標題: Implementation on Electronic Circuits and RTR Pragmatical Adaptive Synchronization: Time-Reversed Uncertain Dynamical Systems' Analysis and Applications
作者: Li, Shih-Yu
Yang, Cheng-Hsiung
Ko, Li-Wei
Lin, Chin-Teng
Ge, Zheng-Ming
機械工程學系
生物科技學系
電控工程研究所
腦科學研究中心
Department of Mechanical Engineering
Department of Biological Science and Technology
Institute of Electrical and Control Engineering
Brain Research Center
公開日期: 2013
摘要: We expose the chaotic attractors of time-reversed nonlinear system, further implement its behavior on electronic circuit, and apply the pragmatical asymptotically stability theory to strictly prove that the adaptive synchronization of given master and slave systems with uncertain parameters can be achieved. In this paper, the variety chaotic motions of time-reversed Lorentz system are investigated through Lyapunov exponents, phase portraits, and bifurcation diagrams. For further applying the complex signal in secure communication and file encryption, we construct the circuit to show the similar chaotic signal of time-reversed Lorentz system. In addition, pragmatical asymptotically stability theorem and an assumption of equal probability for ergodic initial conditions (Ge et al., 1999, Ge and Yu, 2000, and Matsushima, 1972) are proposed to strictly prove that adaptive control can be accomplished successfully. The current scheme of adaptive control-by traditional Lyapunov stability theorem and Barbalat lemma, which are used to prove the error vector-approaches zero, as time approaches infinity. However, the core question-why the estimated or given parameters also approach to the uncertain parameters-remains without answer. By the new stability theory, those estimated parameters can be proved approaching the uncertain values strictly, and the simulation results are shown in this paper.
URI: http://hdl.handle.net/11536/21787
http://dx.doi.org/10.1155/2013/909721
ISSN: 1085-3375
DOI: 10.1155/2013/909721
期刊: ABSTRACT AND APPLIED ANALYSIS
顯示於類別:期刊論文


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