Accurate difference methods for linear ordinary differential systems subject to linear constraints [PDF]
, 1969 We consider the general system of n first order linear ordinary differential equations y'(t)=A(t)y(t)+g(t ...
Keller, Herbert B.
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MATEC Web of Conferences, 2018 To simulate the non-linear vibrations of a floating bridge of a continuous system on separate floating supports with additional limiting supports at the ends with a moving load solves the most complicated problem which is the problem of describing the ...
Gridnev Sergey +3 more
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Observability of Linear Differential-algebraic Equations in the Class of Chebyshev Functions
Известия Иркутского государственного университета: Серия "Математика", 2017 We consider linear time-varying systems of first order ordinary differential equations unresolved with respect to the derivative of the unknown function and identically degenerate in the domain.
P.S. Petrenko
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On the birth of limit cycles for non-smooth dynamical systems [PDF]
, 2014 The main objective of this work is to develop, via Brower degree theory and regularization theory, a variation of the classical averaging method for detecting limit cycles of certain piecewise continuous dynamical systems.
Andronov +31 more
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Slow invariant manifolds as curvature of the flow of dynamical systems [PDF]
, 2014 Considering trajectory curves, integral of n-dimensional dynamical systems, within the framework of Differential Geometry as curves in Euclidean n-space, it will be established in this article that the curvature of the flow, i.e.
Chua, Leon +2 more
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Pontryagin principle for a Mayer problem governed by a delay functional differential equation
, 2016 We establish Pontryagin principles for a Mayer's optimal control problem governed by a functional differential equation. The control functions are piecewise continuous and the state functions are piecewise continuously differentiable.
Blot, Joël, Kon\', Mamadou Ibrahima
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A Framework for Worst-Case and Stochastic Safety Verification Using Barrier Certificates [PDF]
, 2007 This paper presents a methodology for safety verification of continuous and hybrid systems in the worst-case and stochastic settings. In the worst-case setting, a function of state termed barrier certificate is used to certify that all trajectories of ...
Jadbabaie, Ali +2 more
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Oscillation in the Food Rations for Neutral Differential Equation with Piecewise Constant
Journal of EngineeringThere are numerous real-world applications for delay differential equations, including engineering model systems with time delays, such as control systems and communication networks, time-limited meals, blood pressure, hemopoiesis, and others ...
Sora Ali Majeed, Hussain Ali Mohamad
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Almost periodic solutions of retarded SICNNs with functional response on piecewise constant argument [PDF]
, 2015 We consider a new model for shunting inhibitory cellular neural networks, retarded functional differential equations with piecewise constant argument. The existence and exponential stability of almost periodic solutions are investigated.
Akhmet, Marat +2 more
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Characteristic matrices for linear periodic delay differential equations [PDF]
, 2011 Szalai et al. (SIAM J. on Sci. Comp. 28(4), 2006) gave a general construction for characteristic matrices for systems of linear delay-differential equations with periodic coefficients.
Chow S. N., Jan Sieber, Robert Szalai
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