Title :
Lower semicontinuous Lyapunov functions and subdifferential calculus
Author_Institution :
Dept. of Math. & Stat., Western Michigan Univ., Kalamazoo, MI, USA
Abstract :
We show that lower semicontinuous Lyapunov functions can be used to determine both stable and attractive sets of differential equations with a short proof similar to that of the original Lyapunov indirect method. Several examples illustrate the flexibility of using such lower semicontinuous Lyapunov functions.
Keywords :
Lyapunov methods; differential equations; set theory; stability; Cantor ternary set; differential equations; lower semicontinuous Lyapunov functions; stability; subdifferential calculus; Calculus; Control systems; Differential equations; Feedback; Lyapunov method; Stability analysis; Statistics; USA Councils;
Conference_Titel :
Decision and Control, 2002, Proceedings of the 41st IEEE Conference on
Print_ISBN :
0-7803-7516-5
DOI :
10.1109/CDC.2002.1184589
