Non-decreasing step responses whose transfer functions are subclass $k$
Author:
Armen H. Zemanian
Journal:
Quart. Appl. Math. 18 (1961), 363-373
MSC:
Primary 78.00
DOI:
https://doi.org/10.1090/qam/119808
MathSciNet review:
119808
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Additional Information
- Armen H. Zemanian, On transfer functions and transients, Quart. Appl. Math. 16 (1958), 273–294. MR 102342, DOI https://doi.org/10.1090/S0033-569X-1958-0102342-2
- Armen H. Zemanian, Some properties of rational transfer functions and their Laplace transformations, Quart. Appl. Math. 17 (1959), 245–253. MR 106388, DOI https://doi.org/10.1090/S0033-569X-1959-0106388-0
- Armen H. Zemanian, Further properties of certain classes of transfer functions, Quart. Appl. Math. 18 (1960/61), 223–228. MR 114548, DOI https://doi.org/10.1090/S0033-569X-1960-0114548-8
A. H. Zemanian, Generalizations of the concept of the positive real function, IRE Trans. on Circuit Theory CT-6, 374–383 (Dec. 1959)
L. Weinberg, Network design by use of modern synthesis techniques and tables, Proc. Natl. Electronics Conf. 12, 794–817 (1956)
K. W. Henderson and K. H. Kautz, Transient responses of conventional filters, IRE Trans, on Circuit Theory, CT-5, 333–347 (Dec. 1958).
A. Papoulis, Optimum filters with monotonic response, Proc. IRE 46, 606–609 (March 1958)
R. C. Palmer and L. Mautner, A new figure of merit for the transient response of video amplifiers, Proc. IRE 37, 1073–1077 (Sept. 1949)
I. F. Macdiarmid, Transient response, Wireless Engineer 28, 330–334 (Nov. 1951)
O. P. D. Cutteridge, Monotonic transient response, Proc. I. E. E. 101, Part IV, 46–54 (1954)
J. D. Brule, Time-response characteristics of a system as determined by its transfer function, IRE Trans. on Circuit Theory CT-6, 163–170 (June 1959)
A. H. Zemanian, The properties of pole and zero locations for nondecreasing step responses, Trans. Am. Inst. Elec. Engrs. (to be published)
- L. Lewin, Dilogarithms and associated functions, Macdonald, London, 1958. Foreword by J. C. P. Miller. MR 0105524
H. T. Davis, Tables of higher mathematical functions, vols. I and II, The Principia Press, Bloomington, Ind., 1933 and 1935
- Armen H. Zemanian, Restrictions on the shape factors of the step response of positive real system functions, Proc. I.R.E. 44 (1956), 1160–1165. MR 81750
A. Erdelyi, W. Magnus, F. Oberhettinger, and F. G. Tricomi, Higher transcendental functions, vol. I, McGraw-Hill Book Co., New York, 1953
- E. L. Ince, Ordinary Differential Equations, Dover Publications, New York, 1944. MR 0010757
A. H. Zemanian, On transfer functions and transients, Quart. Appl. Math. 16, 273–294 (Oct. 1958)
A. H. Zemanian, Some properties of rational transfer functions and their Laplace transformations, Quart. Appl. Math. 17, 245–253 (Oct. 1959)
A. H. Zemanian, Further properties of certain classes of transfer functions, Quart. Appl. Math, (to be published)
A. H. Zemanian, Generalizations of the concept of the positive real function, IRE Trans. on Circuit Theory CT-6, 374–383 (Dec. 1959)
L. Weinberg, Network design by use of modern synthesis techniques and tables, Proc. Natl. Electronics Conf. 12, 794–817 (1956)
K. W. Henderson and K. H. Kautz, Transient responses of conventional filters, IRE Trans, on Circuit Theory, CT-5, 333–347 (Dec. 1958).
A. Papoulis, Optimum filters with monotonic response, Proc. IRE 46, 606–609 (March 1958)
R. C. Palmer and L. Mautner, A new figure of merit for the transient response of video amplifiers, Proc. IRE 37, 1073–1077 (Sept. 1949)
I. F. Macdiarmid, Transient response, Wireless Engineer 28, 330–334 (Nov. 1951)
O. P. D. Cutteridge, Monotonic transient response, Proc. I. E. E. 101, Part IV, 46–54 (1954)
J. D. Brule, Time-response characteristics of a system as determined by its transfer function, IRE Trans. on Circuit Theory CT-6, 163–170 (June 1959)
A. H. Zemanian, The properties of pole and zero locations for nondecreasing step responses, Trans. Am. Inst. Elec. Engrs. (to be published)
L. Lewin, Dilogarithms and associated functions, Macdonald and Co., London, 1958
H. T. Davis, Tables of higher mathematical functions, vols. I and II, The Principia Press, Bloomington, Ind., 1933 and 1935
A. H. Zemanian, Restrictions on the shape factors of the step response of positive real system functions, Proc. IRE 44, 1160–1165 (Sept. 1956)
A. Erdelyi, W. Magnus, F. Oberhettinger, and F. G. Tricomi, Higher transcendental functions, vol. I, McGraw-Hill Book Co., New York, 1953
E. L. Ince, Ordinary differential equations, Dover Publications, New York, 1944
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Article copyright:
© Copyright 1961
American Mathematical Society