The behaviour of optimal Lyapunov functions
Open Access
- 1 April 1975
- journal article
- research article
- Published by Taylor & Francis in International Journal of Control
- Vol. 21 (4), 561-573
- https://doi.org/10.1080/00207177508922012
Abstract
This paper explores the problem of maximizing the size of a region of asymptotic stability (RAS) over a class of Lyapunov functions (LF) in order to estimate the domain of attraction of a continuous or discontinuous (relay) system. Analytic and numerical evidence shows that a subclass of LF may exist with multiple-tangency for the RAS problem, and can cause some serious convergence problems. Several systems are considered with two classes of LF for continuous and one class for relay systems.Keywords
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