On the stability in oscillations in a class of nonlinear feedback systems containing numerator dynamics
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In this article, the stability of oscillations in a wide class of nonlinear control systems with their linear part given by the transfer function G(s) = p(s)/q(s), where p and q are polynomials over the real numbers.Abstract:
We analyze the stability of oscillations in a wide class of nonlinear control systems which have their linear part given by the transfer function G(s) = p(s)/q(s), where p and q are polynomials over the real numbers. The analysis employs the classical single-input sinusoidal describing function, elementary control theory, and the theory of integral manifolds. We demonstrate, by means of specific examples, how the present results can be used to obtain detailed information concerning the behavior of the solutions.read more
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Stabilized Feedback Amplifiers
TL;DR: In this paper, the theory of the feedback principle and its application in a carrier-in-cable system were described and explained. And the results of this trial were highly satisfactory and demonstrated conclusively the correctness of the theory and the practicability of its commercial application.
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Theory of Ordinary Differential Equations
TL;DR: The prerequisite for the study of this book is a knowledge of matrices and the essentials of functions of a complex variable as discussed by the authors, which is a useful text in the application of differential equations as well as for the pure mathematician.
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Asymptotic Methods in the Theory of Nonlinear Oscillations
TL;DR: In this article, a wide circle of engineering-technical and scientific workers who are concerned with oscillatory processes is devoted to the approximate asymptotic methods of solving the problems in the theory of nonlinear oscillations met in many fields of physics and engineering.
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Foundations of Optimal Control Theory
Ernest Bruce Lee,Lawrence Markus +1 more
TL;DR: This complete and authoritative presentation of the current status of control theory offers a useful foundation for both study and research.
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Multiple-Input Describing Functions and Nonlinear System Design
TL;DR: The theory of automatic control has been advanced in important ways during recent years, particularly with respect to stability and optimal control, but these theories do not, however, lay to rest all questions of importance to the control engineer.