| Grant number: | 14/15250-5 |
| Support Opportunities: | Research Grants - Visiting Researcher Grant - International |
| Start date: | September 11, 2014 |
| End date: | September 22, 2014 |
| Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Analysis |
| Principal Investigator: | Jaqueline Godoy Mesquita |
| Grantee: | Jaqueline Godoy Mesquita |
| Visiting researcher: | Hernan R. Henriquez |
| Visiting researcher institution: | Universidad de Santiago de Chile (USACH), Chile |
| Host Institution: | Faculdade de Filosofia, Ciências e Letras de Ribeirão Preto (FFCLRP). Universidade de São Paulo (USP). Ribeirão Preto , SP, Brazil |
| Associated research grant: | 13/17104-3 - Impulsive functional dynamic equations on time scales and applications, AP.JP |
Abstract
The main goal of this project is to investigate the controllability of singular systems on time scales. More precisely, we will study the system on time scales given by\begin{equation}\left\{\begin{array}{lll}M x^{\Delta} (t) = Ax(t) + Bu(t), \vspace{2mm}\\y(t) = C x(t),\end{array}\right.\end{equation}where $x(t) \in \mathbb R^n$, $u(t) \in \mathbb R^m$, $y(t) \in \mathbb R^r$, $M, A \in \mathbb R^{n \times n}$, $B \in \mathbb R^{n \times m}$ and $C \in \mathbb R^{r \times n}$ are constant matrices and $M$ is a singular matrix. Also, we will investigate the existence of solutions for homogeneous and nonhomogeneous singular systems on time scales. We apply the variation of constants formula to characterize the controllability of singular control systems on time scales in terms of its parameters. (AU)
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