Finiteness in Infinite-Dimensional Systems Applied to Regulation.

摘要

After describing existing mathematical representations of linear infinite- dimensional systems, the authors consider the problem of regulating a system's output so that it tracks a given reference. Using a general operational framework possessing certain finiteness properties, we pursue a particular aspect of this problem by first considering the concept of bounded-time controllability. New results are then given on the construction of time-invariant input/output regulators that drive the output response(resulting from nonzero initial states) to the zero function in finite time. An example is given to illustrate that such regulators can be constructed by using ideal time delays in the feedback loop. (Author)