On a class of operators on Hilbert space with applications to factorization and systems theory
A class of operators is defined in a Hilbert resolution space setting that offers a new perspective on problems of causal invertibility, special factorization, and the theory of quadratic cost optimization problems for dynamical systems. The major results include an extension of the special factorization to a class of noncompact operators and the definition of an abstract state space. These results are then used to obtain an optimal feedback solution to an abstract linear regular- quadratic cost problem.
quadratic cost optimization problems for dynamical systems
abstract linear regular- quadratic cost problem
scientific article; zbMATH DE number 4003989