Algebraic and Symbolic Computation Methods in Dynamical 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 Algebraic and Symbolic Computation Methods in Dynamical Systems write by Alban Quadrat. This book was released on 2020-05-30. Algebraic and Symbolic Computation Methods in Dynamical Systems available in PDF, EPUB and Kindle. This book aims at reviewing recent progress in the direction of algebraic and symbolic computation methods for functional systems, e.g. ODE systems, differential time-delay equations, difference equations and integro-differential equations. In the nineties, modern algebraic theories were introduced in mathematical systems theory and in control theory. Combined with real algebraic geometry, which was previously introduced in control theory, the past years have seen a flourishing development of algebraic methods in control theory. One of the strengths of algebraic methods lies in their close connections to computations. The use of the above-mentioned algebraic theories in control theory has been an important source of motivation to develop effective versions of these theories (when possible). With the development of computer algebra and computer algebra systems, symbolic methods for control theory have been developed over the past years. The goal of this book is to propose a partial state of the art in this direction. To make recent results more easily accessible to a large audience, the chapters include materials which survey the main mathematical methods and results and which are illustrated with explicit examples.
Differential Equations with Symbolic Computation
Differential Equations with Symbolic Computation - 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 Differential Equations with Symbolic Computation write by Dongming Wang. This book was released on 2006-03-16. Differential Equations with Symbolic Computation available in PDF, EPUB and Kindle. This book presents the state-of-the-art in tackling differential equations using advanced methods and software tools of symbolic computation. It focuses on the symbolic-computational aspects of three kinds of fundamental problems in differential equations: transforming the equations, solving the equations, and studying the structure and properties of their solutions.
Symbolic Methods in Control System Analysis and Design
Symbolic Methods in Control System Analysis and Design - 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 Symbolic Methods in Control System Analysis and Design write by N. Munro. This book was released on 1999. Symbolic Methods in Control System Analysis and Design available in PDF, EPUB and Kindle. Fifteen contributions provide an up-to-date treatment of issues in system modeling, system analysis, design and synthesis methods, and nonlinear systems. Coverage includes the application of multidimensional Laplace transforms to the modeling of nonlinear elements, a survey of customized computer algebra modeling programs for multibody dynamical systems, robust control of linear systems using a new linear programming approach, the development and testing of a new branch-and-bound algorithm fir global optimization using symbolic algebra techniques, and dynamic sliding mode control design using symbolic algebra tools.
Computer Algebra Methods for Equivariant Dynamical Systems
Computer Algebra Methods for Equivariant Dynamical 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 Computer Algebra Methods for Equivariant Dynamical Systems write by Karin Gatermann. This book was released on 2007-05-06. Computer Algebra Methods for Equivariant Dynamical Systems available in PDF, EPUB and Kindle. This book starts with an overview of the research of Gröbner bases which have many applications in various areas of mathematics since they are a general tool for the investigation of polynomial systems. The next chapter describes algorithms in invariant theory including many examples and time tables. These techniques are applied in the chapters on symmetric bifurcation theory and equivariant dynamics. This combination of different areas of mathematics will be interesting to researchers in computational algebra and/or dynamics.
Symbolic Computation
Symbolic Computation - 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 Symbolic Computation write by Robert Grossman. This book was released on 1989-01-01. Symbolic Computation available in PDF, EPUB and Kindle. This is a monograph that describes current research efforts in the application of symbolic computation to several areas, including dynamical systems, differential geometry, Lie algebras, numerical analysis, fluid dynamics, perturbation theory, control theory, and mechanics. The chapters, which illustrate how symbolic computations can be used to study various mathematical structures, are outgrowths of the invited talks that were presented at the NASA-Ames Workshop on The Use of Symbolic Methods to Solve Algebraic and Geometric Problems Arising in Engineering. More than 100 people participated in the two-day conference, which took place in January 1987 at the NASA-Ames Research Center in Moffett Field, California. The field of symbolic computation is becoming increasingly important in science, engineering, and mathematics. The availability of powerful computer algebra systems on workstations has made symbolic computation an important tool for many researchers.
