Decentralized control of interconnected linear systems with delayed states

Carlos E. de Souza

Kybernetika (2001)

  • Volume: 37, Issue: 3, page [309]-323
  • ISSN: 0023-5954

Abstract

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This paper addresses the problems of stability analysis and decentralized control of interconnected linear systems with constant time-delays in the state of each subsystems as well as in the interconnections. We develop delay- dependent methods of stability analysis and decentralized stabilization via linear memoryless state-feedback. The proposed methods are given in terms of linear matrix inequalities. Extensions of the decentralized stabilization result to more complex control problems, such as decentralized static output feedback, decentralized ℋ ∞ control, decentralized robust stabilization, and decentralized robust ℋ ∞ control are also discussed.

How to cite

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Souza, Carlos E. de. "Decentralized control of interconnected linear systems with delayed states." Kybernetika 37.3 (2001): [309]-323. <http://eudml.org/doc/33537>.

@article{Souza2001,
abstract = {This paper addresses the problems of stability analysis and decentralized control of interconnected linear systems with constant time-delays in the state of each subsystems as well as in the interconnections. We develop delay- dependent methods of stability analysis and decentralized stabilization via linear memoryless state-feedback. The proposed methods are given in terms of linear matrix inequalities. Extensions of the decentralized stabilization result to more complex control problems, such as decentralized static output feedback, decentralized $\{\mathcal \{H\}\}_\{\infty \}$ control, decentralized robust stabilization, and decentralized robust $\{\mathcal \{H\}\}_\{\infty \}$ control are also discussed.},
author = {Souza, Carlos E. de},
journal = {Kybernetika},
keywords = {time-delay; stability analysis; state-feedback; interconnected linear systems; robust stabilization; decentralized control; time-delay; stability analysis; state-feedback; interconnected linear systems; robust stabilization; decentralized control},
language = {eng},
number = {3},
pages = {[309]-323},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Decentralized control of interconnected linear systems with delayed states},
url = {http://eudml.org/doc/33537},
volume = {37},
year = {2001},
}

TY - JOUR
AU - Souza, Carlos E. de
TI - Decentralized control of interconnected linear systems with delayed states
JO - Kybernetika
PY - 2001
PB - Institute of Information Theory and Automation AS CR
VL - 37
IS - 3
SP - [309]
EP - 323
AB - This paper addresses the problems of stability analysis and decentralized control of interconnected linear systems with constant time-delays in the state of each subsystems as well as in the interconnections. We develop delay- dependent methods of stability analysis and decentralized stabilization via linear memoryless state-feedback. The proposed methods are given in terms of linear matrix inequalities. Extensions of the decentralized stabilization result to more complex control problems, such as decentralized static output feedback, decentralized ${\mathcal {H}}_{\infty }$ control, decentralized robust stabilization, and decentralized robust ${\mathcal {H}}_{\infty }$ control are also discussed.
LA - eng
KW - time-delay; stability analysis; state-feedback; interconnected linear systems; robust stabilization; decentralized control; time-delay; stability analysis; state-feedback; interconnected linear systems; robust stabilization; decentralized control
UR - http://eudml.org/doc/33537
ER -

References

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