Katya G. Dishlieva, Angel B. Dishliev
Abstract:
We study nonlinear non-autonomous systems of ordinary differential equations
with variable structure and impulses. The consecutive changes on right-hand
sides of this system and the impulsive effects on the solution of the
corresponding initial problem take place simultaneously at the moment
when the solution cancels the switching functions.
We find sufficient conditions for the uniform final boundedness of solutions.
These results are obtained using a suitable variation of the Lyapunov second
method.
Submitted July 17, 2013. Published October 2, 2014.
Math Subject Classifications: 34A37, 65L05.
Key Words: Variable structure; impulses; switching functions;
uniformly finally bounded solutions.
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Katya G. Dishlieva Faculty of Applied Mathematics and Informatics Technical University of Sofia, Bulgaria email: kgd@tu-sofia.bg | |
Angel B. Dishliev Department of Mathematics University of Chemical Technology and Metallurgy Sofia, Bulgaria email: dishliev@uctm.edu |
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