Read e-book online Linear Delay-Differential Systems with Commensurate Delays: PDF

By Heide Gluesing-Luerssen

ISBN-10: 3540428216

ISBN-13: 9783540428213

The ebook bargains with linear time-invariant delay-differential equations with commensurated element delays in a control-theoretic context. the purpose is to teach that with an appropriate algebraic surroundings a behavioral idea for dynamical platforms defined through such equations should be built. The relevant item is an operator algebra which seems to be an easy divisor area and therefore offers the most instrument for investigating the corresponding matrix equations. The ebook additionally experiences the implications bought up to now for delay-differential structures with noncommensurate delays. furthermore, every time attainable it issues out similarities and variations to the behavioral conception of multidimensional platforms, that's in line with loads of algebraic constitution itself. The presentation is introductory and self-contained. it may even be obtainable to readers with out historical past in delay-differential equations or behavioral structures conception. The textual content should still curiosity researchers and graduate students.

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Sample text

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Linear Delay-Differential Systems with Commensurate Delays: An Algebraic Approach by Heide Gluesing-Luerssen

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