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

By David Elliott

The mathematical concept of keep an eye on grew to become a ?eld of research part a century in the past in makes an attempt to explain and manage a few demanding useful difficulties and the tools used to resolve them. it truly is recognized for the breadth of the maths it makes use of and its cross-disciplinary energy. Its literature, that could befoundinSection93ofMathematicalReviews,wasatonetimedominatedby the idea of linear keep watch over structures, which mathematically are defined by way of linear di?erential equations pressured through additive regulate inputs. That thought ended in well-regarded numerical and symbolic computational programs for keep watch over research and layout. Nonlinear keep an eye on difficulties also are vital; in those both the - derlying dynamical process is nonlinear or the controls are utilized in a n- additiveway.Thelastfourdecadeshaveseenthedevelopmentoftheoretical paintings on nonlinear regulate difficulties in accordance with di?erential manifold conception, nonlinear research, and several mathematical disciplines. the various difficulties that were solved in linear keep an eye on thought, plus others which are new and exceptionally nonlinear, were addressed; a few ensuing normal de?nitions and theorems are tailored during this publication to the bilinear case.

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