Jump to ContentJump to Main Navigation
Stability and Control of Large-Scale Dynamical SystemsA Vector Dissipative Systems Approach$
Users without a subscription are not able to see the full content.

Wassim M. Haddad and Sergey G. Nersesov

Print publication date: 2011

Print ISBN-13: 9780691153469

Published to Princeton Scholarship Online: October 2017

DOI: 10.23943/princeton/9780691153469.001.0001

Show Summary Details
Page of

PRINTED FROM PRINCETON SCHOLARSHIP ONLINE (www.princeton.universitypressscholarship.com). (c) Copyright Princeton University Press, 2017. All Rights Reserved. Under the terms of the licence agreement, an individual user may print out a PDF of a single chapter of a monograph in HSO for personal use (for details see http://www.universitypressscholarship.com/page/privacy-policy).date: 24 April 2018

Control Vector Lyapunov Functions for Large-Scale Impulsive Systems

Control Vector Lyapunov Functions for Large-Scale Impulsive Systems

Chapter:
(p.271) Chapter Eleven Control Vector Lyapunov Functions for Large-Scale Impulsive Systems
Source:
Stability and Control of Large-Scale Dynamical Systems
Author(s):

Wassim M. Haddad

Sergey G. Nersesov

Publisher:
Princeton University Press
DOI:10.23943/princeton/9780691153469.003.0011

This chapter extends the notion of control vector Lyapunov functions to impulsive dynamical systems. Vector Lyapunov theory has been developed to weaken the hypothesis of standard Lyapunov theory to enlarge the class of Lyapunov functions that can be used for analyzing system stability. In particular, the use of vector Lyapunov functions in dynamical system theory offers a very flexible framework since each component of the vector Lyapunov function can satisfy less rigid requirements as compared to a single scalar Lyapunov function. Using control vector Lyapunov functions, the chapter develops a universal hybrid decentralized feedback stabilizer for a decentralized affine in the control nonlinear impulsive dynamical system that possesses guaranteed gain and sector margins in each decentralized input channel. These results are used to develop hybrid decentralized controllers for large-scale impulsive dynamical systems with robustness guarantees against full modeling and input uncertainty.

Keywords:   control vector Lyapunov function, impulsive dynamical system, vector Lyapunov function, feedback stabilizer, decentralized affine, gain margin, sector margin, hybrid decentralized controller

Princeton Scholarship Online requires a subscription or purchase to access the full text of books within the service. Public users can however freely search the site and view the abstracts and keywords for each book and chapter.

Please, subscribe or login to access full text content.

If you think you should have access to this title, please contact your librarian.

To troubleshoot, please check our FAQs , and if you can't find the answer there, please contact us.