By Bingo Wing-Kuen Ling, Herbert Ho-Ching Iu, Hak-Keung Lam
During this ebook, major researchers current their present paintings within the hard quarter of chaos keep watch over in nonlinear circuits and platforms, with emphasis on functional methodologies, process layout recommendations and functions. a mix of evaluate, educational and technical articles, the e-book describes state of the art examine on major difficulties during this zone. The scope and objective of this booklet are to bridge the distance among chaos keep watch over equipment and circuits and platforms. it truly is a fantastic start line for someone who wishes a primary knowing of controlling chaos in nonlinear circuits and platforms.
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Extra info for Control of chaos in nonlinear circuits and systems
Dyn. Syst. Meas. Cont. 125, 158165, (2003).  H. F. Chen and J. M. Liu, Open-loop chaotic synchronization of injectionlocked semiconductor lasers with Gigahertz range modulation, IEEE J. Quant. Electron. 36, 27-34, (2000).  J. -X. Li, and D. W. C. Ho, Synchronization criteria of Lur’e systems with time-delay feedback control, Chaos Solit. Fract 23, 1285-1298, (2005).  H. , Li, and J. Zhong, Master-slave synchronization of general Lur’e systems with time-varying delay and parameter uncertainty, Int.
39) is globally asymptotically stable. 1) under zero initial condition, we introduce ∞ z T (t)z(t) − γ 2 wT (t)w(t) dt. 48) 0 Under the zero initial condition, from the definition of V3 (t), one has V3 (0) = 0 and V3 (t) ≥ 0 for t > 0. Then ∞ z T (t)z(t) − γ 2 wT (t)w(t) dt + V3 (t)|t=∞ − V3 (0) J(t) ≤ 0 ∞ = z T (t)z(t) − γ 2 wT (t)w(t) + V˙ 3 (t) dt. 50) October 21, 2008 10:5 World Scientific Review Volume - 9in x 6in 22 ChaoticControl H. Huang and G. 3, Θ11 + H T H Θ12 Θ13 Θ14 T ∗ −Q − N − N −N −N 2 3 4 2 Π6 = ∗ ∗ −2Λ 0 ∗ ∗ ∗ −γ 2 I Π7 = A −M H B D .
However, the complex adaptive laws will always increase the computational demand and structural complexity of the fuzzy controllers. In this chapter, the synchronization of chaotic systems subject to parameter uncertainties is handled based on the fuzzy-model-based approach. A fuzzy model will first be employed to represent the chaotic system. To deal with the parameter uncertainties and achieve synchronization, a switching controller is proposed. A switching law is then derived to guarantee the convergence of the error states between the response and the drive chaotic systems based on the Lyapunov stability theory.
Control of chaos in nonlinear circuits and systems by Bingo Wing-Kuen Ling, Herbert Ho-Ching Iu, Hak-Keung Lam