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Path Delays in the Neutral Atmosphere

2013
This part describes the effects of the troposphere—strictly speaking the neutral atmosphere—on the propagation delay of space geodetic signals. A theoretical description of this tropospheric propagation delay is given as well as strategies for correcting for it in the data analysis of the space geodetic observations.
Nilsson, T.   +5 more
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Periodicity on a class of neutral impulsive delay system

Applied Mathematics and Computation, 2008
Using topological degree theory, the authors investigate the existence of positive periodic solutions of the following impulsive delay differential system \[ N'(t)=N(t)\left[a(t)-\beta(t)N(t)-\sum_{i=1}^nb_i(t)N(t-\tau_i(t))- \sum_{i=1}^nc_i(t)N'(t-\tau_i(t))\right], \] \(t>0,\) \(t\not=t_k,\) \(N(t_k^+)=(1+b_k-h_k)N(t_k^-).\)
Liang Zhang, Hong-Xu Li
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A theorem on neutral delay systems

Systems & Control Letters, 1985
The author considers neutral delay equations with finitely many discrete non-commensurable delays. As is well known, the eigenvalues s of such an equation are asymptotically (as Im \(s\to \infty)\) determined by the eigenvalues of the difference part of the equation. These eigenvalues can be shifted only via derivative feedback.
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Damping Problem for a Neutral Control System with Delay

Doklady Mathematics, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Adkhamova A.S., Skubachevskii A.L.
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Oscillatory Phenomena in Neutral Delay Differential Equations

Acta Mathematica Hungarica, 1997
Consider the general odd-order delay differential equation of the type \[ x^{(n)}(t)+\sum^m_{i=1} q_ix(t-\sigma_i)=0. \tag{*} \] The authors show that if \(n\) is odd and \[ \frac 1n \left(\sum^m_{i=1}\sigma^n_i q_i\right)^{1/n}>\frac 1e \] then every solution to (*) oscillates.
Das, P., Mishra, B. B.
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On stability for a class of neutral delay-differential systems

Proceedings of the 2001 American Control Conference. (Cat. No.01CH37148), 2001
This paper deals with the stability problem for a class of linear neutral delay-differential system. The time-delay is assumed constant and known. Delays dependent criteria, which are written in the form of linear matrix inequalities, are derived. Numerical examples indicate significant improvements over some existing results.
Bo Ni, Qing-Long Han
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New stability conditions for GRNs with neutral delay

Soft Computing, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ticao Jiao   +2 more
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Asymptotic Stability of Neutral Systems with Multiple Delays

Journal of Optimization Theory and Applications, 1999
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Park, JH, Won, S
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Robust Stability of Uncertain Neutral Delay Systems

IEEE Transactions on Industrial Electronics, 2004
The stability of a linear neutral delay-differential system is studied, where both the system matrices and time delays may be uncertain. A sufficient condition is derived to guarantee the perturbed system is robustly stable. The computation of acceptable upper bounds for system matrix uncertainties and time-delay perturbations is also discussed, and an
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Chebyshev solution for neutral delay differential equations

International Journal of Computer Mathematics, 1999
A method is given for the numerical solution of a class of neutral and advanced delay differential equations, in the form of Chebyshev series. The method can be applied to system of neutral and advanced delay differential equations with single delay as well as with several delay terms. Moreover the method can be applied to stiff problems of these kinds.
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