DocumentCode
2432416
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
Volume
2
fYear
1994
fDate
27 Jun-2 Jul 1994
Firstpage
1028
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;
fLanguage
English
Publisher
ieee
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
Type
conf
DOI
10.1109/ICNN.1994.374324
Filename
374324
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