Riesz-thorin and the l_p stability of nonlinear time varying feedback systems

References

• Beckenbach , E.F. and Bellman , R. 1961 . Inequalities , Berlin : Springer Verlag .
   Google Scholar
• Hobson , E.W. 1927 . “ The Theory of Functions of a Real Variable ” . Vol. 1 , London : Cambridge University Press .
   Google Scholar
• Mossaheb , S. 1982 . The circle condition and the L -stability of feedback systems . SIAM Journal on Control , 20 : 144 – 152 .
   Google Scholar
• Polya , G. and Szego , G. 1972 . Problems and Thorems in Analysis , Vol. 1 , New York : Springer Verlag .
   Google Scholar
• Reed , M. and Simon , B. 1975 . Methods of Modern Mathematical Physics , Vol. 2 , New York : Academic Press .
   Google Scholar
• Sandberg , I.W. 1964 . A frequency domain condition for the stability of feedback systems containing a single time varying element . Bell System Tech.J. , 43 : 1601 – 1608 .
   Google Scholar
• Stein , E.M. and Welss , G. 1971 . Introduction to Fourier Analysis on Euclidean Spaces , Princeton, NJ : Princeton University Press .
   Google Scholar
• Venkatesh , Y.V. 1978 . Global variation criteria for the L2stability of nonlinear time varying systems . SIAM 3.Math.Anal. , 9 : 568 – 581 . Energy Methods in Time Varying Stability and Instability Analyses, Vol.68, Lecture Notes in Physics, Springer Verlag, Heidelberg-Berlin,1977.
   Google Scholar
• Wiillems , J.C. 1969 . Some results on the LPstability of linear time varying systems . IEEE Trans. Automatic Control , AC-14 : 660 – 665 .
   Google Scholar
• Zames , G. . On the stability of nonlinear time varying feedback systems . Proc. National Electronic Conference . Vol. 20 , pp. 725 – 730 .
   Google Scholar