Convex linear combination of the controllability pairs for linear systems

Kaczorek, Tadeusz; Klamka, Jerzy

doi:10.2478/candc-2021-0030

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Convex linear combination of the controllability pairs for linear systems

Control and Cybernetics

Volume 50 (2021): Issue 4 (December 2021)

By: Tadeusz Kaczorek and Jerzy Klamka

Open Access

|Jun 2022

Abstract

The convex linear combination of the controllability pairs of linear continuous-time linear systems is defined and its properties are discussed. The main result is obtained using pure algebraic methods. In the illustrative examples different cases of linear convex combinations are analyzed.

References

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DOI: https://doi.org/10.2478/candc-2021-0030 | Journal eISSN: 2720-4278 | Journal ISSN: 0324-8569

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Language: English

Page range: 541 - 551

Submitted on: Jun 1, 2021

Accepted on: Oct 1, 2021

Published on: Jun 27, 2022

Published by: Systems Research Institute Polish Academy of Sciences

In partnership with: Paradigm Publishing Services

Publication frequency: 4 issues per year

Keywords:

convex linear combination,

controllability,

linear system

Related subjects:

Computer sciences,

Computer sciences, other,

Engineering,

Electrical engineering,

Fundamentals of electrical engineering,

Mechanical engineering,

Fundamentals of mechanical engineering,

Mathematics,

General mathematics

© 2022 Tadeusz Kaczorek, Jerzy Klamka, published by Systems Research Institute Polish Academy of Sciences
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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