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Induced Operator Norms

  • Marc A. Peters
  • Pablo A. Iglesias
Part of the Systems & Control: Foundations & Applications book series (SCFA)

Abstract

State-space characterizations of the H norm for linear time-invariant systems have been obtained for both continuous-time [16] and discretetime systems [52], by considering the connection between the norm bound ‖G < γ and the existence of spectral factors of the Hermitian function I−γ−2G~G. In this chapter we provide the analogous characterization for the induced norm of both discrete-time and hybrid linear time-varying systems in terms of operator algebraic Riccati equations.

Keywords

Riccati Equation Spectral Factorization Causal Operator Riccati Difference Equation Operator Riccati Equation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1997

Authors and Affiliations

  • Marc A. Peters
    • 1
  • Pablo A. Iglesias
    • 1
  1. 1.Dept. of Electrical & Computer EngineeringThe Johns Hopkins UniversityBaltimoreUSA

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