The Model-Matching Error and Optimal Solution in Locally Convex Space

Abstract

The model-matching error and the optimal solution in the Hardy space are extended to the locally convex space, and the  model-matching error and the optimal solution in the locally convex space are achieved. Thereby the ordinary -control theory is extended to with range in locally convex spaces through a form of a parameter vector. The algorithms of computing the infimal model-matching error and the infimal controller are presented.