Contributions to Books:
A.L. Dontchev, M. Krastanov, V.M. Veliov:
"w-limit sets for differential inclusions";
in: "Analysis and Geometry in Control Theory and its Applications",
Springer,
11,
2015,
ISBN: 978-3-319-06916-6,
159
- 169.
English abstract:
This paper is about locating ω-limit sets for solutions of differential inclusions with not necessarily continuous right side. Based on the LaSalle principle we assume that as time t→∞ the set of solutions approaches a closed subset S of Rn and then consider the dynamics restricted on S to find the location of the ω-limit set by utilizing nonsmooth Lyapunov type functions over a neighborhood of S; then we prove that this location is also valid for the original dynamics. We apply our result for nonsmooth differential equations and compare it with some recent works.
"Official" electronic version of the publication (accessed through its Digital Object Identifier - DOI)
http://dx.doi.org/10.1007/978-3-319-06917-3_6
Created from the Publication Database of the Vienna University of Technology.