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Constructions of Strict Lyapunov Functions

Researchers from applied-mathematical and engineering backgrounds working in nonlinear and dynamical systems will find this monograph to be most valuable and for graduate studentsof control theory it will also be an authoritative source of information on a very important subject

Bibliographic Details
Main Authors: Malisoff, Michael, Mazenc, Frédéric (Author)
Format: eBook
Language:English
Published: London Springer London 2009, 2009
Edition:1st ed. 2009
Series:Communications and Control Engineering
Subjects:
Mechanics, Applied
Control, Robotics, Automation
Control And Systems Theory
Control Theory
Systems Theory, Control
Multibody Systems And Mechanical Vibrations
System Theory
Vibration
Control Engineering
Robotics
Multibody Systems
Automation
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • Background
  • Background on Nonlinear Systems
  • Review of Lyapunov Functions
  • Time-Invariant Case
  • Matrosov Conditions: Simple Case
  • Jurdjevic-Quinn Conditions
  • Systems Satisfying the Conditions of LaSalle
  • Time-Varying Case
  • Strictification: Basic Results
  • Backstepping for Time-Varying Systems
  • Matrosov Conditions: General Case
  • Adaptively Controlled Systems
  • Systems with Multiple Time Scales
  • Rapidly Time-Varying Systems
  • Slowly Time-Varying Systems
  • Hybrid Time-Varying Systems

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