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In this work will be presented an approach to solve linear quadratic optimal control whose initial condition has unrestrained uncertainty of interval type. For this purpose, use shall be made of the concept of integral equation and an example will be developed to illustrate this technique. Keywordsoptimal control, interval initial condition Resumo-Neste trabalho será apresentado uma abordagem para resolver problemas de controleótimo quadrático linear irrestrito cuja condição inicial possuidoi:10.5540/03.2013.001.01.0135 fatcat:dwnzawiuoncjrejyrr4l2fv7fu