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DECENTRALIZED STABILIZATION OF A CLASS OF INTERCONNECTED SYSTEMS 被引量:2

DECENTRALIZED STABILIZATION OF A CLASS OF INTERCONNECTED SYSTEMS
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摘要 This paper is concerned with the decentralized stabilization of continuous and discrete linear interconnected systems with the structural constraints about the interconnection matrices. For the continuous case,the main improvement in the paper as compared with the corresponding results in the literature is to extend the considered class of systems from S to S (both will be defined in the paper) without resulting in high decentralized gain and difficult numerical computation. The algorithm for obtaining decentralized state feedback control to stable the overall system is presented. The discrete case and some very useful results are discussed as well. This paper is concerned with the decentralized stabilization of continuous and discrete linear interconnected systems with the structural constraints about the interconnection matrices. For the continuous case,the main improvement in the paper as compared with the corresponding results in the literature is to extend the considered class of systems from S to S (both will be defined in the paper) without resulting in high decentralized gain and difficult numerical computation. The algorithm for obtaining decentralized state feedback control to stable the overall system is presented. The discrete case and some very useful results are discussed as well.
出处 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2001年第3期330-338,共9页 高校应用数学学报(英文版)(B辑)
基金 National Natural Science Foundation of China(1 970 1 0 2 2 )
关键词 Interconnected systems decentralized stabilization Riccati equation Lyapunov function. Interconnected systems, decentralized stabilization, Riccati equation, Lyapunov function.
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  • 1Sezer, M. E., Huseyin, O.,Stabilization of linear time-invariant interconnected systems using local statefeedback,IEEE Trans. Syst. Man Cyber.,Vol. SMC, 1978,8:751.
  • 2Ikeda,M.,Siljak,D. D.,Decentralized stabilization of linear time-invaryingsystems,IEEE Trans. Automat. Control,Vol. AC, 1980,25:106-107.
  • 3Geromel,J. C.,Yamakami,A.,Stabilization of continuous and discrete linear systemssubject to control structure constraints, Internat. J. Control, 1982,36(3):429-444.
  • 4Lee,T. N.,Radovic,U. L.,Decentralized stabilization of linear continuous anddiscrete-time systems with delays in interconnections, IEEE Trans. Automat. Control,1988,33:757-761.

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