It is shown in this note that the Lemma in Kashlan and Geneidy (1996) is not correct. Moreover, two kinds of decentralized pole assignment problems for symmetrically interconnected systems are studied and lower-dimensional necessary and sufficient conditions for the problems to be solvable are presented. © 1998 Elsevier Science Ltd. All rights reserved.
The structural properties of circulant composite systems is studied. It is shown that the structural controllability and existence of structurally fixed modes for such a system can be determined by the corresponding properties of its modified subsystem.
Huang, S. & Zhang, S. 1998, 'The solving of Riccati equations for large-scale systems with symmetric circulant structure', Kongzhi Lilun Yu Yingyong/Control Theory and Applications, vol. 15, no. 1.
This paper discusses the solving of the algebraic Riccati equations and the Lyapunov matrix equations for large-scale systems with symmetric circulant structure. It is shown that the solving of the algebraic Riccati equations and the Lyapunov matrix equations for such a system can be simplified by solving N/2+1 independent equations of dimension N times smaller than the original equations. As an application, the problems of the linear quadratic optimal control and the robust linear quadratic optimal control for such a system can also be simplified.
Huang, S. & Zhang, S. 1998, 'Decentralized fault tolerant stabilization for symmetric composite systems', Proceedings of the American Control Conference, pp. 2477-2480.
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This paper discusses a class of large-scale systems composed of symmetrically interconnected identical subsystems. The decentralized fault tolerant stabilization problem for such a system is studied. An easily tested necessary and sufficient condition for the decentralized controller of the system to be fault tolerant is presented and a design procedure is given. © 1998 AACC.