Bilinear Control Systems: Matrices in Action: 169 (Applied by David Elliott

By David Elliott

The mathematical idea of keep an eye on grew to become a ?eld of research part a century in the past in makes an attempt to elucidate and arrange a few hard useful difficulties and the tools used to unravel them. it really is recognized for the breadth of the math it makes use of and its cross-disciplinary power. Its literature, which may befoundinSection93ofMathematicalReviews,wasatonetimedominatedby the speculation of linear regulate structures, which mathematically are defined via linear di?erential equations pressured by way of additive keep an eye on inputs. That idea ended in well-regarded numerical and symbolic computational applications for keep an eye on research and layout. Nonlinear regulate difficulties also are very important; in those both the - derlying dynamical approach is nonlinear or the controls are utilized in a n- additiveway.Thelastfourdecadeshaveseenthedevelopmentoftheoretical paintings on nonlinear keep watch over difficulties in accordance with di?erential manifold thought, nonlinear research, and a number of other mathematical disciplines. a few of the difficulties that were solved in linear regulate concept, plus others which are new and fantastically nonlinear, were addressed; a few ensuing common de?nitions and theorems are tailored during this e-book to the bilinear case.

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