A continuation algorithm for eigenvalue assignment by decentralized constant-output feedback

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Abstract
This paper describes a continuation approach to eigenvalue assignment by decentralized constant-output feedback for interconnected systems. The method is a homotopy technique which embeds the decentralized control problem into a parametrized family of control problems. The parametrization is based on the system interconnection structure, and represents a continuous deformation of a system consisting of the uncoupled subsystems into the original system with full interconnections. Based on such a deformation, a differential equation is constructed whose solution trajectory has an endpoint which is a decentralized constant-output feedback matrix assigning the desired spectrum to the interconnected system. The derivation of the differential equation and considerations which guarantee the existence of a solution are given. Two examples are presented.

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