Abstract
In this paper linear perturbation bounds are obtained for the linear matrix inequalities (LMI) arising in the discrete-time \(\cal H_{\infty}\) control problem. The sensitivity analysis of the perturbed LMI is carried out in a similar way as for perturbed matrix equations, after introducing a suitable right hand side which is slightly perturbed.
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Yonchev, A.S., Petkov, P.H., Christov, N.D., Konstantinov, M.M. (2009). On the Local Sensitivity of the Discrete-Time \(\cal H_{\infty}\) Control Problem. In: Margenov, S., Vulkov, L.G., Waśniewski, J. (eds) Numerical Analysis and Its Applications. NAA 2008. Lecture Notes in Computer Science, vol 5434. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-00464-3_71
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DOI: https://doi.org/10.1007/978-3-642-00464-3_71
Publisher Name: Springer, Berlin, Heidelberg
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