1987SIAM Journal on Control and OptimizationRequires access

Controllability of Semilinear Control Systems Dominated by the Linear Part

Koichiro Naito

Open publisher page 248 citations

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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What this paper is about

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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OpenAlex reports 248 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available 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.

Key concepts: Controllability, Linear control systems, Mathematics, Simple (philosophy), Control theory (sociology), Controllability Gramian, Linear system, Control (management)

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