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Journal of Computer and Systems Sciences International

Erschienen in:

01.01.2020 | CONTROL IN DETERMINISTIC SYSTEMS

Controlling the Spectrum of Linear Completely Regular Differential-Algebraic Systems with Delays

verfasst von: V. E. Khartovskii

Erschienen in: Journal of Computer and Systems Sciences International | Ausgabe 1/2020

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Abstract

For linear autonomous completely regular differential-algebraic systems with commensurable delays in the state and control, we study the control problem for the spectrum, treating it as follows: each characteristic quasi-polynomial given in advance is assigned to the system by closing it by a differential-difference controller. We formulate modal controllability problems and weak controllability problems: they characterize various control possibilities for the spectrum of the original system. Reducing the investigated system to a special form, we obtain the necessary and sufficient solvability conditions for the specified problems. The proof of the main assertions is constructive: for each particular system with the given number matrices, we can construct the corresponding controller. We provide illustrative examples.

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Titel: Controlling the Spectrum of Linear Completely Regular Differential-Algebraic Systems with Delays
verfasst von: V. E. Khartovskii
Publikationsdatum: 01.01.2020
Verlag: Pleiades Publishing
Erschienen in: Journal of Computer and Systems Sciences International / Ausgabe 1/2020
Print ISSN: 1064-2307
Elektronische ISSN: 1555-6530
DOI: https://doi.org/10.1134/S1064230720010086

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