Abstract
The analysis of discontinuous dynamic systems has attracted a considerable research interest in the last decades. Although the existing literature on this subject includes numerous books and papers such as [30, 52, 77, 108, 126, 132, 139, 212, 227], to name a few, these systems are far from being fully understood. In the present chapter, the analysis tools of such systems are developed within the framework of the second Lyapunov method with a focus on the use of nonsmooth Lyapunov functions, possessing non-positive time derivatives along the system trajectories.
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© 2009 Springer London
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(2009). Stability Analysis. In: Discontinuous Systems. Communications and Control Engineering. Springer, London. https://doi.org/10.1007/978-1-84800-984-4_3
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DOI: https://doi.org/10.1007/978-1-84800-984-4_3
Publisher Name: Springer, London
Print ISBN: 978-1-84800-983-7
Online ISBN: 978-1-84800-984-4
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