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Tackling critical cases of the difference operator stability occurring in applications described by 1 D distributed parameters.
  • Vladimir Rasvan
Vladimir Rasvan
Universitatea din Craiova

Corresponding Author:[email protected]

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The paper starts from the challenge of the critical cases in difference operator stability for neutral functional differential equations (NFDE). Such cases occur in the NFDE associated to 1 D hyperbolic partial differential equations (PDE) dynamics in Mechanical and Hydraulic Engineering. For some of such applications it resulted that the aforementioned critical (non-asymptotic) stability is connected to the character and level of the energy losses. It is shown that suitable choice of the losses to be taken into account can remove the critical stability properties and give the difference operator the asymptotic stability thus ensuring asymptotic stability for the system’s dynamics and also other asymptotic properties.
16 Aug 2023Submitted to International Journal of Robust and Nonlinear Control
16 Aug 2023Submission Checks Completed
16 Aug 2023Assigned to Editor
16 Aug 2023Review(s) Completed, Editorial Evaluation Pending
16 Aug 2023Reviewer(s) Assigned
20 Sep 2023Editorial Decision: Revise Minor
30 Oct 20231st Revision Received
01 Nov 2023Submission Checks Completed
01 Nov 2023Assigned to Editor
01 Nov 2023Review(s) Completed, Editorial Evaluation Pending
06 Nov 2023Reviewer(s) Assigned