Title :
A Lyapunov machine for stability analysis of nonlinear systems
Author :
Prokhorov, Danil V.
Author_Institution :
Dept. of Electr. Eng., Texas Tech. Univ., Lubbock, TX, USA
fDate :
27 Jun-2 Jul 1994
Abstract :
Dynamic analysis of nonlinear system requires tool for study of arbitrary sets of positive semi-trajectories for the system rather than only single semi-trajectories. Such a study is difficult because of very high computational complexity. This paper proposes a Lyapunov machine as a possible tool for stability analysis of nonlinear autonomous systems. The Lyapunov machine is able to test global asymptotic stability, to isolate local asymptotic stability domains and to approximate a Lyapunov function for the system
Keywords :
Lyapunov methods; asymptotic stability; computational complexity; nonlinear systems; Lyapunov function; Lyapunov machine; computational complexity; dynamic analysis; global asymptotic stability; nonlinear autonomous systems; positive semi-trajectories; stability analysis; Asymptotic stability; Computational complexity; Limit-cycles; Lyapunov method; Neurons; Nonlinear dynamical systems; Nonlinear equations; Nonlinear systems; Stability analysis; System testing;
Conference_Titel :
Neural Networks, 1994. IEEE World Congress on Computational Intelligence., 1994 IEEE International Conference on
Conference_Location :
Orlando, FL
Print_ISBN :
0-7803-1901-X
DOI :
10.1109/ICNN.1994.374324
