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Approximate Controllability of Fractional Neutral Stochastic System with Infinite Delay
Reports on Mathematical Physics, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sakthivel, R., Ganesh, R., Suganya, S.
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Null Controllability of Nonlinear Fractional Stochastic Large-Scale Neutral Systems
Differential Equations and Dynamical Systems, 2016In this paper the authors have considered the problem of null controllability of nonlinear fractional stochastic large-scale neutral systems in the finite dimensional space. The results are established by means of the controllability Gramian matrix defined via Mittag-Leffler matrix function and the Schauder fixed point theorem.
Sathiyaraj, T., Balasubramaniam, P.
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Controllability of Nonlinear Neutral Fractional Integrodifferential Systems with Infinite Delay
Journal of Applied Nonlinear Dynamics, 2017Summary: In this paper, we establish sufficient conditions for the controllability of neutral fractional integrodifferential systems with infinite delay and infinite neutral fractional systems with implicit derivative. Fixed point approaches are employed for achieving the required results.
Balachandran, K., Divya, S.
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Asymptotic stability of fractional neutral stochastic systems with variable delays
European Journal of Control, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lu, Ziqiang, Zhu, Yuanguo, Xu, Qinqin
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Journal of Integral Equations and Applications, 2022
Consider the following semilinear neutral integro-differential equations with state-dependent delay: \[ d \bigg[ x(t) + \int_0^t N(t-s) x(s) ds \bigg] = \bigg[ - A x(t) + \int_0^t \gamma(t-s) x(s) ds + f(t,x_t) + B u(t) \bigg] dt \] \[ + g(t,x_t) dW(t) + h(t,x_t) d B^H(t), \quad t \in [0,T].
Cao, Nan, Fu, Xianlong
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Consider the following semilinear neutral integro-differential equations with state-dependent delay: \[ d \bigg[ x(t) + \int_0^t N(t-s) x(s) ds \bigg] = \bigg[ - A x(t) + \int_0^t \gamma(t-s) x(s) ds + f(t,x_t) + B u(t) \bigg] dt \] \[ + g(t,x_t) dW(t) + h(t,x_t) d B^H(t), \quad t \in [0,T].
Cao, Nan, Fu, Xianlong
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Controllability of nonlinear implicit neutral fractional Volterra integrodifferential systems
Journal of Vibration and Control, 2015In this paper, the control problem of nonlinear neutral fractional Volterra integrodifferential systems with implicit fractional derivative is established. Such kind of problems involve a number of problems on complex media. Sufficient conditions for controllability are obtained through the notions of a condensing map and measure of noncompactness of ...
Balachandran, K. +3 more
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Stabilization of some fractional delay systems of neutral type
Automatica, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bonnet, Catherine +1 more
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Analysis of fractional delay systems of retarded and neutral type
Automatica, 2002The authors study fractional systems with scalar transfer function given by \[ P(s)=\frac{\sum_{i=1}^{n_2} q_i(s) e^{-\beta_i s}}{\sum_{i=1}^{n_1} p_i(s) e^{-\gamma_i s}}, \] where \(0 ...
Bonnet, Catherine +1 more
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Riemann–Liouville Fractional Stochastic Neutral Integro‐Differential Systems
Mathematical Methods in the Applied SciencesABSTRACT This paper presents novel results on the asymptotic stability of mild solutions in the th moment for Riemann–Liouville fractional stochastic neutral integro‐differential systems (abbreviated as Riemann–Liouville FSNIDSs) of order , using Banach's contraction mapping principle.
Chahra Kechar +2 more
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On the Stability of Fractional-Order Systems of Neutral Type
Journal of Computational and Nonlinear Dynamics, 2015AbstractThe aim of this study is to offer a new analytical method for the stability testing of neutral type linear time-invariant (LTI) time-delayed fractional-order systems with commensurate orders and multiple commensurate delays. It is evident from the literature that the stability assessment of this class of dynamics remains unsolved yet and this ...
Mohammad Ali Pakzad +2 more
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