Induced Operator Norms
State-space characterizations of the H∞ norm for linear time-invariant systems have been obtained for both continuous-time  and discretetime systems , 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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