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Published in:
General Properties of Set-Valued Equations Read chapter Read first chapter

2019 | OriginalPaper | Chapter

7. Dynamics of Systems with Causal Operator

Author : Anatoly A. Martynyuk

Published in: Qualitative Analysis of Set-Valued Differential Equations

Publisher: Springer International Publishing

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Abstract

This chapter presents the results of dynamical analysis of the equations and the set of equations with robust causal operator. The conditions for the local and global existence of solutions to the regularized equation are established, the estimate of the funnel containing a set of trajectories is given, and the stability conditions for a set of stationary solutions are found. In this case, the direct Lyapunov method and the principle of comparison with the matrix Lyapunov function are applied.

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previous chapter Impulsive Systems with Aftereffect
next chapter Finite-Time Stability of Standard Systems Sets
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Metadata
Title
Dynamics of Systems with Causal Operator
Author
Anatoly A. Martynyuk
Copyright Year
2019
Book
Qualitative Analysis of Set-Valued Differential Equations

Print ISBN: 978-3-030-07643-6

Electronic ISBN: 978-3-030-07644-3

Copyright Year: 2019

DOI
https://doi.org/10.1007/978-3-030-07644-3_7