LiapunovA. M.Problème général de la stabilité du mouvement, Comm. Soc. Math. Kharkov, 1892; Princeton University Press, 1947.
7.
NyquistH.‘Regeneration theory’, Bell System Tech. J.193211, 126.
8.
MikhailovA. V.‘Method of harmonic analysis in the theory of regulation’, Avtom. i Telemekhanika1938 No. 3.
9.
Van Der PolB.Phil. Mag.19226, 43.
10.
AndronovA. A.ChaikinC. E.Theory of oscillations, Moscow, 1937; Princeton University Press, 1949.
11.
BogoliubovN.KrylovN. M.‘Introduction to nonlinear mechanics’, Ukrain. Akad. Nauk.19371–2, 365; Ann. Math. Studies 1947 11, 106.
12.
ChetayevN. G.Stability of motion, Moscow, 1955, Pergamon Press, 1961.
13.
EvansW. R.Control system dynamics, McGraw-Hill, 1954.
14.
SchurI.‘Über Potenzreihen, die in Innern des Einheitz-kreises beschrankt sind’, J. Reine Angew. Math.1917147, 205; 1918 148, 122.
15.
CohnA.‘Über die Anzahl der Wurzeln einer algebraischen Gleichung in einem Kreise’, Math. Zeit.192214, 110.
16.
SchmeidlerW.Vorträge über Determinanten und Matrizen, Akademie-Verlag, 1949.
17.
RalstonA.‘A symmetric formulation of the Hurwitz— Routh criterion’, I.E.E.E. Trans. on Auto. Control1962 Vol. AC-7, 50.
18.
GantmacherF. R.Applications of the theory of matrices, Interscience Publishers, 1959.
19.
LiénardA.ChipartM. H.‘Sur le signe de la partie réele des racines d'une équation algébrique’, J. Math. pures appl.191410, 291; C.R. Acad. Sci. Paris 1913 157, 691.
20.
MeerovM. V.Bull. Acad. Sci. URSS Cl. sci. tech.194512, 1169.
21.
FullerA. T.‘Stability criteria for linear systems and realizability criteria for RC networks’, Proc. Camb. Phil. Soc.195753, 878.
22.
ParksP. C.I.E.E.E. Trans. on Auto. Control.1963 Vol. Ac-8, 270.
23.
ParksP. C.I.E.E.E. Trans. on Auto. Control, January 1964 Vol. AC-9.
24.
JuryE. I.‘On the roots of a real polynomial inside the unit circle and a stability criterion for linear discrete systems’, Proc. 2nd Cong. Intern. Federation of Automatic Control, Basle 1963. Butterworth; Oldenbourg Verlag (to be published).
25.
DimentbergF.Flexural vibrations of rotating shafts, Butterworth, 1961.
26.
BilharzH.‘Bermerkung zu einem Satze von Hurwitz’, Zeit. angew. Math. Mech.194424, 77.
27.
CesariL.Asymptotic behaviour and stability problems in ordinary differential equations, Springer-Verlag, 1959.
28.
FloquetG.‘Sur les équations différentielles linéaires à coéfficients périodiques’, Ann. Ecole Norm. Sup., Paris 188312, 47.
29.
LowisO. J.‘The stability of a rotor blade flapping motion at high tip speed ratios’, Aeronautical Research Council1962, Paper 23, 371.
30.
HillG. W.‘Mean motion of the lunar perigee’, Acta. math.18868, 1.
31.
MathieuE.‘Mémoire sur le mouvement vibratoire d'une membrane de forme elliptique’, J. Math. pures appl.186813, 137.
32.
MclachlanN. W.Theory and application of Mathieu functions, Oxford, 1947.
33.
PontryaginL. S.‘On zeros of some transcendental functions’, Bull. Acad. Sci. U.R.S.S. Math19426, 115.
34.
PopovE. P.The dynamics of automatic control systems, Chapter 12, Pergamon Press, 1962.
35.
ParksP. C.‘Liapunov's methods in automatic control’, Control November and December 19625. (Reprinted for this symposium by I.Mech.E.).
36.
SchultzD. G.GibsonJ. E.‘The variable gradient method for generating Liapunov functions’, Trans. A.I.E.E. September 196281 ‘Applications and Industry’, No. 62, 203.
37.
ZubovV. I.Prik. Mat. Mekh.195519, 179.
38.
MargolisS. G.VogtW. G.‘Control engineering applications of V. I. Zubov's construction procedure for Liapunov functions’, I.E.E.E. Trans. on Auto. Control April 1963 Vol. AC-8, No. 2, 104.
39.
BautinN. N.Behaviour of dynamical systems near the boundary of their region of stability, Gostekhizdat, Moscow, 1949.
40.
BendixsonI.‘Sur les courbes définies par des équations différentielles’, Acta. math.190124, 1.
41.
KochenburgerR. J.‘A frequency response method for analysing contactor servo mechanisms’, Trans. A.I.E.E.1947 69 Pt. Iia p. 52 et seq.
42.
GoldfarbL. C.‘On some nonlinear phenomena in automatic regulating systems’, Automat. i Telemakh.19478, No. 5, 349.
43.
DutilhJ. R.‘Théorie des servomécanismes à relais’, L'Onde Electrique195030, 438.
44.
LoebJ‘Phénomènes héréditaires dans les servomécanismes un critère général de stabilité’, Ann. des Télécomme19516 (12), 346.
45.
PopovE. P.Izvest. Akad. Nauk. Teckh. Nauk No. 5 19543.
46.
BassR. W.‘Mathematical legitimacy of the describing function technique’, Proc. 1st. Congress I.F.A.C. Moscow, 1960 (Butterworths, 1961).
47.
KalmanR. E.‘Lyapunov functions for the problem of Lur'e in automatic control’, Proc. Nat. Acad. Sci. February 196349, No. 2, 201.
48.
WestJ. C.DouceJ. L.LivesleyR. K.‘The dual input describing function and its use in the analysis of non-linear feedback systems’, Proc. I.E.E.1956103. Pt. B, 463.
49.
GilleJ. G.PélegrinM. J.DecaulneP.Feedback control systems, McGraw Hill, 1959.
50.
NewmanP.‘Approaches to stability analysis’, Economica February 196128, 12.
51.
NegishiT.‘The stability of a competitive economy—a survey article’, Econometrica October 196230, No. 4, 635.