On Exact Controllability of First-Order Impulsive Differential Equations

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URI: http://hdl.handle.net/10347/22861
ISSN: 1687-1847
DOI: 10.1155/2010/136504

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2010

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SpringerOpen
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Abstract

Many dynamical systems have an impulsive dynamical behavior due to abrupt changes at certain instants during the evolution process. The mathematical description of these phenomena leads to impulsive differential equations. In this work, we present some new results concerning the exact controllability of a nonlinear ordinary differential equation with impulses.

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Normed Space| Continuous Semigroup| Infinitesimal Generator| Nonlinear Ordinary Differential Equation| Impulsive Control

Bibliographic citation

Nieto, J., Tisdell, C. On Exact Controllability of First-Order Impulsive Differential Equations. Adv Differ Equ 2010, 136504 (2010). https://doi.org/10.1155/2010/136504

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The research of C. C. Tisdell was supported by funding from The Australian Research Council’s Discovery Projects (DP0450752). The research of J. J. Nieto was partially supported by Ministerio de Educacion y Ciencia and FEDER, Project MTM2007 61724, and by Xunta de ´ Galicia and FEDER, Project PGIDIT06PXIB207023PR

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Copyright © 2010 J. J. Nieto and C. C. Tisdell. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited

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Estatística, Análise Matemática e Optimización