APPROXIMATION OF POSITIONAL IMPULSE CONTROLS FOR DIFFERENTIAL INCLUSIONS
Ural Mathematical Journal, 2022 Nonlinear control systems presented as differential inclusions with positional impulse controls are investigated. By such a control we mean some abstract operator with the Dirac function concentrated at each time. Such a control ("running impulse"), as a
Ivan A. Finogenko, Alexander N. Sesekin
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On Exact Controllability of First-Order Impulsive Differential Equations
Advances in Difference Equations, 2010 Many dynamical systems have an impulsive dynamical behavior due to abrupt changes at certain instants during the evolution process. The mathematical description of these phenomena leads to impulsive differential equations.
Juan J. Nieto, Christopher C. Tisdell
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The remarkable effectiveness of time-dependent damping terms for second order evolution equations [PDF]
, 2015 We consider a second order linear evolution equation with a dissipative term multiplied by a time-dependent coefficient. Our aim is to design the coefficient in such a way that all solutions decay in time as fast as possible.
Ghisi, Marina +2 more
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Mixed-order impulsive ordinary and fractional differential equations with initial conditions [PDF]
Advances in Difference Equations, 2019 Dans cet article, en utilisant l'idée d'intervalles séparés dans les équations impulsives non instantanées, nous commençons l'étude des problèmes de valeur initiale pour les équations différentielles ordinaires et fractionnaires d'ordre mixte avec des effets impulsifs instantanés.
Suphawat Asawasamrit +3 more
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Impulsive perturbations to differential equations: stable/unstable pseudo-manifolds, heteroclinic connections, and flux [PDF]
, 2016 State-dependent time-impulsive perturbations to a two-dimensional autonomous flow with stable and unstable manifolds are analysed by posing in terms of an integral equation which is valid in both forwards- and backwards-time.
Balasuriya, Sanjeeva
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Eventual stability and eventual boundedness for impulsive differential equations with “supremum”
Mathematical Modelling and Analysis, 2011 Eventual stability and eventual boundedness for nonlinear impulsive differential equations with supremums are studied. The impulses take place at fixed moments of time. Piecewise continuous Lyapunov functions have been applied.
Ivanka Stamova
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Numerical calculations near spatial infinity [PDF]
, 2006 After describing in short some problems and methods regarding the smoothness of null infinity for isolated systems, I present numerical calculations in which both spatial and null infinity can be studied.
Zenginoglu, Anil
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Asymptotic construction of pulses in the Hodgkin Huxley model for myelinated nerves [PDF]
, 2005 A quantitative description of pulses and wave trains in the spatially discrete Hodgkin-Huxley model for myelinated nerves is given. Predictions of the shape and speed of the waves and the thresholds for propagation failure are obtained.
Carpio, A.
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Some applications of Laplace transforms in models with impulses or discontinuous forcing functions [PDF]
Revista Brasileira de Ensino de FísicaCommonly, in Ordinary Differential Equations courses, equations with impulses or discontinuous forcing functions are studied. In this context, the Laplace Transform of the Dirac delta function and unit step function is taught, which are used as forcing ...
Diego Miranda Gonçalves +1 more
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Sliding mode and shaped input vibration control of flexible systems [PDF]
, 2008 Copyright [2008] IEEE. This material is posted here with permission of the IEEE. Such permission of the IEEE does not in any way imply IEEE endorsement of any of Brunel University's products or services.
Gao, H, Hu, Q, Wang, Z
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