Summary
This chapter addresses the utility of sampling techniques in studying stability of nonlinear systems, and in certain instances expanding the stability region obtained from Lyapunov-like analysis. To this end, we provide an overview of random and quasi-random methods, error bounds and various transformations of general nonlinear systems into their polynomial-like counterparts for which preliminary Lyapunov analysis is feasible.
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© 2006 Springer-Verlag London Limited
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Hokayem, P.F., Mastellone, S., Abdallah, C.T. (2006). Nonlinear Systems Stability via Random and Quasi-Random Methods. In: Calafiore, G., Dabbene, F. (eds) Probabilistic and Randomized Methods for Design under Uncertainty. Springer, London. https://doi.org/10.1007/1-84628-095-8_14
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DOI: https://doi.org/10.1007/1-84628-095-8_14
Publisher Name: Springer, London
Print ISBN: 978-1-84628-094-8
Online ISBN: 978-1-84628-095-5
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