Title :
Global asymptotic stability of certain nonlinear feedback systems
Author_Institution :
Indiana Institute of Technology, Fort Wayne, IN, USA
Abstract :
The global asymptotic stability of nonlinear feedback systems x = Ax + bf(ξTx) where the matrix A has purely imaginary roots is investigated. Narendra and Taylor have studied nonlinear systems where they assumed A to be negative definite. In this letter, conditions are derived which guarantee that all bounded solutions approach an equilibrium state.
Keywords :
Asymptotic stability; Degradation; Delay effects; Feedback; Frequency shift keying; Pulse modulation; System performance; Tail; Transmitters; Viterbi algorithm;
Journal_Title :
Proceedings of the IEEE
DOI :
10.1109/PROC.1973.9309
