Partial Differential Equations and Group Theory: New Perspectives for Applications - nieuw boek

ISBN: 9789048144327

Ordinary differential control thPory (the classical theory) studies input/output re­ lations defined by systems of ordinary differential equations (ODE). The various … Meer...

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. Books List_Books<

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2010, ISBN: 9789048144327

Springer, Taschenbuch, Auflage: Softcover reprint of hardcover 1st ed. 1994, 492 Seiten, Publiziert: 2010-12-07T00:00:01Z, Produktgruppe: Book, Hersteller-Nr.: biography, 1.65 kg, Verkauf… Meer...

Springer, Taschenbuch, Auflage: Softcover reprint of hardcover 1st ed. 1994, 492 Seiten, Publiziert: 2010-12-07T00:00:01Z, Produktgruppe: Book, Hersteller-Nr.: biography, 1.65 kg, Verkaufsrang: 8517, Algebra & Zahlentheorie, Naturwissenschaft & Mathematik, Fachbücher, Kategorien, Bücher, Geometrie, Mechanik, Ingenieurwissenschaft & Technik, Naturwissenschaften & Technik, Mathematische Physik, Format: Illustriert, Springer, 2010<

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2010

ISBN: 9789048144327

Springer, Taschenbuch, Auflage: Softcover reprint of hardcover 1st ed. 1994, 492 Seiten, Publiziert: 2010-12-07T00:00:01Z, Produktgruppe: Book, Hersteller-Nr.: biography, 1.65 kg, Verkauf… Meer...

Springer, Taschenbuch, Auflage: Softcover reprint of hardcover 1st ed. 1994, 492 Seiten, Publiziert: 2010-12-07T00:00:01Z, Produktgruppe: Book, Hersteller-Nr.: biography, 1.65 kg, Verkaufsrang: 8517, Algebra & Zahlentheorie, Naturwissenschaft & Mathematik, Fachbücher, Kategorien, Bücher, Geometrie, Mechanik, Ingenieurwissenschaft & Technik, Naturwissenschaften & Technik, Mathematische Physik, Format: Illustriert, Springer, 2010<

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ISBN: 9048144329

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Partial Differential Equations and Group Theory ab 106.99 € als Taschenbuch: New Perspectives for Applications. Softcover reprint of hardcover 1st ed. 1994. Aus dem Bereich: Bücher, Wisse… Meer...

Partial Differential Equations and Group Theory ab 106.99 € als Taschenbuch: New Perspectives for Applications. Softcover reprint of hardcover 1st ed. 1994. Aus dem Bereich: Bücher, Wissenschaft, Mathematik, Medien > Bücher, Springer Netherlands<

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ISBN: 9048144329

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Partial Differential Equations and Group Theory ab 106.99 EURO New Perspectives for Applications. Softcover reprint of hardcover 1st ed. 1994 Medien > Bücher

Nr. 13905783. Verzendingskosten:, , DE. (EUR 0.00)