Please use this identifier to cite or link to this item:
https://hdl.handle.net/20.500.14279/1445
Title: | Density functions for navigation-function-based systems |
Authors: | Loizou, Savvas Jadbabaie, Ali |
Major Field of Science: | Engineering and Technology |
Field Category: | Mechanical Engineering |
Keywords: | Noise--Measurement;Density functionals;Dynamics;Asymptotic theory |
Issue Date: | 2008 |
Source: | IEEE Transactions on Automatic Control, 2008, vol. 53, iss. 2, pp. 612-617 |
Volume: | 53 |
Issue: | 2 |
Start page: | 612 |
End page: | 617 |
Journal: | IEEE Transactions on Automatic Control |
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) using navigation functions (NFs). Although recently-proven converse theorems guarantee the existence of density functions for such systems, such 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 an NF, a density function can be easily derived from the system's underlying NF. |
URI: | https://hdl.handle.net/20.500.14279/1445 |
ISSN: | 15582523 |
DOI: | 10.1109/TAC.2008.917745 |
Rights: | © IEEE |
Type: | Article |
Affiliation : | National and Kapodistrian University of Athens University of Pennsylvania |
Publication Type: | Peer Reviewed |
Appears in Collections: | Άρθρα/Articles |
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