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This paper proposes a direct, and simple approach to the H infinity norm calculation in more general settings.
S. Boyd and V. Balakrishnan, “A regularity result for the singular values of a transfer matrix and a quadratically convergent algorithm for computing its l ∞ l_{\infty} -norm,” Systems & Control Letters , vol. 15, no. 1, pp. 1–7, 1990
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N. Bruinsma and M. Steinbuch, “A fast algorithm to compute the H ∞ H_{\infty} –norm of a transfer function matrix,” Systems & Control Letters , vol. 14, no. 4, pp. 287–293, 1990
1990
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C. Scherer, “ H ∞ H_{\infty} –control by state–feedback and fast algorithms for the computation of optimal H ∞ H_{\infty} -norms,” Automatic Control, IEEE Transactions on , vol. 35, no. 10, pp. 1090–1099, 1990
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S. P. Boyd, L. El Ghaoui, E. Feron, and V. Balakrishnan, Linear matrix inequalities in system and control theory . SIAM, 1994, vol. 15
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K. Zhou, K. Glover, B. Bodenheimer, and J. Doyle, “Mixed ℋ 2 \mathcal{H}_{2} and ℋ ∞ \mathcal{H}_{\infty} performance objectives. I. Robust performance analysis,” Automatic Control, IEEE Transactions on , vol. 39, no. 8, pp. 1564–1574, 1994
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K. Zhou, J. C. Doyle, K. Glover et al. , Robust and optimal control . Prentice Hall New Jersey, 1996, vol. 272
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A. Rantzer, “On the Kalman–Yakubovich–Popov lemma,” Systems & Control Letters , vol. 28, no. 1, pp. 7–10, 1996
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G. E. Dullerud and F. Paganini, A course in robust control theory . Springer New York, 2000
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T. Iwasaki, G. Meinsma, and M. Fu, “Generalized S–procedure and finite frequency KYP lemma,” Mathematical Problems in Engineering , vol. 6, no. 2-3, pp. 305–320, 2000
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Cited alongside, same era.
V. Balakrishnan and L. Vandenberghe, “Semidefinite programming duality and linear time-invariant systems,” Automatic Control, IEEE Transactions on , vol. 48, no. 1, pp. 30–41, 2003
2003
Later among the works it cites.
S. P. Boyd and L. Vandenberghe, Convex optimization . Cambridge university press, 2004
2004
Later among the works it cites.
T. Iwasaki and S. Hara, “Generalized KYP lemma: unified frequency domain inequalities with design applications,” Automatic Control, IEEE Transactions on , vol. 50, no. 1, pp. 41–59, 2005
2005
Later among the works it cites.
A. Gattami and B. Bamieh, “A Simple Approach to H ∞ H_{\infty} Analysis,” in Decision and Control, 2013 52th IEEE Conference on
2013
Later among the works it cites.
S. You and J. Doyle, “A Lagrangian Dual Approach to the Generalized KYP Lemma,” in Decision and Control, 2013 52th IEEE Conference on
2013
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