ISBN: 9789048181698

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… Meer...

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. David Elliott, Books, Science and Nature, Bilinear Control Systems: Matrices in Action Books>Science and Nature, Springer Netherlands<

ISBN: 9789048181698

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… Meer...

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. Books > Mathematics Soft cover, Springer Shop<

ISBN: 9789048181698

Paperback, [PU: Springer], Aimed at first-year graduates, this book introduces and surveys bilinear control systems theory from a mathematical viewpoint. Topics include an introduction to… Meer...

Paperback, [PU: Springer], 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., Cybernetics & Systems Theory<

2010, ISBN: 9789048181698

gebonden uitgave

Matrices in Action, Softcover reprint of hardcover 1st ed. 2009, Softcover, Buch, [PU: Springer]