Time-varying systems and crossed products
Copyright policy )Time-varying systems and crossed products
Crossed product algebras are proposed as a framework for the study of input-output properties of linear time-varying systems. It is shown that internally stable systems with bounded continuous coefficients have transfer operators in a crossed product and conversely, that the set of all such transfer operators is dense in a crossed product. It is also shown that crossed product algebras admit causal additive decompositions, and allow a generalized frequency-domain representation.
- Texas Tech University United States
- The University of Texas System United States
time-dependent, Linear systems in control theory, Operator-theoretic methods, Topological algebras, normed rings and algebras, Banach algebras, Model systems in control theory
time-dependent, Linear systems in control theory, Operator-theoretic methods, Topological algebras, normed rings and algebras, Banach algebras, Model systems in control theory
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