A method for optimizing control-free costs in systems with linear controllers

Abstract
Optimization problems for n -dimensional systems with m linear controls and cost functions not explicitly dependent on the control variables are transformed into equivalent problems involving only ( n-m ) state variables and m controls, and cost functions which are dependent on the controls. The equivalent problems can be solved by standard techniques, but at a considerable computational advantage stemming from the reduced dimensionality. An illustrative example is worked out for a discrete linear system.

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