Mathematical systems theory

, Volume 17, Issue 1, pp 217–241 | Cite as

Time-varying systems and crossed products

  • John Murray
Article
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Abstract

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.

Keywords

Computational Mathematic Stable System Transfer Operator Product Algebra Additive Decomposition 
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Copyright information

© Springer-Verlag New York Inc 1984

Authors and Affiliations

  • John Murray
    • 1
  1. 1.Department of Electrical EngineeringTexas Tech UniversityLubbockUSA

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