 |
|
|
|
|
|
This article is cited in 5 scientific papers (total in 5 papers) Hamilton–Jacobi inequalities in control problems for impulsive dynamical systems V. A. Dykhtaab, O. N. Samsonyukab a Institute for System Dynamics and Control Theory, Siberian Branch of the Russian Academy of Sciences, Irkutsk, Russia b Institute of Mathematics, Economics and Information Science, Irkutsk State University, Irkutsk, Russia Abstract: We propose definitions of strong and weak monotonicity of Lyapunov-type functions for nonlinear impulsive dynamical systems that admit vector measures as controls and have trajectories of bounded variation. We formulate infinitesimal conditions for the strong and weak monotonicity in the form of systems of proximal Hamilton–Jacobi inequalities. As an application of strongly and weakly monotone Lyapunov-type functions, we consider estimates for integral funnels of impulsive systems as well as necessary and sufficient conditions of global optimality corresponding to the approach of the canonical Hamilton–Jacobi theory.  Full text:
PDF file (275 kB)
References:
PDF file
HTML file
English version: Proceedings of the Steklov Institute of Mathematics, 2010, 271,  Bibliographic databases:    
UDC: 517.977.5 Received in February 2010 Citation: V. A. Dykhta, O. N. Samsonyuk, “Hamilton–Jacobi inequalities in control problems for impulsive dynamical systems”, Differential equations and topology. II, Collected papers. In commemoration of the centenary of the birth of Academician Lev Semenovich Pontryagin, Tr. Mat. Inst. Steklova, 271, MAIK Nauka/Interperiodica, Moscow, 2010, 
Citation in format AMSBIB
\Bibitem{DykSam10}Linking options:
Citing articles on Google Scholar: Russian citations, English citations Related articles on Google Scholar: Russian articles, English articles This publication is cited in the following articles:
|
|
||||||||||||||||||
|
|
Contact us: |
 Terms of Use
|
Registration |
Logotypes |
|