Title :
Recent results on Lyapunov-theoretic techniques for nonlinear stability
Author :
Lin, Yuandan ; Sontag, Eduardo ; Wang, Yuan
Author_Institution :
Dept. of Math., Florida Atlantic Univ., Boca Raton, FL, USA
fDate :
29 June-1 July 1994
Abstract :
Establishes a converse Lyapunov function theorem useful for studying stability of systems with disturbances. The result applies to global stability with respect to closed, not necessarily compact, invariant sets, and the resulting Lyapunov functions are smooth.
Keywords :
Lyapunov methods; asymptotic stability; nonlinear control systems; Lyapunov-theoretic techniques; closed invariant sets; converse Lyapunov function theorem; disturbances; global stability; nonlinear stability; smooth functions; Asymptotic stability; Differential equations; Feedback control; Lyapunov method; Mathematics;
Conference_Titel :
American Control Conference, 1994
Print_ISBN :
0-7803-1783-1
DOI :
10.1109/ACC.1994.752377
