Results 221 to 230 of about 26,297 (256)
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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 ...
Catherine Bonnet, Jonathan R. Partington
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Stability and delay sensitivity of neutral fractional-delay systems
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2016This paper generalizes the stability test method via integral estimation for integer-order neutral time-delay systems to neutral fractional-delay systems. The key step in stability test is the calculation of the number of unstable characteristic roots that is described by a definite integral over an interval from zero to a sufficient large upper limit.
Qi Xu, Min Shi, Zaihua Wang
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Stabilization of some fractional delay systems of neutral type
Automatica, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Catherine Bonnet, Jonathan R. Partington
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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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Chaos in a fractional-order neutral differential system
Applied Mathematics & Information Sciences, 2013In this paper, chaos in fractional-order neutral delay differential equation (NDDE) is discussed. Chaos in the system is illustrated by presenting its waveform graphs, states diagrams and largest Lyapunov exponent. The largest Lyapunov exponent (LLE) and the LLE of the system with different parameters are derived. In addition, we compare the fractional-
Yong Feng +3 more
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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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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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Solutions to fractional neutral delay differential nonlocal systems
Chaos, Solitons & Fractals, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
N. Valliammal +2 more
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Stability analysis of generalized neutral fractional differential systems with time delays
Applied Mathematics Letters, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jing Ren, Chengbo Zhai
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Asymptotic stability of nonlinear fractional neutral singular systems
Journal of Applied Mathematics and Computing, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lu, Yanfen, Wu, Ranchao, Qin, Zhiquan
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