By Andrea Bacciotti, Lionel Rosier
This ebook offers a contemporary and self-contained therapy of the Liapunov strategy for balance research, within the framework of mathematical nonlinear keep an eye on thought. a selected concentration is at the challenge of the lifestyles of Liapunov services (converse Liapunov theorems) and their regularity, whose curiosity is mainly inspired by way of purposes to computerized regulate. Many fresh ends up in this quarter were accumulated and provided in a scientific manner. a few of them are given in prolonged, unified types and with new, less complicated proofs. within the 2d variation of this winning e-book numerous new sections have been further and outdated sections were more suitable, e.g in regards to the Zubovs approach, Liapunov features for discontinuous structures and cascaded structures. Many new examples, factors and figures have been additional making this profitable booklet available and good readable for engineers in addition to mathematicians.
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Liapunov Functions and Stability in Control Theory by Andrea Bacciotti, Lionel Rosier