Decentralized control of interconnected linear systems with delayed states
Kybernetika, Tome 37 (2001) no. 3, pp. 309-323 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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 ${\cal H}_{\infty }$ control, decentralized robust stabilization, and decentralized robust ${\cal H}_{\infty }$ control are also discussed.
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 ${\cal H}_{\infty }$ control, decentralized robust stabilization, and decentralized robust ${\cal H}_{\infty }$ control are also discussed.
Classification : 93A14, 93B36, 93C23, 93D09
Keywords: time-delay; stability analysis; state-feedback; interconnected linear systems; robust stabilization; decentralized control
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     title = {Decentralized control of interconnected linear systems with delayed states},
     journal = {Kybernetika},
     pages = {309--323},
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     url = {http://geodesic.mathdoc.fr/item/KYB_2001_37_3_a7/}
}
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de Souza, Carlos E. Decentralized control of interconnected linear systems with delayed states. Kybernetika, Tome 37 (2001) no. 3, pp. 309-323. http://geodesic.mathdoc.fr/item/KYB_2001_37_3_a7/

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