Please use this identifier to cite or link to this item: http://ktisis.cut.ac.cy/handle/10488/7797
Title: Density functions for navigation function based systems
Authors: Jadbabaie, Ali
Loizou, Savvas 
Keywords: Dynamics;Navigation;Probabilities
Issue Date: 2006
Publisher: IEEE
Source: 45th IEEE Conference on Decision and Control, 2006, San Diego, California
Link: http://www.ieeecss.org/CAB/conferences/cdc2006/index.php
Abstract: In this paper, we present a scheme for constructing density functions for systems that are almost globally asymptotically stable (i.e., systems for which all trajectories converge to an equilibrium except for a set of measure zero) based on Navigation Functions. Although recently-proven converse theorems guarantee the existence of density functions for such systems, results are only existential and the construction of a density function for almost globally asymptotically stable systems remains a challenging task. We show that for a specific class of dynamical systems that are defined based on a navigation function, a density function can be easily derived from the system's underlying navigation function.
URI: http://ktisis.cut.ac.cy/handle/10488/7797
ISSN: 01912216
Rights: © 2006 IEEE
Type: Conference Papers
Appears in Collections:Δημοσιεύσεις σε συνέδρια/Conference papers

Show full item record

Page view(s)

15
Last Week
0
Last month
1
checked on Nov 23, 2017

Google ScholarTM

Check


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.