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|Title:||Density functions for navigation-function-based systems||Authors:||Jadbabaie, Ali
|Issue Date:||2008||Publisher:||IEEE||Source:||IEEE Transactions on Automatic Control, 2008, Volume 53, Issue 2, Pages 612-617||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:||http://ktisis.cut.ac.cy/handle/10488/7775||ISSN:||00189286||DOI:||10.1109/TAC.2008.917745||Rights:||© 2008 IEEE|
|Appears in Collections:||Άρθρα/Articles|
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