Hidden Bibliographic Details
Other authors / contributors: | Rosier, Lionel, 1967-
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ISBN: | 9781846288173 1846288177 1852334193 9781852334192
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Notes: | Includes bibliographical references (pages 195-206) and index. Restrictions unspecified Electronic reproduction. [S.l.] : HathiTrust Digital Library, 2010. Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. http://purl.oclc.org/DLF/benchrepro0212 digitized 2010 HathiTrust Digital Library committed to preserve
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Summary: | The main purpose of this work is to present a modern and self-contained treatment of the Liapunov method for stability analysis, in the framework of mathematical nonlinear control theory. We focus in particular on the problem of the existence of Liapunov functions (converse Liapunov theorems) and their regularity, whose interest is especially motivated by applications to automatic control (boundedness of state evolution with respect to bounded inputs, stabilization by feedback). Many recent results in this area have been collected and presented in a systematic way. Some of them are given in extended, unified versions and with new, simpler proofs.
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Other form: | Print version:Bacciotti, Andrea. Liapunov functions and stability in control theory.
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