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Dynamics of Systems with Causal Operator

In: Qualitative Analysis of Set-Valued Differential Equations

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  • Anatoly A. Martynyuk

    (National Academy of Sciences of Ukraine, Institute of Mechanics)

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.

Suggested Citation

  • Anatoly A. Martynyuk, 2019. "Dynamics of Systems with Causal Operator," Springer Books, in: Qualitative Analysis of Set-Valued Differential Equations, chapter 0, pages 151-171, Springer.
    • Handle: RePEc:spr:sprchp:978-3-030-07644-3_7
    DOI: 10.1007/978-3-030-07644-3_7
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