium point; nonlinear stability analysis; nonlinear systems; Asymptotic stability; Automatic control; Level set; Lyapunov method; Nonlinear dynamical systems; Nonlinear systems; Power system stability; Power system transients; Stability analysis; Sufficient conditions;
Journal_Title :
Automatic Control, IEEE Transactions on
