ENGLISH

Tautological Control Systems

By Andrew D. Lewis (auth.)

Book information

Publisher
Springer International Publishing
Year
2014
ISBN
978-3-319-08637-8, 978-3-319-08638-5
DOI
10.1007/978-3-319-08638-5
Language
english
Format
PDF
Filesize
2 MB (1798293 bytes)
Series
SpringerBriefs in Electrical and Computer Engineering - SpringerBriefs in Control, Automation and Robotics
Edition
1
Pages
118\128
Time added
2014-11-10 20:00:00
Control; ControlSystems Theory

Description

This brief presents a description of a new modelling framework for nonlinear/geometric control theory. The framework is intended to be—and shown to be—feedback-invariant. As such, Tautological Control Systems provides a platform for understanding fundamental structural problems in geometric control theory. Part of the novelty of the text stems from the variety of regularity classes, e.g., Lipschitz, finitely differentiable, smooth, real analytic, with which it deals in a comprehensive and unified manner. The treatment of the important real analytic class especially reflects recent work on real analytic topologies by the author. Applied mathematicians interested in nonlinear and geometric control theory will find this brief of interest as a starting point for work in which feedback invariance is important. Graduate students working in control theory may also find Tautological Control Systems to be a stimulating starting point for their research.

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