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Titlebook: Bilinear Control Systems; Matrices in Action David Elliott Book 2009 Springer Science+Business Media B.V. 2009 Control Systems.Lie Algebras

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期刊全称Bilinear Control Systems
期刊简称Matrices in Action
影响因子2023David Elliott
视频video
发行地址No other comprehensive survey of Bilinear Control Systems is available
学科分类Applied Mathematical Sciences
图书封面Titlebook: Bilinear Control Systems; Matrices in Action David Elliott Book 2009 Springer Science+Business Media B.V. 2009 Control Systems.Lie Algebras
影响因子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.
Pindex Book 2009
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Palgrave Studies in Political Psychologyding Lie algebras . (also called transitive because . for all . are discussed and a corrected list is given in Boothby-Wilson [32]; that work presents a rational algorithm, using the theory of semisimple Lie algebras, that determines whether a generated Lie algebra . is transitive.
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