James M. Hurt
ABSTRACT
This paper will discuss a new mathematical technique for the solution of nonlinear differential equations. The types of equations and nonlinearities presented are those associated with feedback control systems. Originally developed as a method for simulating control systems, the technique was verified during a recent study of complex aircraft design simulations. It is now being used in a man-in-the-loop Gemini spacecraft simulation.
- Fowler, M. E., Numerical Methods for the Synthesis of Linear Control Systems, IBM TR 24.001.Google Scholar
- Jury, E. I., Sampled-Data Control Systems, John Wiley & Sons, Inc., pp. 1--63. Google ScholarDigital Library
- Leondes, C. T., Computer Control Systems Technology, McGraw-Hill, pp. 307--362.Google Scholar
- Ragazzini, J. R. & Franklin, G. F., Sampled-Data Control Systems, McGraw-Hill, pp. 1--116.Google Scholar
- Truxal, John G., Automatic Feedback Control System Synthesis, McGraw-Hill, pp. 501--557.Google Scholar
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