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arxiv: 1703.04440 · v1 · pith:JQCF4IR7new · submitted 2017-03-13 · 🧮 math.NA

Computing the stochastic H^infty-norm

classification 🧮 math.NA
keywords norminftystochasticalgebraicbaseboundedcharacterisedcomputation
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The stochastic $H^\infty$-norm is defined as the $L^2$-induced norm of the input-output operator of a stochastic linear system. Like the deterministic $H^\infty$-norm it is characterised by a version of the bounded real lemma, but without a frequency domain description or a Hamiltonian condition. Therefore, we base its computation on a parametrised algebraic Riccati-type matrix equation.

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