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

Full Text: DOI


[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)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.