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.
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© 1997 Springer Science+Business Media New York
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Peters, M.A., Iglesias, P.A. (1997). Induced Operator Norms. In: Minimum Entropy Control for Time-Varying Systems. Systems & Control: Foundations & Applications. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-1982-8_3
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DOI: https://doi.org/10.1007/978-1-4612-1982-8_3
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-1-4612-7366-0
Online ISBN: 978-1-4612-1982-8
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