A Novel non-Lyapunov way for detecting uncertain parameters of chaos system with random noises

Authors:
Fei Gao;Yibo Qi;Ilangko Balasingham;Qiang Yin;Hongrui Gao
Affiliations:
Department of Mathematics, School of Science, Wuhan University of Technology, Luoshi Road 122, Wuhan, Hubei 430070, People's Republic of China and Signal Processing Group, Department of Electronic ...;Department of Mathematics, School of Science, Wuhan University of Technology, Luoshi Road 122, Wuhan, Hubei 430070, People's Republic of China;Signal Processing Group, Department of Electronics and Telecommunications, Norwegian University of Science and Technology, N-7491 Trondheim, Norway;Department of Mathematics, School of Science, Wuhan University of Technology, Luoshi Road 122, Wuhan, Hubei 430070, People's Republic of China;Department of Mathematics, School of Science, Wuhan University of Technology, Luoshi Road 122, Wuhan, Hubei 430070, People's Republic of China
Venue:
Expert Systems with Applications: An International Journal
Year:
2012

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Abstract

The paper is concerned with the uncertain parameters and time-delays of chaos system with random noises. A scheme based on differential evolution algorithm (DE) is newly introduced to solve the problem via a nonnegative multi-modal nonlinear optimization, which finds a best combination of parameters and time-delays such that an objective function is minimized. The illustrative examples, in both systems free of time-delays and time-delays systems with random noises, are given to demonstrate the validity of the proposed method.