Asymptotic estimates for reachable sets of singularly perturbed linear systems

Autor:	A. I. Ovseevich, E. V. Goncharova
Rok vydání:	2010
Předmět:	Partial differential equation General Mathematics Linear system Support function Lyapunov exponent Lipschitz continuity symbols.namesake Rate of convergence Control theory Ordinary differential equation symbols Applied mathematics Limit (mathematics) Analysis Mathematics
Zdroj:	Differential Equations. 46:1737-1749
ISSN:	1608-3083 0012-2661
Popis:	We study the limit behavior of the reachable set for singularly perturbed nonautonomous linear systems with geometric control constraints. We assume that the system is stable in the fast variables and its coefficients are Lipschitz functions of time. We obtain estimates for the convergence rate as the small parameter tends to zero.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::15447a0cf3b7d413f9695902e58167e5 https://doi.org/10.1134/s0012266110120074 Zobrazit plný text záznamu Plný text ve formátu PDF