Geodesic
Decentralized control of interconnected linear systems with delayed states
Kybernetika, Tome 37 (2001) no. 3, p. [309].

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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.
Classification : 93A14, 93B36, 93C23, 93D09
Keywords: time-delay; stability analysis; state-feedback; interconnected linear systems; robust stabilization; decentralized control 
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     author = {de Souza, Carlos E.},
     title = {Decentralized control of interconnected linear systems with delayed states},
     journal = {Kybernetika},
     pages = {[309]},
     publisher = {mathdoc},
     volume = {37},
     number = {3},
     year = {2001},
     mrnumber = {1859088},
     zbl = {1265.93006},
     language = {en},
     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, p. [309]. http://geodesic.mathdoc.fr/item/KYB_2001__37_3_a7/