Approximate Controllability of Fractional Order Semilinear Delay Systems

Approximate Controllability of Fractional Order Semilinear Delay Systems

In this paper, the approximate controllability for a class of semilinear delay control systems of fractional order is proved under the natural assumption that the linear system is approximately controllable. The existence and uniqueness of the mild solution is also proved under suitable assumptions....

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Veröffentlicht in:Journal of optimization theory and applications 2011-11, Vol.151 (2), p.373-384
Hauptverfasser: Sukavanam, N., Kumar, Surendra
Format: Artikel
Sprache:eng
Schlagworte:
Applications of Mathematics
Approximation
Banach spaces
Calculus of Variations and Optimal Control
Optimization
Control systems
Controllability
Delay
Engineering
Linear systems
Mathematics
Mathematics and Statistics
Operations Research/Decision Theory
Optimization
Stability
Studies
Theory of Computation
Uniqueness
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Beschreibung
Zusammenfassung:In this paper, the approximate controllability for a class of semilinear delay control systems of fractional order is proved under the natural assumption that the linear system is approximately controllable. The existence and uniqueness of the mild solution is also proved under suitable assumptions. An example is given to illustrate our main results.
ISSN:0022-3239
1573-2878
DOI:10.1007/s10957-011-9905-4