Cantitate/Preț
Produs

Partial Differential Equations and Group Theory: New Perspectives for Applications: Mathematics and Its Applications, cartea 293

Autor J.F. Pommaret
en Limba Engleză Hardback – 30 iun 1994
Ordinary differential control thPory (the classical theory) studies input/output re­ lations defined by systems of ordinary differential equations (ODE). The various con­ cepts that can be introduced (controllability, observability, invertibility, etc. ) must be tested on formal objects (matrices, vector fields, etc. ) by means of formal operations (multiplication, bracket, rank, etc. ), but without appealing to the explicit integration (search for trajectories, etc. ) of the given ODE. Many partial results have been re­ cently unified by means of new formal methods coming from differential geometry and differential algebra. However, certain problems (invariance, equivalence, linearization, etc. ) naturally lead to systems of partial differential equations (PDE). More generally, partial differential control theory studies input/output relations defined by systems of PDE (mechanics, thermodynamics, hydrodynamics, plasma physics, robotics, etc. ). One of the aims of this book is to extend the preceding con­ cepts to this new situation, where, of course, functional analysis and/or a dynamical system approach cannot be used. A link will be exhibited between this domain of applied mathematics and the famous 'Backlund problem', existing in the study of solitary waves or solitons. In particular, we shall show how the methods of differ­ ential elimination presented here will allow us to determine compatibility conditions on input and/or output as a better understanding of the foundations of control the­ ory. At the same time we shall unify differential geometry and differential algebra in a new framework, called differential algebraic geometry.
Citește tot Restrânge

Toate formatele și edițiile

Toate formatele și edițiile Preț Express
Paperback (1) 39912 lei  6-8 săpt.
  SPRINGER NETHERLANDS – 7 dec 2010 39912 lei  6-8 săpt.
Hardback (1) 40701 lei  6-8 săpt.
  SPRINGER NETHERLANDS – 30 iun 1994 40701 lei  6-8 săpt.

Din seria Mathematics and Its Applications

Preț: 40701 lei

Nou

Puncte Express: 611

Preț estimativ în valută:
7789 8458$ 6543£

Carte tipărită la comandă

Livrare economică 22 aprilie-06 mai

Preluare comenzi: 021 569.72.76

Specificații

ISBN-13: 9780792329664
ISBN-10: 079232966X
Pagini: 492
Ilustrații: X, 478 p.
Dimensiuni: 156 x 234 x 32 mm
Greutate: 0.86 kg
Ediția:1994
Editura: SPRINGER NETHERLANDS
Colecția Springer
Seria Mathematics and Its Applications

Locul publicării:Dordrecht, Netherlands

Public țintă

Research

Cuprins

I. Homological Algebra.- II. Jet Theory.- III. Nonlinear Systems.- IV. Linear Systems.- V. Group Theory.- VI. Differential Galois Theory.- VII. Control Theory.- VIII. Continuum Physics.