Titlebook: Geometric Control of Patterned Linear Systems; Sarah C. Hamilton,Mireille E. Broucke Book 2012 Springer-Verlag Berlin Heidelberg 2012 Cont

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https://doi.org/10.1007/978-94-009-8021-1problems for patterned systems using the geometric approach. Some possibilities include the restricted regulator problem with internal stability and non-interaction problems. Optimal control is another important problem that needs to be addressed for general patterned systems, although the geometric

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Sarah C. Hamilton,Mireille E. BrouckeAiming at researchers in systems control, especially in multiagent systems, distributed and decentralized control, and structured systems.No prior background in geometric control theory is assumed.Inc

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Introduction,he state, input and output transformations of the linear state space model are all functions of a common base transformation. The motivation for studying such systems is that they can be viewed as a collection of subsystems with a pattern of interaction between subsystems that is imprinted by the ba

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System Propertiese vector of inputs, and .(.) ∈ ℝ. is the vector of outputs. Assume a real system with matrices A ∈ ℝ., B ∈ ℝ. and C ∈ ℝ.. If we denote the state space, input space and output space by ., . and ., respectively, then the system transformations are . : . → ., . : . → . and . : . → .. We refer to such a

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Ring Systemsound in natural and man-made systems. Mathematically, ring systems can be referred to as circulant systems, because the matrices in a state space model of a ring have a circulant, or more generally block circulant, form. Circulant systems are probably the most prominent class [69] we have identified

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