Nonlinear systems

Nonlinear systems

by Khalil, Hassan K.

Type Book
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Title Statements

  • Full title :Nonlinear systems / Hassan K. Khalil.

Edition Statements

  • Publication Date:2014.
  • Edition:Pearson new international edition

Publication Statements

The Physical Object

  • Description:556 p. : : gráf. ; : 28 cm

Edition Identifiers

  • ISBN:9781292039213, 1292039213
  • oclc:on1242122563

Table of Contents

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. L2 Gain. Feedback Systems: The Small-Gain Theorem. 6. Passivity. Memoryless Functions. State Models. Positive Real Transfer Functions. L2 and Lyapunov Stability. Feedback Systems: Passivity Theorems. 7. Frequency-Domain Analysis of Feedback Systems. Absolute Stability. The Describing Function Method. 8. Advance…

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