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Published in 2024 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.9993
Abstract: This paper explores general coupled dynamic equations on time scales with multiple delays and investigates the existence of periodic solutions using the coincidence degree theory approach. The model studied includes the mathematical models of Nicholson,…
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Keywords:
multiple delays;
dynamic equations;
synchronization solutions;
periodicity stability ... See more keywords
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Published in 2024 at "International Journal of Robust and Nonlinear Control"
DOI: 10.1002/rnc.7217
Abstract: In this paper, we study the behavior of characteristic roots of a class of strictly proper LTI SISO systems that are subject to a PD controller for which the derivative action has been implemented by…
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Keywords:
multiple delays;
improperly posed;
delay difference;
difference approximations ... See more keywords
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Published in 2025 at "Physical review. E"
DOI: 10.1103/782p-l2bq
Abstract: Long-time global cooperation is required to reduce CO_{2} emissions towards controlling climate change, one of the most paradigmatic examples of a risky common. The problem has been often modeled, theoretically, employing the so-called Collective Risk…
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Keywords:
impact multiple;
multiple delays;
risk;
cooperation ... See more keywords
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Published in 2024 at "Physical review. E"
DOI: 10.1103/physreve.109.054203
Abstract: Time delays play a significant role in dynamical systems, as they affect their transient behavior and the dimensionality of their attractors. The number, values, and spacing of these time delays influences the eigenvalues of a…
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Keywords:
time;
multiple delays;
prediction;
reservoir computer ... See more keywords
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Published in 2019 at "IEEE Transactions on Automatic Control"
DOI: 10.1109/tac.2018.2832470
Abstract: We present a dual form of Lyapunov–Krasovskii functional which allows the problem of controller synthesis for multidelay systems to be formulated and solved in a convex manner. First, we give a generalized version of the…
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Keywords:
lyapunov;
second method;
systems multiple;
multiple delays ... See more keywords
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Published in 2024 at "Electronic Journal of Qualitative Theory of Differential Equations"
DOI: 10.14232/ejqtde.2024.1.39
Abstract: This note is a reaction on a recently published sufficient condition for oscillation of all solutions of a neutral delay differential equation. It is shown by a counterexample that the result is not correct and…
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Keywords:
note oscillation;
differential equations;
oscillation neutral;
multiple delays ... See more keywords
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Published in 2020 at "Applied Sciences"
DOI: 10.3390/app10103646
Abstract: Cutting chatter is extremely harmful to the machining process, and it is of great significance to eliminate chatter through analyzing the stability of the machining process. In this work, the stability of the milling process…
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Keywords:
stability analysis;
multiple delays;
process;
process multiple ... See more keywords
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Published in 2024 at "Mathematics"
DOI: 10.3390/math12081189
Abstract: This paper investigates the asymptotic and oscillatory properties of a distinctive class of third-order linear differential equations characterized by multiple delays in a noncanonical case. Employing the comparative method and the Riccati method, we introduce…
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Keywords:
delays noncanonical;
differential equations;
asymptotic oscillatory;
multiple delays ... See more keywords