Liapunov Functions and Stability in Control Theory by Andrea Bacciotti, Lionel Rosier

By Andrea Bacciotti, Lionel Rosier

This publication offers a contemporary and self-contained remedy of the Liapunov technique for balance research, within the framework of mathematical nonlinear keep an eye on concept. a selected concentration is at the challenge of the lifestyles of Liapunov capabilities (converse Liapunov theorems) and their regularity, whose curiosity is mainly encouraged by means of functions to automated keep an eye on. Many contemporary ends up in this quarter were accumulated and offered in a scientific means. a few of them are given in prolonged, unified types and with new, easier proofs. within the 2d variation of this winning booklet a number of new sections have been extra and previous sections were enhanced, e.g concerning the Zubovs procedure, Liapunov capabilities for discontinuous platforms and cascaded platforms. Many new examples, factors and figures have been extra making this winning ebook obtainable and good readable for engineers in addition to mathematicians.

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