Title :
Connections between local stability in Lyapunov and input/output senses
Author_Institution :
Dept. of Chem. Eng., California Univ., Los Angeles, CA, USA
fDate :
12/1/1995 12:00:00 AM
Abstract :
The concept of gain over set was recently introduced as a tool for local input/output analysis of nonlinear systems. In this setting, the finiteness of the gain over set defines a local stability in the input/output sense. In this paper, we show that the finite gain over ball stability is related to the local stability in the sense of Lyapunov
Keywords :
Lyapunov methods; control system analysis; controllability; input-output stability; nonlinear systems; observability; state-space methods; Lyapunov function; ball stability; input/output analysis; local stability; nonlinear systems; observability; reachability; state space; Artificial intelligence; Automatic control; Control systems; Control theory; Hydrogen; Linear systems; Lyapunov method; Nonlinear systems; Optimal control; Stability;
Journal_Title :
Automatic Control, IEEE Transactions on