On Decentralized Stabilization of Linear Large Scale Systems With Symmetric Circulant Structure

JIN Chao-yong; ZHANG Xiang-wei

Volume 25 Issue 8

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Article Navigation > Applied Mathematics and Mechanics > 2004 > 25(8): 787-795

JIN Chao-yong, ZHANG Xiang-wei. On Decentralized Stabilization of Linear Large Scale Systems With Symmetric Circulant Structure[J]. Applied Mathematics and Mechanics, 2004, 25(8): 787-795.

Citation:

JIN Chao-yong, ZHANG Xiang-wei. On Decentralized Stabilization of Linear Large Scale Systems With Symmetric Circulant Structure[J]. Applied Mathematics and Mechanics, 2004, 25(8): 787-795.

Citation:

JIN Chao-yong, ZHANG Xiang-wei. On Decentralized Stabilization of Linear Large Scale Systems With Symmetric Circulant Structure[J]. Applied Mathematics and Mechanics, 2004, 25(8): 787-795.

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On Decentralized Stabilization of Linear Large Scale Systems With Symmetric Circulant Structure

JIN Chao-yong¹,
ZHANG Xiang-wei²

1.
College of Applied Mathematics, Guangdong University of Technology, Guangzhou 510090, P. R. China;

Received Date: 2002-11-25
Rev Recd Date: 2004-04-16
Publish Date: 2004-08-15

Abstract

Abstract

The decentralized stabilization of continuous and discrete linear large scale systems with symmetric circulant structure was studied. A few sufficient conditions on decentralized stabilization of such systems were proposed. For the continuous systems, by introducing a concept called the magnitude of interconnected structure, a very important property that the decentralized stabilization of such systems is fully determined by the structure of each isolated subsystem that is obtained when the magnitude of interconnected structure of the overall system is given. So the decentralized stabilization of such systems can be got by only appropriately designing or modifying the structure of each isolated subsystem, no matter how complicated the interconnected structure of the overall system is. A algorithm for obtaining decentralized state feedback to stabilize the overall system is given. The discrete systems were also discussed. The results show that there is a great dfference on decentralized stabilization between continuous case and discrete case.
- large scale system,
- decentralized stabilization,
- symmetric circulant structure,
- magnitude of interconnected structure,
- Ricatti equation

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References(9)

References

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