# A necessary and sufficient condition for static output feedback stabilizability of linear discrete-time systems

Danica Rosinová; Vojtech Veselý; Vladimír Kučera

Kybernetika (2003)

- Volume: 39, Issue: 4, page [447]-459
- ISSN: 0023-5954

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topRosinová, Danica, Veselý, Vojtech, and Kučera, Vladimír. "A necessary and sufficient condition for static output feedback stabilizability of linear discrete-time systems." Kybernetika 39.4 (2003): [447]-459. <http://eudml.org/doc/33656>.

@article{Rosinová2003,

abstract = {Necessary and sufficient conditions for a discrete-time system to be stabilizable via static output feedback are established. The conditions include a Riccati equation. An iterative as well as non-iterative LMI based algorithm with guaranteed cost for the computation of output stabilizing feedback gains is proposed and introduces the novel LMI approach to compute the stabilizing output feedback gain matrix. The results provide the discrete- time counterpart to the results by Kučera and De Souza.},

author = {Rosinová, Danica, Veselý, Vojtech, Kučera, Vladimír},

journal = {Kybernetika},

keywords = {discrete-time systems; output feedback; stabilizability; stabilizing feedback; Riccati equations; LMI approach; discrete-time system; output feedback; stabilizability; stabilizing feedback; Riccati equation; LMI approach},

language = {eng},

number = {4},

pages = {[447]-459},

publisher = {Institute of Information Theory and Automation AS CR},

title = {A necessary and sufficient condition for static output feedback stabilizability of linear discrete-time systems},

url = {http://eudml.org/doc/33656},

volume = {39},

year = {2003},

}

TY - JOUR

AU - Rosinová, Danica

AU - Veselý, Vojtech

AU - Kučera, Vladimír

TI - A necessary and sufficient condition for static output feedback stabilizability of linear discrete-time systems

JO - Kybernetika

PY - 2003

PB - Institute of Information Theory and Automation AS CR

VL - 39

IS - 4

SP - [447]

EP - 459

AB - Necessary and sufficient conditions for a discrete-time system to be stabilizable via static output feedback are established. The conditions include a Riccati equation. An iterative as well as non-iterative LMI based algorithm with guaranteed cost for the computation of output stabilizing feedback gains is proposed and introduces the novel LMI approach to compute the stabilizing output feedback gain matrix. The results provide the discrete- time counterpart to the results by Kučera and De Souza.

LA - eng

KW - discrete-time systems; output feedback; stabilizability; stabilizing feedback; Riccati equations; LMI approach; discrete-time system; output feedback; stabilizability; stabilizing feedback; Riccati equation; LMI approach

UR - http://eudml.org/doc/33656

ER -

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