ENGLISH

Symmetries and Semi-invariants in the Analysis of Nonlinear Systems

By Laura Menini; Antonio Tornambe

Book information

ISBN
9780857296122, 9780857296115, 0857296124
Language
english
Format
EPUB
Filesize
7 MB (7454478 bytes)
Edition
2011
Pages
\0
Library
SoftArchive
Time added
2023-07-16 10:26:45

Description

This book details the analysis of continuous- and discrete-time dynamical systems described by differential and difference equations respectively. Differential geometry provides the tools for this, such as first-integrals or orbital symmetries, together with normal forms of vector fields and of maps. A crucial point of the analysis is linearization by state immersion.The theory is developed for general nonlinear systems and specialized for the class of Hamiltonian systems. By using the strong geometric structure of Hamiltonian systems, the results proposed are stated in a different, less complex and more easily comprehensible manner. They are applied to physically motivated systems, to demonstrate how much insight into known properties is gained using 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 and observer design.

Similar books

The arraignment and tryall with a declaration of the Ranters also, several sentences proceedings at the sessions in the Old-Baily, and Councel of War: their protestations and the hanging of one up by the thumbs; with divers penalties to be inflicted upon others. The dancing and revelling of Dr. Buckeridge and his wife, and other gent. dancing all in white, in Berkshire, and their Christmas carol. A dispute between a Ranter in Bridewel, and one that came to see him; with his creed and pater noster: and the names of the false gods they worship. As also, a list of many of the Ranters, from whence they are derived: and of many hundreds of them in England

The arraignment and tryall with a declaration of the Ranters also, several sentences proceedings at the sessions in the Old-Baily, and Councel of War: their protestations and the hanging of one up by the thumbs; with divers penalties to be inflicted upon others. The dancing and revelling of Dr. Buckeridge and his wife, and other gent. dancing all in white, in Berkshire, and their Christmas carol. A dispute between a Ranter in Bridewel, and one that came to see him; with his creed and pater noster: and the names of the false gods they worship. As also, a list of many of the Ranters, from whence they are derived: and of many hundreds of them in England

2019 · EPUB

The discoverer; vvherein is set forth (to undeceive the nation) the reall plots and stratagems of Lievt. Col. John Lilburn, Mr. William Walwyn, Mr. Thomas Prince, Mr. Richard Overton, and that partie ... Namely, under the pretence and colour of libertie ... a most dangerous and destructive designe is carried on to deprive the nation of their religion, rights, liberties, proprieties, lawes, government, &c. and to bring a totall and universall ruine upon the land. And so much is here clearely proved. The first part

The discoverer; vvherein is set forth (to undeceive the nation) the reall plots and stratagems of Lievt. Col. John Lilburn, Mr. William Walwyn, Mr. Thomas Prince, Mr. Richard Overton, and that partie ... Namely, under the pretence and colour of libertie ... a most dangerous and destructive designe is carried on to deprive the nation of their religion, rights, liberties, proprieties, lawes, government, &c. and to bring a totall and universall ruine upon the land. And so much is here clearely proved. The first part

2019 · EPUB

An act to impower Sir John Molesworth: Baronet, and Joseph Moyle, Esquire, Two of the surviving Trustees, in an Indenture, dated the Twenty-Fifth Day of December One thousand Seven hundred and Forty-Three, to raise the several Sums in the said Indenture mentioned, or such of them as are still unsatisfied, and pay the same, as well as the rest of the personal Estate of Hugh Gregor, deceased, to such Person as Jane Gregor, an Infant, shall marry during her Infancy, with the Consent of the surviving Trustees, and of her Guardians

An act to impower Sir John Molesworth: Baronet, and Joseph Moyle, Esquire, Two of the surviving Trustees, in an Indenture, dated the Twenty-Fifth Day of December One thousand Seven hundred and Forty-Three, to raise the several Sums in the said Indenture mentioned, or such of them as are still unsatisfied, and pay the same, as well as the rest of the personal Estate of Hugh Gregor, deceased, to such Person as Jane Gregor, an Infant, shall marry during her Infancy, with the Consent of the surviving Trustees, and of her Guardians

EPUB