By Bingo Wing-Kuen Ling, Herbert Ho-Ching Iu, Hak-Keung Lam

ISBN-10: 9812790578

ISBN-13: 9789812790576

During this booklet, major researchers current their present paintings within the tough zone of chaos regulate in nonlinear circuits and platforms, with emphasis on useful methodologies, procedure layout innovations and purposes. a mix of evaluation, instructional and technical articles, the e-book describes cutting-edge learn on major difficulties during this region. The scope and target of this publication are to bridge the distance among chaos keep an eye on tools and circuits and structures. it really is an incredible place to begin for a person who wishes a basic figuring out of controlling chaos in nonlinear circuits and structures.

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**Additional resources for Control of chaos in nonlinear circuits and systems**

**Sample text**

5). 6) i =1 where e(t ) = x(t ) − xˆ (t ) is the error system state vector, G i ∈ ℜ n×n is the feedback gain to be designed and mi(e(t)) is a scalar function to be determined later. The scalar function of mi(e(t)) is a switching function which takes either 0 or 1 to compensate the uncertainties in the membership functions of the fuzzy models. 3. 5). 7) i =1 p q i =1 j =1 ˆ xˆ (t ) . It should be where m e (x(t ), xˆ (t ) ) = ∑ wi ( x(t ))A i xˆ (t ) − ∑ wˆ j (xˆ (t ))A j noted that wi(x(t)), wˆ j (xˆ (t )) and xˆ (t ) are bounded due to the nature of the membership functions and chaotic drive system.

Simulation examples are given to show the effectiveness of the proposed approach. 1. Introduction Chaotic control is a challenging task due to the complex characteristic of the chaotic systems. K. F. Leung important topics which has drawn a great deal of attention from researchers. Comparing to the chaos stabilization problem, chaos synchronization is much harder to be achieved. To stabilize the chaos behaviour, the control objective is only to suppress the chaotic dynamics and drive the system states to the equilibrium.

M. Pecora and T. L. Carroll, Synchronization in chaotic systems, Phys. Rev. Lett. 64, 821-824, (1990). [2] R. Brown and L. Kocarev, A unifying definition of synchronization for dynamical systems, Chaos 10, 344-349, (2000). [3] G. Chen and X. Dong, From Chaos to Order-Perspectives, Methodologies, and Applications. (World Scientific, Singapore, 1998). [4] P. F. Curran and L. O. Chua, Absolute stability theory and the synchronization problem, Int. J. Bifurcation and Chaos 7, 1375-1382, (1997). [5] P.

### Control of chaos in nonlinear circuits and systems by Bingo Wing-Kuen Ling, Herbert Ho-Ching Iu, Hak-Keung Lam

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