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

Entropy 

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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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