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On a class of minimum energy controls related to spline functions

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2 Author(s)
Netravali, A. ; Bell Laboratories, Holmdel, NJ, USA ; de Figueiredo, R.

The problem of determining a minimum energy control for a dynamically interconnected set of p single input-single output 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.

Published in:

Automatic Control, IEEE Transactions on  (Volume:21 ,  Issue: 5 )