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Cover image for Nonliner systems
Title:
Nonliner systems
Personal Author:
Edition:
2nd ed
Publication Information:
Upper Saddle River, N J : Prentice Hall, 1996
ISBN:
9780132280242
Subject Term:

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Library
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Call Number
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Item Category 1
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30000003711110 QA427 H37 1996 Open Access Book Book
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Summary

Summary

This book is written is such a way that the level of mathematical sophistication builds up from chapter to chapter. It has been reorganized into four parts: basic analysis, analysis of feedback systems, advanced analysis, and nonlinear feedback control. Updated content includes subjects which have proven useful in nonlinear control design in recent years-- new in the 3rd edition are: expanded treatment of passivity and passivity-based control; integral control, high-gain feedback, recursive methods, optimal stabilizing control, control Lyapunov functions, and observers. For use as a self-study or reference guide by engineers and applied mathematicians.


Table of Contents

Features: Builds in mathematical sophistication from chapter to chapter
Adopts a very precise theorem-proof format for presenting the fundamental notions of stability and asymptotic analysis for nonlinear systems -- but uses user-friendly language, enlivened with many examples and remarks
Covers the basic elements of Lyapunov stability in a separate chapter
Covers topics ignored by other similar texts, e.g.: averaging
Single perturbation center manifold theorem
New--reorganizes content into three distinct parts
Part I Covers nonlinear system analysis
Part II Discusses feedback systems
Part III Considers feedback design
New--expands coverage of: input-output stability
Feedback linearization
Small-theorem
New--adds coverage of: passivity approach
Back stepping control design
Sliding mode control
Numerical construction of phase portraits
Comparison principle
Comparison method
Input-output linearization
Differential geometric approach
Extended linearization
Features problems that range in difficulty from simple drill problems to advanced (research-level) problems
New--adds over 100 new problems
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