Controllability of Semilinear Control Systems Dominated by the Linear Part
Koichiro Naito
Abstract
Koichiro Naito
Abstract
While various equivalent conditions for controllability have been obtained in the case of linear control systems, controllability problems of semilinear control systems usually require some complicated and limited assumptions. In this paper we show the approximate controllability of an abstract semilinear control system under the assumption, which has a simple form and can be easily checked in many examples.
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While various equivalent conditions for controllability have been obtained in the case of linear control systems, controllability problems of semilinear control systems usually require some complicated and limited assumptions. In this paper we show the approximate controllability of an abstract semilinear control system under the assumption, which has a simple form and can be easily checked in many examples.
Key concepts: Controllability, Linear control systems, Mathematics, Simple (philosophy), Control theory (sociology), Controllability Gramian, Linear system, Control (management)