Nonlinear Control Systems Analysis and Design [Hardcover]

Provides complete coverage of both the Lyapunov and Input-Output stability theories, ina readable, concise manner.
* Supplies an introduction to the popular backstepping approach to nonlinear control design
* Gives a thorough discussion of the concept of input-to-state stability
* Includes a discussion of the fundamentals of feedback linearization and related results.
* Details complete coverage of the fundamentals of dissipative system's theory and its application in the so-called L2gain control prooblem, for the first time in an introductory level textbook.
* Contains a thorough discussion of nonlinear observers, a very important problem, not commonly encountered in textbooksat this level.

*An Instructor's Manual presenting detailed solutions to all the problems in the book is available from the Wiley editorial department.

Introduction.

1.1 Linear Time-Invariant Systems.

1.2 Nonlinear Systems.

1.3 Equilibrium Points.

1.4 First-Order Autonomous Nonlinear Systems.

1.5 Second-Order Systems: Phase-Plane Analysis.

1.6 Phase-Plane Analysis of Linear Time-Invariant Systems.

1.7 Phase-Plane Analysis of Nonlinear Systems.

1.8 Higher-Order Systems.

1.9 Examples of Nonlinear Systems.

1.10 Exercises.

Mathematical Preliminaries.

2.1 Sets.

2.2 Metric Spaces.

2.3 Vector Spaces.

2.4 Matrices.

2.5 Basic Topology.

2.6 Sequences.

2.7 Functions.

2.8 Differentiability.

2.9 Lipschitz Continuity.

2.10 Contraction Mapping.

2.11 Solution of Differential Equations.

2.12 Exercises.

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