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.
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Communicated by R. Conti
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.
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Pandolfi, L. On the regulator problem for linear degenerate control systems. J Optim Theory Appl 33, 241–254 (1981). https://doi.org/10.1007/BF00935549
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DOI: https://doi.org/10.1007/BF00935549