Abstract
In this paper, relative controllability of impulsive multi-delay differential systems in finite dimensional space are studied. By introducing the impulsive multi-delay Gramian matrix, a necessary and sufficient condition, and the Gramian criteria, for the relative controllability of linear systems is given. Using Krasnoselskii’s fixed point theorem, a sufficient condition for controllability of semilinear systems is obtained. Numerically examples are given to illustrate our theoretically results.
| Original language | English |
|---|---|
| Pages (from-to) | 70-90 |
| Number of pages | 21 |
| Journal | Nonlinear Analysis: Modelling and Control |
| Volume | 27 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 1 Jan 2022 |
Keywords
- Impulsive multi-delay differential systems
- Impulsive multi-delay Gramian matrix
- Relative controllability
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