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Nonlinear Systems Stability Analysis - Lyapunov-Based Approach (Hardcover)
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Nonlinear Systems Stability Analysis - Lyapunov-Based Approach (Hardcover)
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The equations used to describe dynamic properties of physical
systems are often nonlinear, and it is rarely possible to find
their solutions. Although numerical solutions are impractical and
graphical techniques are not useful for many types of systems,
there are different theorems and methods that are useful regarding
qualitative properties of nonlinear systems and their
solutions-system stability being the most crucial property. Without
stability, a system will not have value. Nonlinear Systems
Stability Analysis: Lyapunov-Based Approach introduces advanced
tools for stability analysis of nonlinear systems. It presents the
most recent progress in stability analysis and provides a complete
review of the dynamic systems stability analysis methods using
Lyapunov approaches. The author discusses standard stability
techniques, highlighting their shortcomings, and also describes
recent developments in stability analysis that can improve
applicability of the standard methods. The text covers mostly new
topics such as stability of homogonous nonlinear systems and higher
order Lyapunov functions derivatives for stability analysis. It
also addresses special classes of nonlinear systems including
time-delayed and fuzzy systems. Presenting new methods, this book
provides a nearly complete set of methods for constructing Lyapunov
functions in both autonomous and nonautonomous systems, touching on
new topics that open up novel research possibilities. Gathering a
body of research into one volume, this text offers information to
help engineers design stable systems using practice-oriented
methods and can be used for graduate courses in a range of
engineering disciplines.
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