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Constructions of Strict Lyapunov Functions

Constructions of Strict Lyapunov Functions

Paperback

Series: Communications and Control Engineering

Technology & EngineeringGeneral Mathematics

ISBN10: 1447157826
ISBN13: 9781447157823
Publisher: Springer
Published: Oct 30 2014
Pages: 386
Weight: 1.24
Height: 0.83 Width: 6.14 Depth: 9.21
Language: English

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.

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