NONLINEAR SYSTEMS ANALYSIS

TRAMA

This text provides a rigorous mathematical analysis of the behavior of nonlinear control systems under a variety of situations.

NOTE EDITORE

When the first edition of this book was published, most control theorists considered the subject of nonlinear systems a mystery. Since then, advances in the application of differential geometric methods to nonlinear analysis have matured to a stage where every control theorist needs to possess knowledge of the basic techniques. The second edition provides a rigorous mathematical analysis of the behavior of nonlinear control systems under a variety of situations. It develops nonlinear generalizations of a large number of techniques and methods widely used in linear control theory. It contains three extensive chapters devoted to the key topics of Lyapunov stability, input-output stability, and the treatment of differential geometric control theory. Moreover, valuable reference material included in these chapters is unavailable elsewhere. The text also features a large number of problems that allow readers to test their understanding, and self-contained sections and chapters that make particular topics more accessible.

SOMMARIO

Preface; 1. Introduction; 2. Nonlinear differential equations; 3. Second-order systems; 4. Approximate analysis methods; 5. Lyapunov stability; 6. Input-output stability; 7. Differential geometric methods; Appendices; References; Index.

PREFAZIONE

This second edition text provides a rigorous mathematical analysis of the behavior of nonlinear control systems under a variety of situations. Three chapters cover the topics of Lyapunov stability, input-output stability, and the treatment of differential geometric control theory, with reference material unavailable elsewhere.

ALTRE INFORMAZIONI

• Condizione: Nuovo
• ISBN: 9780898715262
• Collana: Classics in Applied Mathematics
• Dimensioni: 228 x 25 x 152 mm
• Formato: Paperback / softback
• Pagine Arabe: 520