Name
Title | ||
|---|---|---|
Controllability Of Semilinear Impulsive Control Systems With Multiple Time Delays In Control |
Abstract | ||
|---|---|---|
In this article, we study the controllability of finite-dimensional dynamical control systems modelled by semilinear impulsive ordinary differential equations with multiple constant time delays in the control function. Initially, we recall a necessary and sufficient condition for the controllability of the corresponding linear system without impulses, with multiple constant time delays in the control function in terms of a matrix rank condition. Then under some sufficient conditions, we show that the actual system is also controllable for certain classes of non-linearities and impulse functions. We employ Schauder fixed-point theorem and Banach contraction mapping principle to establish the results. Our obtained results are applicable for both autonomous and non-autonomous systems. An example is given to illustrate the theoretical results. |
Year | DOI | Venue |
|---|---|---|
2019 | 10.1093/imamci/dny011 | IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION |
Keywords | Field | DocType |
controllability, impulsive systems, time delays, Schauder fixed-point theorem, Banach contraction mapping principle | Controllability,Control theory,Control system,Mathematics | Journal |
Volume | Issue | ISSN |
36 | 3 | 0265-0754 |
Citations | PageRank | References |
0 | 0.34 | 3 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Vijayakumar S. Muni | 1 | 0 | 0.68 |
| R.K. George | 2 | 10 | 3.45 |