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Nonlinear Systems Upplaga 3

Name: Nonlinear Systems
Brand: Pearson
SKU: 93738
Availability: InStock
ISBN: 9780130673893

av Hassan Khalil

All chapters conclude with Exercises.

1. Introduction.

Nonlinear Models and Nonlinear Phenomena. Examples.

2. Second-Order Systems.

Qualitative Behavior of Linear Systems. Multiple Equilibria. Qualitative Behavior Near Equilibrium Points. Limit Cycles. Numerical Construction of Phase Portraits. Existence of Periodic Orbits. Bifurcation. Systems.

3. Fundamental Properties.

Existence and Uniqueness. Continuos Dependence on Initial Conditions and Parameters. Differentiability of solutions and Sensitivity Equations. Comparison Principle.

4. Lyapunov Stability.

Autonomous Systems. The Invariance Principle. Linear Systems and Linearization. Comparison Functions. Nonautonomous Systems. Linear Time-Varying Systems and Linearization. Converse Theorems. Boundedness and Ultimate Boundedness. Input-to-State Stability.

5. Input-Output Stability.

L Stability. L Stability of State Models. L<v>2 Gain. Feedback Systems: The Small-Gain Theorem.

6. Passivity.

Memoryless Functions. State Models. Positive Real Transfer Functions. L<v>2 and Lyapunov Stability. Feedback Systems: Passivity Theorems.

7. Frequency-Domain Analysis of Feedback Systems.

Absolute Stability. The Describing Function Method.

8. Advanced Stability Analysis.

The Center Manifold Theorem. Region of Attraction. Invariance-like Theorems. Stability of Periodic Solutions.

9. Stability of Perturbed Systems.

Vanishing Pertubation. Nonvanishing Pertubation. Comparison Method. Continuity of Solutions on the Infinite Level. Interconnected Systems. Slowly Varying Systems.

10. Perturbation Theory and Averaging.

The Perturbation Method. Perturbation on the Infinite Level. Periodic Perturbation of Autonomous Systems. Averaging. Weekly Nonlinear Second-Order Oscillators. General Averaging.

11. Singular Perturbations.

The Standard Singular Perturbation Model. Time-Scale Properties of the Standard Model. Singular Perturbation on the Infinite Interval. Slow and Fast Manifolds. Stability Analysis.

12. Feedback Control.

Control Problems. Stabilization via Linearization. Integral Control. Integral Control via Linearization. Gain Scheduling.

13. Feedback Linearization.

Motivation. Input-Output Linearization. Full-State Linearization. State Feedback Control.

14. Nonlinear Design Tools.

Sliding Mode Control. Lyapunov Redesign. Backstepping. Passivity-Based Control. High-Gain Observers.

Appendix A. Mathematical Review.

Appendix B. Contraction Mapping.

Appendix C. Proofs.

Notes and References.

Bibliography.

Symbols.

Index.

All chapters conclude with Exercises.

1. Introduction.

Nonlinear Models and Nonlinear Phenomena. Examples.

2. Second-Order Systems.

3. Fundamental Properties.

Existence and Uniqueness. Continuos Dependence on Initial Conditions and Parameters. Differentiability of solutions and Sensitivity Equations. Comparison Principle.

4. Lyapunov Stability.

5. Input-Output Stability.

L Stability. L Stability of State Models. L<v>2 Gain. Feedback Systems: The Small-Gain Theorem.

6. Passivity.

Memoryless Functions. State Models. Positive Real Transfer Functions. L<v>2 and Lyapunov Stability. Feedback Systems: Passivity Theorems.

7. Frequency-Domain Analysis of Feedback Systems.

Absolute Stability. The Describing Function Method.

8. Advanced Stability Analysis.

The Center Manifold Theorem. Region of Attraction. Invariance-like Theorems. Stability of Periodic Solutions.

9. Stability of Perturbed Systems.

Vanishing Pertubation. Nonvanishing Pertubation. Comparison Method. Continuity of Solutions on the Infinite Level. Interconnected Systems. Slowly Varying Systems.

10. Perturbation Theory and Averaging.

The Perturbation Method. Perturbation on the Infinite Level. Periodic Perturbation of Autonomous Systems. Averaging. Weekly Nonlinear Second-Order Oscillators. General Averaging.

11. Singular Perturbations.

The Standard Singular Perturbation Model. Time-Scale Properties of the Standard Model. Singular Perturbation on the Infinite Interval. Slow and Fast Manifolds. Stability Analysis.

12. Feedback Control.

Control Problems. Stabilization via Linearization. Integral Control. Integral Control via Linearization. Gain Scheduling.

13. Feedback Linearization.

Motivation. Input-Output Linearization. Full-State Linearization. State Feedback Control.

14. Nonlinear Design Tools.

Sliding Mode Control. Lyapunov Redesign. Backstepping. Passivity-Based Control. High-Gain Observers.

Appendix A. Mathematical Review.

Appendix B. Contraction Mapping.

