CONTENTS -- Preface -- Section A: General Chaos Control Methods -- 1. Robust Synchronization of Chaotic Systems based on Time-delayed Feedback Control H. Huang and G. Feng -- 1.1. Introduction -- 1.2. Problem Formulation -- 1.3. Delay-Independent Synchronization Criterion -- 1.4. Delay-Dependent Synchronization Criteria -- 1.6 will be less conservative than Theorems 1.2 and 1.4 due to the increasing freedom of these slack variables. -- 1.5. A Simulation Example -- 1.6. Conclusion -- Acknowledgement -- References -- 2. Synchronization of Uncertain Chaotic Systems based on Fuzzy-model-based Approach H.K. Lam and F.H.F. Leung -- 2.1. Introduction -- 2.2. Fuzzy Model and Switching Controller -- 2.2.1. Fuzzy Model -- 2.2.2. Switching Controller -- 2.2.3. Error System -- 2.3. Stability Analysis -- 2.4. Simulation Examples -- 2.4.1. Rössler and Lorenz Systems -- 2.4.1.1. The Dynamics of the Response Rössler's System -- 2.4.1.2. The Dynamics of the Lorenz System -- 2.4.1.3. The Dynamics of the Proposed Switching Controller -- 2.4.2. Chua's and Lorenz Systems -- 2.4.2.1. The Dynamics of the Response Chua's System -- 2.4.2.2. The Dynamics of the Lorenz System -- 2.4.2.3. The Dynamics of the Switching Controller -- 2.5. Conclusion -- Acknowledgement -- References -- 3. Sliding Mode Control of Chaotic Systems Y. Feng and X. Yu -- 3.1. Introduction -- 3.2. Sliding Mode Control -- 3.3. Chaos Control -- 3.4. Chaos Synchronization -- 3.4.1. Synchronization of Chaotic System Using Observer -- 3.4.2. Chaos Synchronization Using a Robust Sliding Mode Observer -- 3.4.3. Implementation of Chaos Synchronization -- 3.4.4. Multi-dimensional Signals Transmission via One Signal Transmission Channel -- 3.4.5. Synchronization of Chaotic Systems with Multi-nonlinearities -- 3.5. Conclusions -- References.

4. A New Two-stage Method for Nonparametric Regression with Jump Points C.Z. Wu, C.M. Liu, K.L. Teo and Q.X. Shao -- 4.1. Introduction -- 4.2. Estimation for Potential Jump Points -- 4.3. Segmented Regression with Constraints -- 4.4. A Time Scaling Transformation Method -- 4.5. Model Selection -- 4.6. Numerical Example -- 4.7. Conclusion -- References -- Section B: Chaos Control for Continuous-time Systems -- 5. Chaos Control for Chua's Circuits L.A.B. Tôrres, L.A. Aguirre, R.M. Palhares and E.M.A.M. Mendes -- 5.1. Introduction -- 5.2. Chua's Circuit Implementation -- 5.2.1. An Overview of Chua's Circuit -- 5.2.2. An Inductorless Version of the Circuit -- 5.2.3. PCChua { A Versatile Experimental Platform -- 5.3. Chua's Circuit Data Analysis and Modeling -- 5.3.1. The Issue of Observability -- 5.3.2. Higher-order Spectral Analysis -- 5.3.2.1. The Main Concepts -- 5.3.2.2. The Results -- 5.3.3. Discrete-time Global Modeling -- 5.3.3.1. Monovariable Polynomial Model -- 5.3.3.2. Monovariable Rational Model -- 5.3.4. Continuous-time Global Modeling -- 5.3.4.1. The Parsimonious Models -- 5.3.4.2. Topological Characterization -- 5.3.4.3. Model Validation -- 5.3.4.4. Multivariable Polynomial Modeling -- 5.3.5. State Estimation -- 5.4. Chua's Circuit Control and Synchronization -- 5.4.1. General Considerations { Control Objective, Available Energy and Mathematical Modelling -- 5.4.1.1. The ITVC Principle -- 5.4.2. Linear State Feedback -- 5.4.3. Robust Control and Synchronization via Linear Matrix Inequalities -- 5.4.3.1. Robust H1 Synchronization -- 5.4.3.2. Experimental Results with Information Transmission -- 5.4.4. Nonlinear State Feedback -- 5.4.4.1. Low Energy Adaptive Proportional Controller -- 5.4.4.2. High Energy Sliding Mode Controller -- 5.5. Conclusions -- Acknowledgments -- References.

6. Chaos Control for a PWM H-bridge Inverter B. Robert, M. Feki and H.H.C. Iu -- 6.1. Introduction -- 6.2. H-Bridge Model -- 6.3. Current-programmed Inverter -- 6.4. Time-delayed Feedback Controller -- 6.4.1. Controller Design -- 6.4.2. Stability Analysis -- 6.4.3. Results -- 6.4.4. Optimality Criterion -- 6.5. Extended Time-delayed Feedback Controller -- 6.5.1. Controller Design -- 6.5.2. Stability Analysis -- 6.5.3. Results -- 6.5.4. Optimality Criterion -- 6.6. Results on Sinusoidal Output Tracking -- 6.7. Conclusion -- Acknowledgement -- References -- 7. Chaos Control of Epileptiform Bursting in the Brain M.W. Slutzky, P. Cvitanovic and D.J. Mogul -- 7.1. Introduction -- 7.2. Searching for Evidence of Chaos in the Brain -- 7.2.1. Transforming Brain Signals into State Space -- 7.2.2. Global Measure of Chaos: Lyapunov Exponent Estimates and Short-time Expansion -- 7.2.3. Local Measure of Chaos: Unstable Periodic Orbits -- 7.3. Chaos Control of Epileptiform Bursting -- 7.3.1. Slice Electrophysiology -- 7.3.2. SMP Control -- 7.3.3. Effect of Control Radius (Rc) and Synaptic Plasticity on Control Efficacy -- 7.3.4. Adaptive Control Techniques -- 7.4. Feasibility of Control and Fixed Point Detection by State-point Forcing -- 7.5. Obstacles to Chaos Control -- 7.6. Conclusion -- References -- Section C: Chaos Control for Discrete-time Systems -- 8. Chaos Control for Phase Lock Loop A.M. Harb and B.A. Harb -- 8.1. Introduction -- 8.1.1. The Concept of Phased Lock Loop -- 8.2. Mathematical Model -- 8.3. Equilibrium Solution -- 8.4. Backstepping Recursive Nonlinear Controller -- 8.4. Conclusions -- Appendix 8A-Methodology of Backstepping -- References -- 9. Control of Sigma Delta Modulators via Fuzzy Impulsive Approach B.W.K. Ling, C.Y.F. Ho and J.D. Reiss -- 9.1. Introduction -- 9.2. Notations.

9.3. Conditions for Occurrence of Limit Cycle Behaviors and Local Stability Criterion -- 9.4. Fuzzy Impulsive Control Strategy -- 9.4.1. Fuzzy Impulsive Control Strategy -- 9.4.2. Parameters in the Fuzzy Impulsive Controller -- 9.4.3. Complexity Issue -- 9.4.4. Implementation of the Fuzzy Impulsive Controller -- 9.5. Simulation Results -- 9.6. Conclusion -- References.