Please use this identifier to cite or link to this item:
https://hdl.handle.net/20.500.14279/2449
Title: | Density functions for navigation function based systems | Authors: | Jadbabaie, Ali Loizou, Savvas |
metadata.dc.contributor.other: | Λοΐζου, Σάββας | Keywords: | Dynamics;Navigation;Probabilities | Issue Date: | 2006 | 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: | https://hdl.handle.net/20.500.14279/2449 | ISSN: | 01912216 | Rights: | © 2006 IEEE | Type: | Conference Papers | Affiliation: | University of Pennsylvania |
Appears in Collections: | Δημοσιεύσεις σε συνέδρια /Conference papers or poster or presentation |
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