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Kalman, R. E.; Bertram, J. E.

A unified approach to the theory of sampling systems. (English) Zbl 0142.07004

J. Franklin Inst. 267, 405-436 (1959).
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Cited in 30 Documents

Keywords:

ordinary differential equations
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\textit{R. E. Kalman} and \textit{J. E. Bertram}, J. Franklin Inst. 267, 405--436 (1959; Zbl 0142.07004)
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[1] Ragazzini, J. R.; Franklin, G., Sampled-Data Control Systems (1958), McGraw-Hill Book Co., Inc: McGraw-Hill Book Co., Inc New York · Zbl 0198.19803
[2] Linvill, W. K., Sampled-Data Control Systems Studied Through Comparison of Sampling with Impulse Modulation, Trans. AIEE, Vol. 70, 1779-1799 (1951)
[3] Ragazzini, J. R.; Zadeh, L. A., The Analysis of Sampled-Data Systems, Trans. AIEE, Vol. 71, 225-234 (1952), Part II
[4] Barker, R. H., The Pulse Transfer Function and its Application to Sampling Servo Systems, (Proc. IEE, Vol. 99 (1952)), 302-317, Part IV
[5] Truxal, J. G., Automatic Feedback Control System Synthesis (1955), McGraw-Hill Book Co., Inc: McGraw-Hill Book Co., Inc New York, Chap. 9
[6] Kranc, G., Compensation of an Error-Sampled System by a Multi-Rate Controller, Trans. AIEE, Vol. 76, 149-159 (1957), Part II
[7] Kranc, G., Additional Techniques for Sampled-Data Feedback Problems, IRE WESCON Convention Record, Vol. 1, 157-165 (1957), Part IV
[8] Farmanfarma, G., General Analysis and Stability Study of Finite Pulsed Feedback Systems, Trans. AIEE, Vol. 77, 148-162 (1958), Part II
[9] Kalman, R. E.; Bertram, J. E., General Synthesis Procedure for Computer Control of Single and Multi-Loop Linear Systems, Trans. AIEE, Vol. 77, 602-609 (1958), Part II
[10] Kalman, R. E., Optimal Nonlinear Control of Saturating Systems by Intermitent Action, IRE WESCON Convention Record, Vol. 1, 130-135 (1957), Part IV
[11] Kalman, R. E.; Koepcke, R. W., Optimal Synthesis of Linear Sampling Control Systems Using Generalized Performance Indexes, Trans. ASME, Vol. 81, 1820-1826 (1959)
[12] Bertram, J. E., The Effect of Quantization in Sampled-Feedback Systems, Trans. AIEE, Vol. 77, 177-182 (1958), Part II
[13] Kalman, R. E., Analysis and Design Principles of Second and Higher Order Saturating Servomechanisms, Trans. AIEE, Vol. 74, 294-310 (1955), Part II
[14] Coddington, E. A.; Levinson, N., Theory of Ordinary Differential Equation (1955), McGraw-Hill Book Co., Inc: McGraw-Hill Book Co., Inc New York, Chap. 3 · Zbl 0042.32602
[15] Pipes, L. A., Matrix Solution of Equations of the Mathieu-Hill Type, J. Appl. Phys., Vol. 24, 902-910 (1953) · Zbl 0050.31301
[16] Desoer, C. A., A Network Containing a Periodically Operated Switch Solved by Successive Approximations, Bell System Tech. J., Vol. 36, 1403-1428 (1957)
[17] Zadeh, L. A., A General Theory of Linear Signal Transmission Systems, Jour. Franklin Inst., Vol. 253, 293-312 (1952)
[18] Kalman, R. E., Analysis and Synthesis of Linear Systems Operating on Randomly Sampled Data, (doctoral thesis (1957), Dept. of Electrical Engineering, Columbia University: Dept. of Electrical Engineering, Columbia University New York, N. Y) · Zbl 0081.34901
[19] Kalman, R. E., On a New Approach to Filtering and Prediction Problems, (ASME paper 59-IRD-11. ASME paper 59-IRD-11, J. Basic Engineering, Vol. 1 (1959)), to appear in · Zbl 0218.93019
[20] Fan Chun Vui, On Pulsed Servo Systems Containing Two Pulse Elements with Unequal Pulse Repetition, Automatika i Telemekhanika, Vol. 19, 917-930 (1958), (in Russian)
[21] Tsypkin, Ya. Z., Theory of Pulse Systems (1958), State Press of Physico-Mathematical Literature: State Press of Physico-Mathematical Literature Moscow, (in Russian) · Zbl 0104.06702
[22] Tartakovskiǐ, G. P., On Pulse Systems with Variable Elements, Radiotekhnika i Elektronika, Vol. 2, 15-22 (1957)
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