Stability-preserving Morse normal form

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21730%2F20%3A00344003" target="_blank" >RIV/68407700:21730/20:00344003 - isvavai.cz</a>

Výsledek na webu

<a href="https://doi.org/10.1109/TAC.2020.2967465" target="_blank" >https://doi.org/10.1109/TAC.2020.2967465</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1109/TAC.2020.2967465" target="_blank" >10.1109/TAC.2020.2967465</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Stability-preserving Morse normal form

Popis výsledku v původním jazyce

The Morse normal form of linear systems is a fundamental result of broad interest in systems and control theory. The form is canonical relative to the group of state feedback, output injection, and input-coordinate, output-coordinate and state-coordinate transformations. The complete system invariant under the action of this group consists of three lists of integers and one list of polynomials. Stability of the system, however, is not invariant under this action. In problems where stability matters one needs a more specific result, the stability-preserving Morse normal form. This new form applies to stable systems and it is canonical with respect to stability-preserving state feedback and stability-preserving output injection plus input-coordinate, output-coordinate, and state-coordinate transformations. The complete invariant is shown to consist of three lists of integers and two lists of polynomials, one having only stable zeros and the other one only unstable zeros. The canonical system representation consists of four subsystems three of which are ordered cascade realizations of prime building blocks and the fourth one realizes a Jordan block matrix.

Název v anglickém jazyce

Stability-preserving Morse normal form

Popis výsledku anglicky

The Morse normal form of linear systems is a fundamental result of broad interest in systems and control theory. The form is canonical relative to the group of state feedback, output injection, and input-coordinate, output-coordinate and state-coordinate transformations. The complete system invariant under the action of this group consists of three lists of integers and one list of polynomials. Stability of the system, however, is not invariant under this action. In problems where stability matters one needs a more specific result, the stability-preserving Morse normal form. This new form applies to stable systems and it is canonical with respect to stability-preserving state feedback and stability-preserving output injection plus input-coordinate, output-coordinate, and state-coordinate transformations. The complete invariant is shown to consist of three lists of integers and two lists of polynomials, one having only stable zeros and the other one only unstable zeros. The canonical system representation consists of four subsystems three of which are ordered cascade realizations of prime building blocks and the fourth one realizes a Jordan block matrix.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

Projekt

<a href="/cs/project/EF15_003%2F0000466" target="_blank" >EF15_003/0000466: Umělá inteligence a uvažování</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2020

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

IEEE Transactions on Automatic Control

ISSN

0018-9286

e-ISSN

1558-2523

Svazek periodika

65

Číslo periodika v rámci svazku

12

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

15

Strana od-do

5099-5113

Kód UT WoS článku

000595526300007

EID výsledku v databázi Scopus

2-s2.0-85097656268