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Analysis of positive fractional-order neutral time-delay systems
Journal of the Franklin Institute, 2022 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Huseynov, Ismail T., Mahmudov, Nazim, I
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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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Mittag–Leffler stability of nonlinear fractional neutral singular systems
Communications in Nonlinear Science and Numerical Simulation, 2012The authors study the Mittag-Leffler stability of nonlinear fractional neutral singular systems for both Caputo and Riemann derivatives. Several sufficient conditions are established by extending the Lyapunov direct method to such systems. These results can also be applied to general fractional retarded, neutral and singular systems.
Liu, Song +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.
Catherine Bonnet, Jonathan R. Partington
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Controllability for a class of fractional-order neutral evolution control systems
Applied Mathematics and Computation, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Rathinasamy Sakthivel +2 more
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Chaos in a fractional-order neutral differential system [PDF]
Applied Mathematics & Information Sciences, 2013 In 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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Asymptotic stability of fractional neutral stochastic systems with variable delays
European Journal of Control, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ziqiang Lu, Yuanguo Zhu, Qinqin Xu
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Chaos, Solitons and Fractals, 2017 Sufficient conditions for relative controllability of stochastic fractional neutral systems with bounded operator and multiple time varying delay in the control are obtained.
Juan J. Trujillo, Krishnan Balachandran
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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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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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