On a Class of Minimum Energy Controls Related to Spline Functions

Abstract
The problem of determining a minimum energy control for a dynamically interconnected set of p single-input single out-put finite-dimensional linear time-varying dynamical systems, for which the outputs are constrained to assume prescribed values at different points in time is considered. It is shown that the solution (optimal controller) is obtained by performing a linear operation on an appropriate vector-valued generalized interpolating spline.

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