This booklet offers a latest and self-contained therapy of the Liapunov procedure for balance research, within the framework of mathematical nonlinear regulate concept. a specific concentration is at the challenge of the life of Liapunov services (converse Liapunov theorems) and their regularity, whose curiosity is principally influenced via purposes to automated keep watch over. Many fresh ends up in this quarter were accrued and awarded in a scientific manner. a few of them are given in prolonged, unified types and with new, less complicated proofs. within the 2nd variation of this profitable publication a number of new sections have been additional and outdated sections were stronger, e.g., in regards to the Zubovs process, Liapunov services for discontinuous structures and cascaded platforms. Many new examples, motives and figures have been further making this booklet obtainable and good readable for engineers in addition to mathematicians.
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