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Automatica
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Solutions of differential–algebraic equations as outputs of LTI systems: Application to LQ control problems

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Abstract

In this paper we propose a unified geometric framework for representing all solutions of a Linear Time Invariant Differential–Algebraic Equation (DAE-LTI) as outputs of classical Linear Time Invariant Ordinary Differential Equations (ODE-LTI). The proposed framework is then used to solve an LQ optimal control problem for DAE-LTIs with rectangular matrices.

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Automatica

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