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On the regulator problem for linear degenerate control systems
Authors:L Pandolfi
Institution:(1) Mathematical Institute, University of Florence, Florence, Italy;(2) Present address: Politecnico di Torino, Istituto Matematico, Torino, Italy
Abstract:In this paper, we study the finite-time regulator problem for linear, autonomous, degenerate systems, i.e., systems described by the differential equation 
$$K\dot x = Ax + Bu(t)$$
with det(K)=0. Two investigations of the regulator problem are presented, which depend on the quadratic cost associated with the differential equation.This work was performed under the auspices of the National Research Council of Italy, Gruppo Nazionale per l'Analisi Funzionale e le Sue Applicazioni, Rome, Italy.
Keywords:Differential equations  linear-quadratic problems  linear systems  regulator problem
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