Stability Conditions for Systems with Monotone and Slope-Restricted Nonlinearities

Previous article Next article Stability Conditions for Systems with Monotone and Slope-Restricted NonlinearitiesG. Zames and P. L. FalbG. Zames and P. L. Falbhttps: //doi. org/10. 1137/0306007PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout1 A. I. Lur'e, Some Nonlinear Problems in the Theory of Automatic Control, Her Majesty's Stationery office, London, 1957 Google Scholar2 V. -M. Popov, Absolute stability of nonlinear systems of automatic control, Automat. Remote Control, 22 (1961), 857–875 MR0133563 0107. 29601 Google Scholar3A G. Zames, On the stability of nonlinear, time-varying feedback systems, Proc. National Electronics Conference, Vol. 20, 1964, 725–730 Google Scholar3B G. Zames, On the input-output stability of time-varying nonlinear feedback systems, Parts I, II, IEEE Trans. Automatic Control, AC-11 (1966), 228--238, 465--476 10. 1109/TAC. 1966. 1098316 CrossrefISIGoogle Scholar4 R. W. Brockett and, J. W. 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Titchmarsh, Introduction to the Theory of Fourier Integrals, Oxford University Press, Oxford, 1964 Google Scholar Previous article Next article FiguresRelatedReferencesCited ByDetails The Energy Technique for the Six-Step BDF MethodGeorgios Akrivis, Minghua Chen, Fan Yu, and Zhi ZhouSIAM Journal on Numerical Analysis, Vol. 59, No. 5 | 23 September 2021AbstractPDF (629 KB) Analysis and Design of Optimization Algorithms via Integral Quadratic ConstraintsSIAM Journal on Optimization, Vol. 26, No. 1 | 7 January 2016AbstractPDF (647 KB) Delay-Integral-Quadratic Constraints and Absolute Stability of Time-Periodic Feedback SystemsSIAM Journal on Control and Optimization, Vol. 47, No. 6 | 7 January 2009AbstractPDF (236 KB) Global Variation Criteria for the L₂ -Stability of Nonlinear Time Varying SystemsSIAM Journal on Mathematical Analysis, Vol. 9, No. 3 | 17 February 2012AbstractPDF (1206 KB) Hilbert Networks. 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