Mixed-order impulsive ordinary and fractional differential equations with initial conditions
In this paper, using the idea of separated intervals in non-instantaneous impulsive equations, we initiate the study of initial value problems for mixed-order ordinary and fractional differential equations with instantaneous impulsive effects.
Suphawat Asawasamrit +3 more
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Periodic problem for non-instantaneous impulsive partial differential equations
<abstract><p>We obtain a new maximum principle of the periodic solutions when the corresponding impulsive equation is linear. If the nonlinear is quasi-monotonicity, we study the existence of the minimal and maximal periodic mild solutions for impulsive partial differential equations by using the perturbation method, the monotone iterative ...
Huanhuan Zhang, Jia Mu
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Work minimization accounts for footfall phasing in slow quadrupedal gaits [PDF]
Quadrupeds, like most bipeds, tend to walk with an even left/right footfall timing. However, the phasing between hind and forelimbs shows considerable variation.
Self Davies, Z T, Usherwood, J R
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Trajectory Controllability of Dynamical Systems with Non-instantaneous Impulses
This manuscript considered the system governed by the non-instantaneous impulsive evolution control system and discusses trajectory controllability of the governed system with classical and nonlocal initial conditions over the general Banach space. The results of the trajectory controllability for governed systems are obtained through the concept of ...
Vishant Shah +2 more
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Practical stability of differential equations with non-instantaneous impulses [PDF]
The concept of practical stability is generalized to nonlinear differential equations with non-instantaneous impulses. These type of impulses start their action abruptly at some points and then continue on given finite intervals. The practical stability and strict practical stability is studied using Lyapunov like functions and comparison results for ...
Agarwal, Ravi P. +2 more
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Caputo Fractional Differential Equations with Non-Instantaneous Random Erlang Distributed Impulses
The p-moment exponential stability of non-instantaneous impulsive Caputo fractional differential equations is studied. The impulses occur at random moments and their action continues on finite time intervals with initially given lengths. The time between
Snezhana Hristova, Krasimira Ivanova
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Displaced geostationary orbit design using hybrid sail propulsion [PDF]
Because of an increase in the number of geostationary spacecraft and the limits imposed by east–west spacing requirements, the geostationary orbit is becoming congested. To increase its capacity, this paper proposes to create new geostationary slots by
Becerra V. M. +14 more
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Stability properties of neural networks with non-instantaneous impulses
In this paper, we consider neural networks in the case when the neurons are subject to a certain impulsive state displacement at fixed moments and the duration of this displacement is not negligible small (these are known as non-instantaneous impulses). We examine some stability properties of the equilibrium of the model.
Agarwal, Ravi +3 more
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Minimal data rate stabilization of nonlinear systems over networks with large delays [PDF]
Control systems over networks with a finite data rate can be conveniently modeled as hybrid (impulsive) systems. For the class of nonlinear systems in feedfoward form, we design a hybrid controller which guarantees stability, in spite of the measurement ...
De Persis, Claudio
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On abstract differential equations with non instantaneous impulses
We introduce a class of abstract differential equation with non instantaneous impulses which extend and generalize some recent models considered in the literature. We study the existence of mild and classical solution and present some applications involving partial differential equations with non-instantaneous impulses.
Hernández, Eduardo +2 more
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