Positive state controllability of discrete linear time-invariant systems

• Autorzy: Ouyadri Mourad , Laabissi Mohamed , Achhab Mohammed Elarbi

Identyfikatory

DOI

10.2478/ama-2024-0014

• Języki publikacji: EN

Abstrakty

EN

Positive state controllability is the controllability of systems where the state is positive and the input remains in ℝn. Under some conditions, we established a relation between the reachability map of systems with only the positive state and the reachability map of a related positive system where the state and input are both positive. Using this connection, necessary and sufficient conditions are obtained for the positive state reachability of discrete linear time-invariant (LTI) systems, and then we deduced the positive state controllability. These conditions are evaluated over some numerical examples that support the theoretical results.

Słowa kluczowe

EN

discrete LTI systems; controllability; reachability map; positive control; positive state controllability

• Wydawca: Oficyna Wydawnicza Politechniki Białostockiej
• Czasopismo: Acta Mechanica et Automatica
• Rocznik: 2024
• Tom: Vol. 18, no. 1
• Strony: 110--118
• Opis fizyczny: Bibliogr. 22 poz.

Twórcy

autor

Ouyadri Mourad

• Faculty of Sciences, Department of Mathematics, Chouaib Doukkali University, BP.20, 24000 El Jadida, Morocco

• https://orcid.org/0009-0009-3297-8576

autor

Laabissi Mohamed

• Faculty of Sciences, Department of Mathematics, Chouaib Doukkali University, BP.20, 24000 El Jadida, Morocco

• https://orcid.org/0000-0001-8287-1034

autor

Achhab Mohammed Elarbi

• Faculty of Sciences, Department of Mathematics, Chouaib Doukkali University, BP.20, 24000 El Jadida, Morocco

• https://orcid.org/0000-0003-4361-4347

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