Nonlinear Systems

AvHassan Khalil

Inbunden, Engelska, 2002

4 496 kr

Beställningsvara. Skickas inom 3-6 vardagar. Fri frakt över 249 kr.

Fler format och utgåvor

Häftad

1 235 kr

Beskrivning

For a first-year graduate-level course on nonlinear systems. It may also be used for self-study or reference by engineers and applied mathematicians. The text is written to build the level of mathematical sophistication from chapter to chapter. It has been reorganized into four parts: Basic analysis, Analysis of feedback systems, Advanced analysis, and Nonlinear feedback control.

Produktinformation

Utgivningsdatum:2002-01-18
Mått:187 x 241 x 32 mm
Vikt:1 220 g
Format:Inbunden
Språk:Engelska
Antal sidor:768
Upplaga:3
Förlag:Pearson Education
ISBN:9780130673893

Utforska kategorier

Energiteknik inom Naturvetenskap och teknik

Innehållsförteckning

All chapters conclude with Exercises.1. Introduction Nonlinear Models and Nonlinear PhenomenaExamples2. Second-Order Systems Qualitative Behavior of Linear SystemsMultiple EquilibriaQualitative Behavior Near Equilibrium PointsLimit CyclesNumerical Construction of Phase PortraitsExistence of Periodic OrbitsBifurcationSystems3. Fundamental Properties Existence and UniquenessContinuous Dependence on Initial Conditions and ParametersDifferentiability of solutions and Sensitivity EquationsComparison Principle4. Lyapunov Stability Autonomous SystemsThe Invariance PrincipleLinear Systems and LinearizationComparison FunctionsNonautonomous SystemsLinear Time-Varying Systems and LinearizationConverse TheoremsBoundedness and Ultimate BoundednessInput-to-State Stability5. Input-Output Stability L StabilityL Stability of State ModelsL2 GainFeedback Systems: The Small-Gain Theorem6. Passivity Memoryless FunctionsState ModelsPositive Real Transfer FunctionsL2 and Lyapunov StabilityFeedback Systems: Passivity Theorems7. Frequency-Domain Analysis of Feedback Systems Absolute StabilityThe Describing Function Method8. Advanced Stability Analysis The Center Manifold TheoremRegion of AttractionInvariance-like TheoremsStability of Periodic Solutions9. Stability of Perturbed Systems Vanishing PertubationNonvanishing PertubationComparison MethodContinuity of Solutions on the Infinite LevelInterconnected SystemsSlowly Varying Systems10. Perturbation Theory and Averaging The Perturbation MethodPerturbation on the Infinite LevelPeriodic Perturbation of Autonomous SystemsAveragingWeekly Nonlinear Second-Order OscillatorsGeneral Averaging11. Singular Perturbations The Standard Singular Perturbation ModelTime-Scale Properties of the Standard ModelSingular Perturbation on the Infinite IntervalSlow and Fast ManifoldsStability Analysis12. Feedback Control Control ProblemsStabilization via LinearizationIntegral Control. Integral Control via LinearizationGain Scheduling13. Feedback Linearization MotivationInput-Output LinearizationFull-State LinearizationState Feedback Control14. Nonlinear Design Tools Sliding Mode ControlLyapunov RedesignBacksteppingPassivity-Based ControlHigh-Gain ObserversAPPENDICES A. Mathematical ReviewB. Contraction MappingC. Proofs.Notes and References

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Nonlinear Control

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Nonlinear Control, Global Edition

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Nonlinear Systems

AvHassan Khalil

Inbunden, Engelska, 2002

4 496 kr

Beställningsvara. Skickas inom 3-6 vardagar. Fri frakt över 249 kr.

Fler format och utgåvor

Häftad

1 235 kr

Beskrivning

Produktinformation

Utgivningsdatum:2002-01-18
Mått:187 x 241 x 32 mm
Vikt:1 220 g
Format:Inbunden
Språk:Engelska
Antal sidor:768
Upplaga:3
Förlag:Pearson Education
ISBN:9780130673893

Utforska kategorier

Energiteknik inom Naturvetenskap och teknik

Innehållsförteckning

All chapters conclude with Exercises.1. Introduction Nonlinear Models and Nonlinear PhenomenaExamples2. Second-Order Systems Qualitative Behavior of Linear SystemsMultiple EquilibriaQualitative Behavior Near Equilibrium PointsLimit CyclesNumerical Construction of Phase PortraitsExistence of Periodic OrbitsBifurcationSystems3. Fundamental Properties Existence and UniquenessContinuous Dependence on Initial Conditions and ParametersDifferentiability of solutions and Sensitivity EquationsComparison Principle4. Lyapunov Stability Autonomous SystemsThe Invariance PrincipleLinear Systems and LinearizationComparison FunctionsNonautonomous SystemsLinear Time-Varying Systems and LinearizationConverse TheoremsBoundedness and Ultimate BoundednessInput-to-State Stability5. Input-Output Stability L StabilityL Stability of State ModelsL2 GainFeedback Systems: The Small-Gain Theorem6. Passivity Memoryless FunctionsState ModelsPositive Real Transfer FunctionsL2 and Lyapunov StabilityFeedback Systems: Passivity Theorems7. Frequency-Domain Analysis of Feedback Systems Absolute StabilityThe Describing Function Method8. Advanced Stability Analysis The Center Manifold TheoremRegion of AttractionInvariance-like TheoremsStability of Periodic Solutions9. Stability of Perturbed Systems Vanishing PertubationNonvanishing PertubationComparison MethodContinuity of Solutions on the Infinite LevelInterconnected SystemsSlowly Varying Systems10. Perturbation Theory and Averaging The Perturbation MethodPerturbation on the Infinite LevelPeriodic Perturbation of Autonomous SystemsAveragingWeekly Nonlinear Second-Order OscillatorsGeneral Averaging11. Singular Perturbations The Standard Singular Perturbation ModelTime-Scale Properties of the Standard ModelSingular Perturbation on the Infinite IntervalSlow and Fast ManifoldsStability Analysis12. Feedback Control Control ProblemsStabilization via LinearizationIntegral Control. Integral Control via LinearizationGain Scheduling13. Feedback Linearization MotivationInput-Output LinearizationFull-State LinearizationState Feedback Control14. Nonlinear Design Tools Sliding Mode ControlLyapunov RedesignBacksteppingPassivity-Based ControlHigh-Gain ObserversAPPENDICES A. Mathematical ReviewB. Contraction MappingC. Proofs.Notes and References