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International Journal of Control Volume 49, 1989 - Issue 6
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Original Articles

Structured and simultaneous Lyapunov functions for system stability problems

Stephen Boyd Electrical Engineering Department, Stanford University, Stanford, California, 94305, U.S.A
&
Qinping Yang Electrical Engineering Department, Stanford University, Stanford, California, 94305, U.S.A
Pages 2215-2240 | Received 23 May 1988, Published online: 01 Apr 2008

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Rodrigo H. Ordóñez-Hurtado, Wynita M. Griggs & Robert N. Shorten. (2013) On interconnected systems, passivity and some generalisations. International Journal of Control 86:12, pages 2274-2289.
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S. Boyarski & U. Shaked . (2004) Discrete-time H ∞ and H 2 control with structured disturbances and probability-relaxed requirements. International Journal of Control 77:14, pages 1243-1259.
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Robert N. Shorten, Oliver Mason, Fiacre O’Cairbre & Paul Curran. (2004) A unifying framework for the SISO circle criterion and other quadratic stability criteria. International Journal of Control 77:1, pages 1-8.
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D. Arzelier, D. Henrion & D. Peaucelle. (2002) Robust D stabilization of a polytope of matrices. International Journal of Control 75:10, pages 744-752.
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Payman Sadegh, Lars H. Hansen, Henrik Madsen & Jan Holst. (1998) Input design for linear dynamic systems using maxmin criteria. Journal of Information and Optimization Sciences 19:2, pages 223-240.
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GERMAIN GARCIA, JACQUES BERNUSSOU & DENIS ARZELIER. (1996) Stabilization of an uncertain linear dynamic system by state and output feedback: a quadratic stabilizability approach. International Journal of Control 64:5, pages 839-858.
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ALBERTW. LEE & J. KARL HEDRICK. (1995) Some new results on closed-loop stability in the presence of control saturation. International Journal of Control 62:3, pages 619-631.
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KEQIN GU. (1995) The algorithms for studying the trade-offs between H∞ attenuation and uncertainty tolerance. International Journal of Control 61:4, pages 823-836.
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PAULF. CURRAN. (1993) Proof of the circle criterion for state space systems via quadratic Lyapunov functions—Part 1. International Journal of Control 57:4, pages 921-955.
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