References
- Ackermann , J. ,and Barmish , B. R. , 1988 , Robust Schur stability of a polytope of polynomials. I.E.E.E. Transactions on automatic Control , 33 , 984 – 986 .
- Ackermann , J. , Hu , H. , and Kaesbauer , D. , 1988 , Robustness analysis: a case study. proceedings of the I.E.E.E. Conference on Decision and Control , 1 , 86 – 91 .
- Anderson , B. DO. , and Scott , R. W. , 1977 , Output feedback stabilization-solution by algebraic geometry methods. Proceedings of the Institute of Electrical and Electronics Engineers , 66 , 849 – 861 .
- Bartlett , A. C , Hollot , C. V. , and Huang , L. , 1988 , Root locations of an entire polytope of polynomials: it suffices to check the edges. Journal of Mathematics of Control , Signals and Systems, 1 , 61 – 71 , also Proceedings of the American Control Conference, 1988 .
- Bose , N. K. , 1982 , Applied Multidimensional System Theory ( New York : Van Nostrand Reinhold ) .
- Dasgupta , S. , and Anderson , B. D. O. , 1987 , Physically based parametrizations for designing adaptive algorithms. Automatica , 23 , 469 – 477 .
- Dii Gaston , R. R. E. , and Safonov , M. E. , 1988 , Exact calculation of the multiloop stability margin. I.E.E.E. Transactions on automatic Control , 33 , 156 – 171 ,
- Djaferis , T. E. , 1988 , Shaping conditions for the robust stability of polynomials with multilinear parameter uncertainty. Internal Report , Electrical and Computer Engineering Department , University of Massachusetts.
- Djaferis , T. E. , and Hollot , C. V. , 1988 , Parameter partitioning via shaping conditions for the stability of families of polynomials. Internal Report , Electrical and Computer Engineering Department, University of Massachusetts ,
- Hodge , W. V. D. , and Pedoe , D. , 1968 , Methods of Algebraic Geometry, Vol. 1 ( Cambridge : Cambridge University Press ).
- Hollot , C. V. , and Bartlett , A. G. , 1986 , Some discrete-time counterparts to Kharitonov's stability criterion for uncertain systems. I.E.E.E. Transactions on automatic Control , 31 , 355 – 356 .
- Jacobson , N. , 1964 , Lectures in Abstract Algebra , Vol. 111 ( Princeton : Van Nostrand ).
- Kharitonov , V. L. , 1979 , Asymptotic stability of an equilibrium position of a family of systems of linear differential equations. Differential Equations , 14 , 1483 – 1485 .
- Panier , E. R. , Fan , M. K. H. , and Tits , A. L. , 1987 , On the stability of polynomials with uncoupled perturbations in the coefficients of even and odd powers. internal Report , Department of Electrical Engineering , University of Maryland .
- Saeki , M. , 1986 , A method of robust stability analysis with highly structured uncertainties. I.E.E.E. Transactions on automatic Control , 31 , 935 – 940 .
- Watson , L. T , Billups , S. C , and Morgan , A. P. , 1987 , HOMPACK: a suite of codes for globally convergent homotopy algorithms. ACM Transactions on Mathematical Software , 13 , 281 – 310 .
- Zadeh , L. , and Desoer , C. A. , 1963 , Linear System Theory ( New York : McGraw Hill ).
- Zeiieb , E. , 1987 , Necessary and sufficient conditions for root clustering of a polytope of polynomials in a simply connected domain. Internal report , Department of Electrical Engineering, Technion , Israel Institute of Technology, Haifa , Israel .