Frequency Domain Criteria for Absolute stability - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Frequency Domain Criteria for Absolute stability write by Kumpati S. Narendra. This book was released on 2014-01-16. Frequency Domain Criteria for Absolute stability available in PDF, EPUB and Kindle. Frequency Domain Criteria for Absolute Stability presents some generalizations of the well-known Popov solution to the absolute stability problem proposed by Lur'e and Postnikov in 1944. This book is divided into nine chapters that focus on the application of Lyapunov's direct method to generate frequency domain criteria for stability. The first eight chapters explore the systems with a single nonlinear function or time-varying parameter. These chapters also discuss the development of stability criteria for these systems, the sufficiency theorems, and Lyapunov function. Some of the theorems applied to a damped version of the Mathieu equation and to a nonlinear equation derived from it are also covered. The concluding chapter deals with systems with multiple nonlinearities or time-varying gains. This chapter also outlines the basic definitions and tools, as well as the derivation of stability criteria. This work will serve as a reference for research courses concerning stability problems related to the absolute stability problem of Lur'e and Postnikov. Engineers and applied mathematicians will also find this book invaluable.
Frequency Domain Criteria for Absolute Stability
Frequency Domain Criteria for Absolute Stability - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Frequency Domain Criteria for Absolute Stability write by Dmitry Altshuller. This book was released on 2012-07-25. Frequency Domain Criteria for Absolute Stability available in PDF, EPUB and Kindle. Frequency Domain Criteria for Absolute Stability focuses on recently-developed methods of delay-integral-quadratic constraints to provide criteria for absolute stability of nonlinear control systems. The known or assumed properties of the system are the basis from which stability criteria are developed. Through these methods, many classical results are naturally extended, particularly to time-periodic but also to nonstationary systems. Mathematical prerequisites including Lebesgue-Stieltjes measures and integration are first explained in an informal style with technically more difficult proofs presented in separate sections that can be omitted without loss of continuity. The results are presented in the frequency domain – the form in which they naturally tend to arise. In some cases, the frequency-domain criteria can be converted into computationally tractable linear matrix inequalities but in others, especially those with a certain geometric interpretation, inferences concerning stability can be made directly from the frequency-domain inequalities. The book is intended for applied mathematicians and control systems theorists. It can also be of considerable use to mathematically-minded engineers working with nonlinear systems.
Frequency-domain Methods for Nonlinear Analysis
Frequency-domain Methods for Nonlinear Analysis - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Frequency-domain Methods for Nonlinear Analysis write by Gennadi? Alekseevich Leonov. This book was released on 1996. Frequency-domain Methods for Nonlinear Analysis available in PDF, EPUB and Kindle. This book deals with the investigation of global attractors of nonlinear dynamical systems. The exposition proceeds from the simplest attractor of a single equilibrium to more complicated ones, i.e. to finite, denumerable and continuum equilibria sets; and further, to cycles, homoclinic and heteroclinic orbits; and finally, to strange attractors consisting of irregular unstable trajectories. On the complicated equilibria sets, the methods of Lyapunov stability theory are transferred. They are combined with stability techniques specially elaborated for such sets. The results are formulated as frequency-domain criteria. The methods connected with the theorems of existence of cycles and homoclinic orbits are developed. The estimates of Hausdorff dimensions of attractors are presented.
Stability and Stable Oscillations in Discrete Time Systems
Stability and Stable Oscillations in Discrete Time Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Stability and Stable Oscillations in Discrete Time Systems write by Aristide Halanay. This book was released on 2000-10-31. Stability and Stable Oscillations in Discrete Time Systems available in PDF, EPUB and Kindle. The expertise of a professional mathmatician and a theoretical engineer provides a fresh perspective of stability and stable oscillations. The current state of affairs in stability theory, absolute stability of control systems, and stable oscillations of both periodic and almost periodic discrete systems is presented, including many applications in engineering such as stability of digital filters, digitally controlled thermal processes, neurodynamics, and chemical kinetics. This book will be an invaluable reference source for those whose work is in the area of discrete dynamical systems, difference equations, and control theory or applied areas that use discrete time models.
Stability of Stationary Sets in Control Systems with Discontinuous Nonlinearities
Stability of Stationary Sets in Control Systems with Discontinuous Nonlinearities - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Stability of Stationary Sets in Control Systems with Discontinuous Nonlinearities write by Vladimir Andreevich I?A?kubovich. This book was released on 2004. Stability of Stationary Sets in Control Systems with Discontinuous Nonlinearities available in PDF, EPUB and Kindle. This book presents a development of the frequency-domain approach to the stability study of stationary sets of systems with discontinuous nonlinearities. The treatment is based on the theory of differential inclusions and the second Lyapunov method. Various versions of the Kalman-Yakubovich lemma on solvability of matrix inequalities are presented and discussed in detail. It is shown how the tools developed can be applied to stability investigations of relay control systems, gyroscopic systems, mechanical systems with a Coulomb friction, nonlinear electrical circuits, cellular neural networks, phase-locked loops, and synchronous machines.
