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 |
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| container_title | Journal of optimization theory and applications |
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| creator | Sukavanam, N. Kumar, Surendra |
| description | 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. |
| doi_str_mv | 10.1007/s10957-011-9905-4 |
| format | Article |
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| subjects | 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 |
| title | Approximate Controllability of Fractional Order Semilinear Delay Systems |
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