Results 11 to 20 of about 47,314 (311)
International Journal of Adaptive Control and Signal Processing, EarlyView., 2023 Summary In this contribution, we propose a detailed study of interpolation‐based data‐driven methods that are of relevance in the model reduction and also in the systems and control communities. The data are given by samples of the transfer function of the underlying (unknown) model, that is, we analyze frequency‐response data.
Quirin Aumann, Ion Victor Gosea
wiley +1 more source
Data‐driven performance metrics for neural network learning
International Journal of Adaptive Control and Signal Processing, EarlyView., 2023 Summary Effectiveness of data‐driven neural learning in terms of both local mimima trapping and convergence rate is addressed. Such issues are investigated in a case study involving the training of one‐hidden‐layer feedforward neural networks with the extended Kalman filter, which reduces the search for the optimal network parameters to a state ...
Angelo Alessandri +2 more
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Mathematical Biosciences and Engineering, 2019 We use the McKendrick equation with variable ageing rate and randomly distributed maturation time to derive a state dependent distributed delay differential equation.
Tyler Cassidy +2 more
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Accurate Solution for the Pantograph Delay Differential Equation via Laplace Transform
Mathematics, 2023 The Pantograph equation is a fundamental mathematical model in the field of delay differential equations. A special case of the Pantograph equation is well known as the Ambartsumian delay equation which has a particular application in Astrophysics.
Reem Alrebdi, Hind K. Al-Jeaid
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Sharp estimation for the solutions of inhomogeneous delay differential and Halanay type inequalities
Electronic Journal of Qualitative Theory of Differential Equations, 2018 This paper is devoted to inhomogeneous Halanay-type inequalities together with inhomogeneous linear delay differential inequalities and equations. Based on the the variation of constants formula and some results borrowed from a recent paper of the ...
István Győri, László Horváth
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Asymptotic and Oscillatory Properties of Noncanonical Delay Differential Equations
Fractal and Fractional, 2021 In this work, by establishing new asymptotic properties of non-oscillatory solutions of the even-order delay differential equation, we obtain new criteria for oscillation.
Osama Moaaz +2 more
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An instability theorem for a certain sixth order nonlinear delay differential equation
Journal of the Egyptian Mathematical Society, 2012 The aim of this paper is to establish an instability theorem for a certain sixth order nonlinear delay differential equation. The proof of the theorem is based on the use of Lyapunov–Krasovskii functional approach. By this work, we improve an instability
Cemil Tunç
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Properties of the third order trinomial functional differential equations
Electronic Journal of Qualitative Theory of Differential Equations, 2015 The purpose of the paper is to study asymptotic properties of the third-order delay differential equation \begin{equation*} {\left(r_2(t)\left(r_1(t)\left(y'(t)\right)^\gamma\right)'\right)'}+p(t){\left(y'(t)\right)^\gamma}+q(t)f\left(y\left(\tau(t ...
Blanka Baculíková +2 more
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Distributed Delay Differential Equation Representations of Cyclic Differential Equations [PDF]
SIAM Journal on Applied Mathematics, 2021 Compartmental ordinary differential equation (ODE) models are used extensively in mathematical biology. When transit between compartments occurs at a constant rate, the well-known linear chain trick can be used to show that the ODE model is equivalent to an Erlang distributed delay differential equation (DDE).
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On delay differential equations with impulses
Journal of Mathematical Analysis and Applications, 1989 AbstractSufficient conditions are obtained respectively for the asymptotic stability of the trivial solution of x(t) + ax(t − τ) = ∑j = 1∞ bjx(tj − )δ(t − tj), t ≠ tj and for the existence of a nonoscillatory solution; conditions are also obtained for all solutions to be oscillatory.
Kondalsamy Gopalsamy, B.G Zhang
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