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Nonlinear Time-Delay Systems : A Geometric Approach
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ISBN: 9783030720261 9783030720278 9783030720254 Year: 2021 Publisher: Cham Springer International Publishing

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This brief focuses on the structural properties of nonlinear time-delay systems. It provides a link between coverage of fundamental theoretical properties and advanced control algorithms, as well as suggesting a path for the generalization of the differential geometric approach to time-delay systems . The brief begins with an introduction to a class of single-input nonlinear time-delay systems. It then focuses on geometric methods treating them and offers a geometric framework for integrability. The book has chapters dedicated to the accessibility and observability of nonlinear time-delay systems, allowing readers to understand the systems in a well-ordered, structured way. Finally, the brief concludes with applications of integrability and the control of single-input time-delay systems. This brief employs exercises and examples to familiarize readers with the time-delay context. It is of interest to researchers, engineers and postgraduate students who work in the area of nonlinear control systems.


Book
Nonlinear Time-Delay Systems
Authors: --- ---
ISBN: 9783030720261 9783030720278 9783030720254 Year: 2021 Publisher: Cham Springer International Publishing :Imprint: Springer

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Nonlinear control systems: an algebraic setting
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ISBN: 1852331518 9781852331511 Year: 1999 Publisher: London: Springer,

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Algebraic Methods for Nonlinear Control Systems
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ISBN: 9781846285950 Year: 2007 Publisher: London Springer-Verlag London Limited


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Algebraic Methods for Nonlinear Control Systems
Authors: --- --- ---
ISBN: 9781846285950 Year: 2007 Publisher: London Springer-Verlag London Limited

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A self-contained introduction to algebraic control for nonlinear systems suitable for researchers and graduate students. The most popular treatment of control for nonlinear systems is from the viewpoint of differential geometry yet this approach proves not to be the most natural when considering problems like dynamic feedback and realization. Professors Conte, Moog and Perdon develop an alternative linear-algebraic strategy based on the use of vector spaces over suitable fields of nonlinear functions. This algebraic perspective is complementary to, and parallel in concept with, its more celebrated differential-geometric counterpart. Algebraic Methods for Nonlinear Control Systems describes a wide range of results, some of which can be derived using differential geometry but many of which cannot. They include: ¢ classical and generalized realization in the nonlinear context; ¢ accessibility and observability recast within the linear-algebraic setting; ¢ discussion and solution of basic feedback problems like input-to-output linearization, input-to-state linearization, non-interacting control and disturbance decoupling; ¢ results for dynamic and static state and output feedback. Dynamic feedback and realization are shown to be dealt with and solved much more easily within the algebraic framework. Originally published as Nonlinear Control Systems, 1-85233-151-8, this second edition has been completely revised with new text - chapters on modeling and systems structure are expanded and that on output feedback added de novo - examples and exercises. The book is divided into two parts: the first being devoted to the necessary methodology and the second to an exposition of applications to control problems.

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