Previous article Next article The Root Locus Method: A SurveyAllan M. KrallAllan M. Krallhttps://doi.org/10.1137/1012002PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] G. A. Bendrikov, Masters Thesis, The analysis of linear systems by the method of trajectories on the characteristic frequency plane, Doctoral thesis, University of Moscow, Moscow, 1957, (In Russian.) Google Scholar[2] Gerald Berman and , R. G. Stanton, The asymptotes of the root locus, SIAM Rev., 5 (1963), 209–218 10.1137/1005064 MR0154759 0222.65059 LinkISIGoogle Scholar[3] Y. Chu, Feedback control systems with a dead-time lag or distributed lag by the root-locus method, Trans. AIEE, 71 (1952), 291–296 Google Scholar[4] W. R. Evans, Graphical analysis of control systems, Trans. AIEE, 67 (1948), 547–551 Google Scholar[5] W. R. Evans, Control system synthesis by the root-locus method, Trans. AIEE, 69 (1950), 66–69 Google Scholar[6] Wilfred Kaplan, Operational methods for linear systems, Addison-Wesley Series in Mathematics, Addison-Wesley Publishing Co., Inc., Reading, Mass.-Palo Alto, Calif.-London, 1962xi+577 MR0139903 0143.11204 Google Scholar[7] Allan M. Krall, An extension and proof of the root-locus method, J. Soc. Indust. Appl. Math., 9 (1961), 644–653 10.1137/0109054 MR0136485 0107.29102 LinkISIGoogle Scholar[8] A. M. Krall, A closed expression for the root-locus method, SIAM J. Appl. Math., 11 (1963), 700–704 10.1137/0111052 0222.65060 LinkISIGoogle Scholar[9] Allan M. Krall, On the real parts of zeros of exponential polynomials, Bull. Amer. Math. Soc., 70 (1964), 291–292 MR0159100 0133.33601 CrossrefISIGoogle Scholar[10] Allan M. Krall, Stability criteria for feedback systems with a time lag, J. Soc. Indust. Appl. Math. Ser. A Control, 2 (1964), 160–170 MR0182486 0133.33602 LinkGoogle Scholar[11] Allan M. Krall, The asymptotes of the time lag root-locus, J. Soc. Indust. Appl. Math. Ser. A Control, 2 (1965), 370–372 (1965) MR0181504 0151.14104 Google Scholar[12] A. M. Krall, Stability Techniques for Continuous Linear Systems, Gordon and Breach, New York, 1968 0174.14102 Google Scholar[13] A. M. Krall, Root-locus asymptotes for the sum of two polynomials of the same degree, Rep., CR 79764, NASA, 1967 Google Scholar[14] A. M. Krall and , R. Fornaro, An algorithm for generating root locus diagrams, Comm. ACM, 10 (1967), 186–185 10.1145/363162.363212 0145.40902 CrossrefISIGoogle Scholar[15] A. M. Krall and , R. Fornaro, Root locus diagrams by digital computer, Rep., CR-555, NASA, 1966 Google Scholar[16] N. N. Mikhailov, The equation and certain properties of an automatic control system's root locus, Automat. Remote Control, 20 (1959), 1063–1070 MR0115858 0094.06803 Google Scholar[17] C. J. Savant, Basic Feedback Control System Design, McGraw-Hill, New York, 1958 Google Scholar[18] C. V. Yeh, The study of transients in linear feedback systems by conformal mapping and the root locus method, Trans. ASME, 76 (1965), 349–361 Google Scholar Previous article Next article FiguresRelatedReferencesCited ByDetails Counting Characteristic Roots of Linear Delay Differential Equations. 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