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Part of the book series: Systems & Control: Foundations & Applications ((SCFA))

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Abstract

The main purpose of a Lyapunov function is the establishment of Lyapunov stability. But what else might a Lyapunov function be useful for? We explore this question in the present chapter and in Chapter 5.

As we shall see, the utility of a Lyapunov function is in quantitative studies of robustness, to additive disturbance and to parameters, as well as in achieving inverse optimality in addition to stabilization.

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Correspondence to Miroslav Krstic .

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© 2009 Birkhäuser Boston

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Krstic, M. (2009). Inverse Optimal Redesign. In: Delay Compensation for Nonlinear, Adaptive, and PDE Systems. Systems & Control: Foundations & Applications. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-4877-0_4

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