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Bilinear Control Systems
David Elliott
其他書名
Matrices in Action
出版
Springer Science & Business Media
, 2009-09-01
主題
Science / System Theory
Mathematics / Algebra / Linear
Mathematics / Group Theory
Computers / Data Science / General
Language Arts & Disciplines / Library & Information Science / General
Mathematics / General
Mathematics / Algebra / General
Mathematics / Discrete Mathematics
ISBN
1402096135
9781402096136
URL
http://books.google.com.hk/books?id=dH6QpmVoMvkC&hl=&source=gbs_api
EBook
SAMPLE
註釋
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.