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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
Summary:
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.
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