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Algebraic criteria of approximate controllability of retarded systems

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Analysis and Optimization of Systems

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 28))

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Abstract

The paper describes necessary and sufficient conditions of approximate controllability in Hilbert space Rn×L2 for general linear systems of retarded functional differential equations. These conditions generalize earlier results of [16], and are stated in an algebraic form. Similar conditions for F-controllability and observability are described. Proofs of these results are deferred to other papers [12][13].

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A. Bensoussan J. L. Lions

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Manitius, A. (1980). Algebraic criteria of approximate controllability of retarded systems. In: Bensoussan, A., Lions, J.L. (eds) Analysis and Optimization of Systems. Lecture Notes in Control and Information Sciences, vol 28. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0004036

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  • DOI: https://doi.org/10.1007/BFb0004036

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