Laura Menini; Antonio Tornamb? Symmetries and Semi-invariants in the Analysis of Nonlinear Systems 9781447162414

Варианты приобретения

Цена: 20962.00р.
Кол-во:
Наличие: Поставка под заказ. Есть в наличии на складе поставщика.
Склад Америка: Есть
При оформлении заказа до: 2025-07-28
Ориентировочная дата поставки: Август-начало Сентября
При условии наличия книги у поставщика.

Добавить в корзину

в Мои желания

Автор: Laura Menini; Antonio Tornamb?
Название: Symmetries and Semi-invariants in the Analysis of Nonlinear Systems
ISBN: 9781447162414
Издательство: Springer
Классификация: ISBN-10: 1447162412
Обложка/Формат: Paperback
Страницы: 340
Вес: 0.49 кг.
Дата издания: 23.08.2014
Язык: English
Размер: 234 x 156 x 19
Основная тема: Engineering
Ссылка на Издательство: Link
Рейтинг:
Поставляется из: Германии
Описание:

Symmetries and Semi-invariants in the Analysis of Nonlinear Systems details the analysis of continuous- and discrete-time dynamical systems described by differential and difference equations respectively. Differential geometry provides the essential tools for the analysis, tools such as first-integrals or orbital symmetries, together with normal forms of vector fields and of maps. The use of such tools allows the solution of some important problems, studied in detail in the text, which include linearization by state immersion and the computation of nonlinear superposition formulae for nonlinear systems described by solvable Lie algebras.

The theory is developed for general nonlinear systems and, in view of their importance for modeling physical systems, specialized for the class of Hamiltonian systems. By using the strong geometric structure of Hamiltonian systems, the results proposed are stated in a quite different, less complex and more easily comprehensible manner. Throughout the text the results are illustrated by many examples, some of them being physically motivated systems, so that the reader can appreciate how much insight is gained by means of these techniques. Various control systems applications of the techniques are characterized including:

- computation of the flow of nonlinear systems;

- computation of semi-invariants;

- computation of Lyapunov functions for stability analysis.

Symmetries and Semi-invariants in the Analysis of Nonlinear Systems will be of interest to researchers and graduate students studying control theory, particularly with respect to nonlinear systems. All the necessary background and mathematical derivations are related in detail but in a simple writing style that makes the book accessible in depth to readers having a standard knowledge of real analysis, linear algebra and systems theory.

Symmetries and Semi-invariants in the Analysis of Nonlinear Systems, Laura Menini; Antonio Tornamb?