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Stability of Stationary Sets in Control Systems with Discontinuous Nonlinearities

2004 Mathematics
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Release : 2004
Genre : Mathematics
Kind : eBook
Book Rating : 239/5 ( reviews)

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Book Synopsis Stability of Stationary Sets in Control Systems with Discontinuous Nonlinearities by : Vladimir Andreevich I?A?kubovich

Download or read book Stability of Stationary Sets in Control Systems with Discontinuous Nonlinearities written by Vladimir Andreevich I?A?kubovich. This book was released on 2004. Available in PDF, EPUB and Kindle. Book excerpt: 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 KalmanOCoYakubovich 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. Sample Chapter(s). Chapter 1: Foundations of Theory of Differential Equations with Discontinuous Right-Hand Sides (455 KB). Contents: Foundations of Theory of Differential Equations with Discontinuous Right-Hand Sides; Auxiliary Algebraic Statements on Solutions of Matrix Inequalities of a Special Type; Dichotomy and Stability of Nonlinear Systems with Multiple Equilibria; Stability of Equilibria Sets of Pendulum-Like Systems. Readership: Upper level undergraduates, graduate students, academics, researchers and engineers involved with mechanics, electrical science and power systems."

Stability Of Stationary Sets In Control Systems With Discontinuous Nonlinearities

2004-03-02 Mathematics
Download Stability Of Stationary Sets In Control Systems With Discontinuous Nonlinearities PDF Online Free

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Release : 2004-03-02
Genre : Mathematics
Kind : eBook
Book Rating : 486/5 ( reviews)

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Book Synopsis Stability Of Stationary Sets In Control Systems With Discontinuous Nonlinearities by : Gennady A Leonov

Download or read book Stability Of Stationary Sets In Control Systems With Discontinuous Nonlinearities written by Gennady A Leonov. This book was released on 2004-03-02. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Analysis and Control of Nonlinear Systems with Stationary Sets

2009 Mathematics
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Release : 2009
Genre : Mathematics
Kind : eBook
Book Rating : 71X/5 ( reviews)

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Book Synopsis Analysis and Control of Nonlinear Systems with Stationary Sets by : Jinzhi Wang

Download or read book Analysis and Control of Nonlinear Systems with Stationary Sets written by Jinzhi Wang. This book was released on 2009. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the analysis as well as methods based on the global properties of systems with stationary sets in a unified time-domain and frequency-domain framework. The focus is on multi-input and multi-output systems, compared to previous publications which considered only single-input and single-output systems. The control methods presented in this book will be valuable for research on nonlinear systems with stationary sets.

Discontinuity and Complexity in Nonlinear Physical Systems

2013-12-04 Technology & Engineering
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Release : 2013-12-04
Genre : Technology & Engineering
Kind : eBook
Book Rating : 110/5 ( reviews)

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Book Synopsis Discontinuity and Complexity in Nonlinear Physical Systems by : J. A. Tenreiro Machado

Download or read book Discontinuity and Complexity in Nonlinear Physical Systems written by J. A. Tenreiro Machado. This book was released on 2013-12-04. Available in PDF, EPUB and Kindle. Book excerpt: Discontinuity in Nonlinear Physical Systems explores recent developments in experimental research in this broad field, organized in four distinct sections. Part I introduces the reader to the fractional dynamics and Lie group analysis for nonlinear partial differential equations. Part II covers chaos and complexity in nonlinear Hamiltonian systems, important to understand the resonance interactions in nonlinear dynamical systems, such as Tsunami waves and wildfire propagations; as well as Lev flights in chaotic trajectories, dynamical system synchronization and DNA information complexity analysis. Part III examines chaos and periodic motions in discontinuous dynamical systems, extensively present in a range of systems, including piecewise linear systems, vibro-impact systems and drilling systems in engineering. And in Part IV, engineering and financial nonlinearity are discussed. The mechanism of shock wave with saddle-node bifurcation and rotating disk stability will be presented, and the financial nonlinear models will be discussed.

Road Map for Sliding Mode Control Design

2020-04-13 Science
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Release : 2020-04-13
Genre : Science
Kind : eBook
Book Rating : 093/5 ( reviews)

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Book Synopsis Road Map for Sliding Mode Control Design by : Vadim Utkin

Download or read book Road Map for Sliding Mode Control Design written by Vadim Utkin. This book was released on 2020-04-13. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to control of finite and infinite dimensional processes with continuous-time and discrete time control, focusing on suppression problems and new methods of adaptation applicable for systems with sliding motions only. Special mathematical methods are needed for all the listed control tasks. These methods are addressed in the initial chapters, with coverage of the definition of the multidimensional sliding modes, the derivation of the differential equations of those motions, and the existence conditions. Subsequent chapters discusses various areas of further research. The book reflects the consensus view of the authors regarding the current status of SMC theory. It is addressed to a broad spectrum of engineers and theoreticians working in diverse areas of control theory and applications. It is well suited for use in graduate and postgraduate courses in such university programs as Electrical Engineering, Control of Nonlinear Systems, and Mechanical Engineering.

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