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Constructions of Strict Lyapunov Functions (Paperback, 2009 ed.)
Loot Price: R4,371
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Constructions of Strict Lyapunov Functions (Paperback, 2009 ed.)
Series: Communications and Control Engineering
Expected to ship within 10 - 15 working days
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Converse Lyapunov function theory guarantees the existence of
strict Lyapunov functions in many situations, but the functions it
provides are often abstract and nonexplicit, and therefore may not
lend themselves to engineering applications. Often, even when a
system is known to be stable, one still needs explicit Lyapunov
functions; however, once an appropriate strict Lyapunov function
has been constructed, many robustness and stabilization problems
can be solved through standard feedback designs or robustness
arguments. Non-strict Lyapunov functions are often readily
constructed. This book contains a broad repertoire of Lyapunov
constructions for nonlinear systems, focusing on methods for
transforming non-strict Lyapunov functions into strict ones. Their
explicitness and simplicity make them suitable for feedback design,
and for quantifying the effects of uncertainty. Readers will
benefit from the authors' mathematical rigor and unifying,
design-oriented approach, as well as the numerous worked examples.
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