Title :
Estimation of the region of attraction by first order approximation
Author :
Pogromsky, A.Yu. ; Nijmeijer, H.
Author_Institution :
Dept. of Electr. Eng., Eindhoven Univ. of Technol., Netherlands
Abstract :
Conditions are given that guarantee the convergence of arbitrary solutions of an autonomous dynamical system towards some equilibrium point of the system. The conditions are formulated in terms of matrix inequalities involving a variational equation. A connection with analytic estimates of the Hausdorff dimension of invariant compact sets is given
Keywords :
closed loop systems; convergence; matrix algebra; nonlinear control systems; stability; variational techniques; Hausdorff dimension; analytic estimates; autonomous dynamical system; equilibrium point; first order approximation; invariant compact sets; matrix inequalities; region of attraction; variational equation; Control theory; Differential equations; Linear matrix inequalities; Lyapunov method; Mechanical engineering; Nonlinear equations; Nonlinear systems; Stability analysis; Symmetric matrices; Volume measurement;
Conference_Titel :
Decision and Control, 2000. Proceedings of the 39th IEEE Conference on
Conference_Location :
Sydney, NSW
Print_ISBN :
0-7803-6638-7
DOI :
10.1109/CDC.2000.912315
