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Introduction to Stability and Boundedness in Dynamical Systems Read chapter Read first chapter

2020 | OriginalPaper | Chapter

5. Exotic Lyapunov Functionals for Boundedness and Stability

Authors : Murat Adıvar, Youssef N. Raffoul

Published in: Stability, Periodicity and Boundedness in Functional Dynamical Systems on Time Scales

Publisher: Springer International Publishing

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Summary

This chapter is devoted primarily to the construction of exotic Lyapunov functionals for the study of boundedness, stability and exponential stability. Necessary and sufficient conditions for scalar and vector Volterra integro-dynamic equations will be given via the use of Lyapunov functionals. It is pointed out that in the case of exponential stability, Lyapunov functionals are hard to extend to vector Volterra integro-dynamic equations or to Volterra integro-dynamic equations with infinite delay. Most of the contents of this chapter are new and never been published elsewhere.

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previous chapter Volterra Integro-Dynamic Equations
next chapter Volterra Integral Dynamic Equations
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Metadata
Title
Exotic Lyapunov Functionals for Boundedness and Stability
Authors
Murat Adıvar
Youssef N. Raffoul
Copyright Year
2020
Book
Stability, Periodicity and Boundedness in Functional Dynamical Systems on Time Scales

Print ISBN: 978-3-030-42116-8

Electronic ISBN: 978-3-030-42117-5

Copyright Year: 2020

DOI
https://doi.org/10.1007/978-3-030-42117-5_5

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