Abstract
In the paper infinite-dimensional stationary dynamical control systems described by semilinear abstract differential equations are considered. Using a generalized open mapping theorem, sufficient conditions for constrained exact controllability are formulated and proved. It is generally assumed that the values of controls are in a convex and closed cone with vertex at zero. As an illustrative example, constrained exact local controllability problem for semilinear retarded dynamical system is solved in detail. Some remarks and comments on the existing results for controllability of nonlinear dynamical systems are also presented.
| Original language | English |
|---|---|
| Pages (from-to) | 2939-2949 |
| Number of pages | 11 |
| Journal | Nonlinear Analysis, Theory, Methods and Applications |
| Volume | 47 |
| Issue number | 5 |
| DOIs | |
| Publication status | Published - Aug 2001 |
Keywords
- Abstract systems
- Constrained controls
- Controllability
- Nonlinear systems
- Semilinear systems
ASJC Scopus subject areas
- Analysis
- Applied Mathematics
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