Bilinear Control Systems: Matrices in Action - Couverture souple

Livre 39 sur 94: Applied Mathematical Sciences

Elliott, David L.

 
9789048181698: Bilinear Control Systems: Matrices in Action

Synopsis

The mathematical theory of control became a ?eld of study half a century ago in attempts to clarify and organize some challenging practical problems and the methods used to solve them. It is known for the breadth of the mathematics it uses and its cross-disciplinary vigor. Its literature, which can befoundinSection93ofMathematicalReviews,wasatonetimedominatedby the theory of linear control systems, which mathematically are described by linear di?erential equations forced by additive control inputs. That theory led to well-regarded numerical and symbolic computational packages for control analysis and design. Nonlinear control problems are also important; in these either the - derlying dynamical system is nonlinear or the controls are applied in a n- additiveway.Thelastfourdecadeshaveseenthedevelopmentoftheoretical work on nonlinear control problems based on di?erential manifold theory, nonlinear analysis, and several other mathematical disciplines. Many of the problems that had been solved in linear control theory, plus others that are new and distinctly nonlinear, have been addressed; some resulting general de?nitions and theorems are adapted in this book to the bilinear case.

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Présentation de l'éditeur

Aimed at first-year graduates, this book introduces and surveys bilinear control systems theory from a mathematical viewpoint. Topics include an introduction to Lie algebras, matrix groups and semigroups; and series representations for input-outputmappings.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Autres éditions populaires du même titre

9781402096129: Bilinear Control Systems: Matrices in Action

Edition présentée

ISBN 10 :  1402096127 ISBN 13 :  9781402096129
Editeur : Springer-Verlag New York Inc., 2009
Couverture rigide