Lyapunov Matrix Equation In System Stability And Control
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| Author | : Zoran Gajic |
| Publisher | : Courier Corporation |
| Total Pages | : 274 |
| Release | : 2008-01-01 |
| Genre | : Mathematics |
| ISBN | : 048646668X |
This comprehensive treatment provides solutions to many engineering and mathematical problems related to the Lyapunov matrix equation, with self-contained chapters for easy reference. The authors offer a wide variety of techniques for solving and analyzing the algebraic, differential, and difference Lyapunov matrix equations of continuous-time and discrete-time systems. 1995 edition.
| Author | : Luis Barreira |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 166 |
| Release | : 2002 |
| Genre | : Mathematics |
| ISBN | : 0821829211 |
A systematic introduction to the core of smooth ergodic theory. An expanded version of an earlier work by the same authors, it describes the general (abstract) theory of Lyapunov exponents and the theory's applications to the stability theory of differential equations, the stable manifold theory, absolute continuity of stable manifolds, and the ergodic theory of dynamical systems with nonzero Lyapunov exponents (including geodesic flows). It could be used as a primary text for a course on nonuniform hyperbolic theory or as supplemental reading for a course on dynamical systems. Assumes a basic knowledge of real analysis, measure theory, differential equations, and topology. c. Book News Inc.
| Author | : Daniel Liberzon |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 232 |
| Release | : 2012-12-06 |
| Genre | : Science |
| ISBN | : 1461200172 |
The theory of switched systems is related to the study of hybrid systems, which has gained attention from control theorists, computer scientists, and practicing engineers. This book examines switched systems from a control-theoretic perspective, focusing on stability analysis and control synthesis of systems that combine continuous dynamics with switching events. It includes a vast bibliography and a section of technical and historical notes.
| Author | : Biswa Datta |
| Publisher | : Elsevier |
| Total Pages | : 736 |
| Release | : 2004-02-24 |
| Genre | : Mathematics |
| ISBN | : 008053788X |
Numerical Methods for Linear Control Systems Design and Analysis is an interdisciplinary textbook aimed at systematic descriptions and implementations of numerically-viable algorithms based on well-established, efficient and stable modern numerical linear techniques for mathematical problems arising in the design and analysis of linear control systems both for the first- and second-order models. - Unique coverage of modern mathematical concepts such as parallel computations, second-order systems, and large-scale solutions - Background material in linear algebra, numerical linear algebra, and control theory included in text - Step-by-step explanations of the algorithms and examples
| Author | : Leonid Shaikhet |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 352 |
| Release | : 2013-03-29 |
| Genre | : Technology & Engineering |
| ISBN | : 3319001019 |
Stability conditions for functional differential equations can be obtained using Lyapunov functionals. Lyapunov Functionals and Stability of Stochastic Functional Differential Equations describes the general method of construction of Lyapunov functionals to investigate the stability of differential equations with delays. This work continues and complements the author’s previous book Lyapunov Functionals and Stability of Stochastic Difference Equations, where this method is described for difference equations with discrete and continuous time. The text begins with both a description and a delineation of the peculiarities of deterministic and stochastic functional differential equations. There follows basic definitions for stability theory of stochastic hereditary systems, and the formal procedure of Lyapunov functionals construction is presented. Stability investigation is conducted for stochastic linear and nonlinear differential equations with constant and distributed delays. The proposed method is used for stability investigation of different mathematical models such as: • inverted controlled pendulum; • Nicholson's blowflies equation; • predator-prey relationships; • epidemic development; and • mathematical models that describe human behaviours related to addictions and obesity. Lyapunov Functionals and Stability of Stochastic Functional Differential Equations is primarily addressed to experts in stability theory but will also be of interest to professionals and students in pure and computational mathematics, physics, engineering, medicine, and biology.
| Author | : Stephen Boyd |
| Publisher | : SIAM |
| Total Pages | : 203 |
| Release | : 1994-01-01 |
| Genre | : Mathematics |
| ISBN | : 9781611970777 |
In this book the authors reduce a wide variety of problems arising in system and control theory to a handful of convex and quasiconvex optimization problems that involve linear matrix inequalities. These optimization problems can be solved using recently developed numerical algorithms that not only are polynomial-time but also work very well in practice; the reduction therefore can be considered a solution to the original problems. This book opens up an important new research area in which convex optimization is combined with system and control theory, resulting in the solution of a large number of previously unsolved problems.
| Author | : Ai-Guo Wu |
| Publisher | : Springer |
| Total Pages | : 496 |
| Release | : 2016-08-08 |
| Genre | : Science |
| ISBN | : 9811006377 |
The book is the first book on complex matrix equations including the conjugate of unknown matrices. The study of these conjugate matrix equations is motivated by the investigations on stabilization and model reference tracking control for discrete-time antilinear systems, which are a particular kind of complex system with structure constraints. It proposes useful approaches to obtain iterative solutions or explicit solutions for several types of complex conjugate matrix equation. It observes that there are some significant differences between the real/complex matrix equations and the complex conjugate matrix equations. For example, the solvability of a real Sylvester matrix equation can be characterized by matrix similarity; however, the solvability of the con-Sylvester matrix equation in complex conjugate form is related to the concept of con-similarity. In addition, the new concept of conjugate product for complex polynomial matrices is also proposed in order to establish a unified approach for solving a type of complex matrix equation.
| Author | : Sergio Bittanti |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 438 |
| Release | : 2009 |
| Genre | : Language Arts & Disciplines |
| ISBN | : 1848009100 |
This book offers a comprehensive treatment of the theory of periodic systems, including the problems of filtering and control. It covers an array of topics, presenting an overview of the field and focusing on discrete-time signals and systems.
| Author | : Mahmut Reyhanoglu |
| Publisher | : BoD – Books on Demand |
| Total Pages | : 276 |
| Release | : 2017-03-15 |
| Genre | : Mathematics |
| ISBN | : 9535130153 |
There has been a considerable progress made during the recent past on mathematical techniques for studying dynamical systems that arise in science and engineering. This progress has been, to a large extent, due to our increasing ability to mathematically model physical processes and to analyze and solve them, both analytically and numerically. With its eleven chapters, this book brings together important contributions from renowned international researchers to provide an excellent survey of recent advances in dynamical systems theory and applications. The first section consists of seven chapters that focus on analytical techniques, while the next section is composed of four chapters that center on computational techniques.
| Author | : Ricardo Baeza-Yates |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 497 |
| Release | : 2006-02-28 |
| Genre | : Mathematics |
| ISBN | : 0387233946 |
Applied probability is a broad research area that is of interest to scientists in diverse disciplines in science and technology, including: anthropology, biology, communication theory, economics, epidemiology, finance, geography, linguistics, medicine, meteorology, operations research, psychology, quality control, sociology, and statistics. Recent Advances in Applied Probability is a collection of survey articles that bring together the work of leading researchers in applied probability to present current research advances in this important area. This volume will be of interest to graduate students and researchers whose research is closely connected to probability modelling and their applications. It is suitable for one semester graduate level research seminar in applied probability.
