Abstract
The main objective of this article is to present the state of the art concerning approximate controllability of dynamic systems in infinite-dimensional spaces. The presented investigation focuses on obtaining sufficient conditions for approximate controllability of various types of dynamic systems using Schauder's fixed-point theorem. We describe the results of approximate controllability for nonlinear impulsive neutral fuzzy stochastic differential equations with nonlocal conditions, impulsive neutral functional evolution integro-differential systems, stochastic impulsive systems with control-dependent coefficients, nonlinear impulsive differential systems, and evolution systems with nonlocal conditions and semilinear evolution equation.
| Original language | English |
|---|---|
| Pages (from-to) | 263-275 |
| Number of pages | 13 |
| Journal | International Journal of Applied Mathematics and Computer Science |
| Volume | 26 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 1 Jun 2016 |
Keywords
- Banach space
- Hilbert space
- Schauder's fixed-point theorem
- approximate controllability
- infinite-dimensional space.
ASJC Scopus subject areas
- Computer Science (miscellaneous)
- Engineering (miscellaneous)
- Applied Mathematics
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