Download E-books Nonlinear Systems Stability Analysis: Lyapunov-Based Approach PDF

By Seyed Kamaleddin Yadavar Nikravesh

The equations used to explain dynamic houses of actual structures are frequently nonlinear, and it truly is infrequently attainable to discover their suggestions. even though numerical strategies are impractical and graphical innovations aren't precious for plenty of different types of platforms, there are various theorems and techniques which are worthy relating to qualitative houses of nonlinear platforms and their solutions―system balance being the main the most important estate. with out balance, a process shouldn't have value.

Nonlinear platforms balance research: Lyapunov-Based Approach introduces complex instruments for balance research of nonlinear structures. It offers the latest development in balance research and offers a whole evaluate of the dynamic platforms balance research equipment utilizing Lyapunov methods. the writer discusses commonplace balance options, highlighting their shortcomings, and likewise describes contemporary advancements in balance research that could enhance applicability of the normal tools. The textual content covers ordinarily new subject matters similar to balance of homogonous nonlinear structures and better order Lyapunov services derivatives for balance research. It additionally addresses precise periods of nonlinear platforms together with time-delayed and fuzzy systems.

Presenting new equipment, this publication presents an almost whole set of tools for developing Lyapunov features in either self sustaining and nonautonomous platforms, referring to new issues that open up novel examine probabilities. collecting a physique of analysis into one quantity, this article deals details to assist engineers layout reliable platforms utilizing practice-oriented equipment and will be used for graduate classes in more than a few engineering disciplines.

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