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• W1974617506 abstract "We address the problem of fast system analysis and controller synthesis for heterogeneous subsystems interconnected in a loop. Such distributed systems have state-space realizations with a special matrix structure, which we show to be a generalization of the Sequentially Semi-Separable (SSS) structure employed in recent research on systems interconnected in a Cartesian array. By extending the O(N) structure-preserving SSS arithmetic to the matrices induced by this circular type of interconnection, we introduce a new cyclic SSS matrix structure and arithmetic which leads to fast and efficient procedures for linear computational complexity optimal distributed controller synthesis for arbitrarily heterogeneous subsystems connected in a loop. In the homogeneous case, where all subsystems are identical, the computational complexity reduces to O(1) and an interesting relationship with the infinite case is demonstrated. CSSS matrices can be non-Toeplitz (as compared to circulant matrices), a great expansion of domain, but when restricted to be Toeplitz (and thus circulant), the arithmetic reduces to O(1), a huge cost-savings. The procedures are demonstrated on two computational examples, using a freely available MATLAB toolbox implementation of these algorithms." @default.
• W1974617506 created "2016-06-24" @default.
• W1974617506 creator A5008521613 @default.
• W1974617506 creator A5091199557 @default.
• W1974617506 date "2013-08-01" @default.
• W1974617506 modified "2023-10-18" @default.
• W1974617506 title "Computational Methods for Distributed Control of Heterogeneous Cyclic Interconnection Structures" @default.
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• W1974617506 doi "https://doi.org/10.1109/tac.2013.2247699" @default.
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