Abstract
The main aim of this article is to review the existing state of art concerning the complete controllability of semilinear dynamical systems. The study focus on obtaining the sufficient conditions for the complete controllability for various systems using the Banach fixed-point theorem. We describe the results for stochastic semilinear functional integro-differential system, stochastic partial differential equations with finite delays, semilinear functional equations, a stochastic semilinear system, a impulsive stochastic integro-differential system, semilinear stochastic impulsive systems, an impulsive neutral functional evolution integro-differential system and a nonlinear stochastic neutral impulsive system. Finally, two examples are presented.
| Original language | English |
|---|---|
| Pages (from-to) | 21-35 |
| Number of pages | 15 |
| Journal | Bulletin of the Polish Academy of Sciences: Technical Sciences |
| Volume | 64 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - Mar 2016 |
Keywords
- Banach space
- Complete controllability
- Fixed-point
- Hilbert space
- Infinite-dimensional space
ASJC Scopus subject areas
- Information Systems
- Atomic and Molecular Physics, and Optics
- General Engineering
- Computer Networks and Communications
- Artificial Intelligence
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