Appendix C. Proofs.

Notes and References.

Bibliography.

Symbols.

Index.

Upplaga: 3e upplagan

Utgiven: 2002

ISBN: 9780130673893

Förlag: Pearson

Format: Inbunden

Språk: Engelska

Sidor: 768 st

All chapters conclude with Exercises.

1. Introduction.

Nonlinear Models and Nonlinear Phenomena. Examples.

2. Second-Order Systems.

3. Fundamental Properties.

Existence and Uniqueness. Continuos Dependence on Initial Conditions and Parameters. Differentiability of solutions and Sensitivity Equations. Comparison Principle.

4. Lyapunov Stability.

5. Input-Output Stability.

L Stability. L Stability of State Models. L<v>2 Gain. Feedback Systems: The Small-Gain Theorem.

6. Passivity.

Memoryless Functions. State Models. Positive Real Transfer Functions. L<v>2 and Lyapunov Stability. Feedback Systems: Passivity Theorems.

7. Frequency-Domain Analysis of Feedback Systems.

Absolute Stability. The Describing Function Method.

8. Advanced Stability Analysis.

The Center Manifold Theorem. Region of Attraction. Invariance-like Theorems. Stability of Periodic Solutions.

9. Stability of Perturbed Systems.

Vanishing Pertubation. Nonvanishing Pertubation. Comparison Method. Continuity of Solutions on the Infinite Level. Interconnected Systems. Slowly Varying Systems.

10. Perturbation Theory and Averaging.

The Perturbation Method. Perturbation on the Infinite Level. Periodic Perturbation of Autonomous Systems. Averaging. Weekly Nonlinear Second-Order Oscillators. General Averaging.

11. Singular Perturbations.

The Standard Singular Perturbation Model. Time-Scale Properties of the Standard Model. Singular Perturbation on the Infinite Interval. Slow and Fast Manifolds. Stability Analysis.

12. Feedback Control.

Control Problems. Stabilization via Linearization. Integral Control. Integral Control via Linearization. Gain Scheduling.

13. Feedback Linearization.

Motivation. Input-Output Linearization. Full-State Linearization. State Feedback Control.

14. Nonlinear Design Tools.

Sliding Mode Control. Lyapunov Redesign. Backstepping. Passivity-Based Control. High-Gain Observers.

Appendix A. Mathematical Review.

Appendix B. Contraction Mapping.

Appendix C. Proofs.

Notes and References.

Bibliography.

Symbols.

Index.

All chapters conclude with Exercises.

1. Introduction.

Nonlinear Models and Nonlinear Phenomena. Examples.

2. Second-Order Systems.

3. Fundamental Properties.

Existence and Uniqueness. Continuos Dependence on Initial Conditions and Parameters. Differentiability of solutions and Sensitivity Equations. Comparison Principle.

4. Lyapunov Stability.

5. Input-Output Stability.

L Stability. L Stability of State Models. L<v>2 Gain. Feedback Systems: The Small-Gain Theorem.

6. Passivity.

Memoryless Functions. State Models. Positive Real Transfer Functions. L<v>2 and Lyapunov Stability. Feedback Systems: Passivity Theorems.

7. Frequency-Domain Analysis of Feedback Systems.

Absolute Stability. The Describing Function Method.

8. Advanced Stability Analysis.

The Center Manifold Theorem. Region of Attraction. Invariance-like Theorems. Stability of Periodic Solutions.

9. Stability of Perturbed Systems.

Vanishing Pertubation. Nonvanishing Pertubation. Comparison Method. Continuity of Solutions on the Infinite Level. Interconnected Systems. Slowly Varying Systems.

10. Perturbation Theory and Averaging.

The Perturbation Method. Perturbation on the Infinite Level. Periodic Perturbation of Autonomous Systems. Averaging. Weekly Nonlinear Second-Order Oscillators. General Averaging.

11. Singular Perturbations.

The Standard Singular Perturbation Model. Time-Scale Properties of the Standard Model. Singular Perturbation on the Infinite Interval. Slow and Fast Manifolds. Stability Analysis.

12. Feedback Control.

Control Problems. Stabilization via Linearization. Integral Control. Integral Control via Linearization. Gain Scheduling.

13. Feedback Linearization.

Motivation. Input-Output Linearization. Full-State Linearization. State Feedback Control.

14. Nonlinear Design Tools.

Sliding Mode Control. Lyapunov Redesign. Backstepping. Passivity-Based Control. High-Gain Observers.

Appendix A. Mathematical Review.

Appendix B. Contraction Mapping.

Appendix C. Proofs.

Notes and References.

Bibliography.

Symbols.

Index.

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Om Nonlinear Systems (2002)

I januari 2002 släpptes boken Nonlinear Systems skriven av Hassan Khalil. Det är den 3e upplagan av kursboken. Den är skriven på engelska och består av 768 sidor djupgående information om övrigt. Förlaget bakom boken är Pearson som har sitt säte i London.

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