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https://hdl.handle.net/20.500.14279/1445
Τίτλος: | Density functions for navigation-function-based systems | Συγγραφείς: | Loizou, Savvas Jadbabaie, Ali |
Major Field of Science: | Engineering and Technology | Field Category: | Mechanical Engineering | Λέξεις-κλειδιά: | Noise--Measurement;Density functionals;Dynamics;Asymptotic theory | Ημερομηνία Έκδοσης: | 2008 | Πηγή: | IEEE Transactions on Automatic Control, 2008, vol. 53, iss. 2, pp. 612-617 | Volume: | 53 | Issue: | 2 | Start page: | 612 | End page: | 617 | Περιοδικό: | IEEE Transactions on Automatic Control | Περίληψη: | 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 |
Εμφανίζεται στις συλλογές: | Άρθρα/Articles |
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