Properties of the stability boundary in linear distributed-order systems
作者： Ehsan Majma , Mohammad Saleh Tavazoei
DOI: 10.1080/00207721.2020.1773959
关键词: Boundary (topology) 、 BIBO stability 、 Mathematical analysis 、 Mathematics 、 Stability (probability) 、 Order (ring theory) 、 Bounded function
摘要: This paper mainly focuses on some behaviours of the bounded input-bounded output (BIBO) stability boundary in linear distributed-order system (LDOS). Finding an association between changes w...
sci-hub.st 参考文章(31)
Carl F. Lorenzo, Tom T. Hartley, Variable Order and Distributed Order Fractional Operators Nonlinear Dynamics. ,vol. 29, pp. 57- 98 ,(2002) , 10.1023/A:1016586905654
Yan Li, Hu Sheng, Yang Quan Chen, On distributed order integrator/differentiator Signal Processing. ,vol. 91, pp. 1079- 1084 ,(2011) , 10.1016/J.SIGPRO.2010.10.005
Hyo-Sung Ahn, YangQuan Chen, Technical communique: Necessary and sufficient stability condition of fractional-order interval linear systems Automatica. ,vol. 44, pp. 2985- 2988 ,(2008) , 10.1016/J.AUTOMATICA.2008.07.003
Fengyu Zhou, Yang Zhao, Yan Li, YangQuan Chen, Design, implementation and application of distributed order PI control ISA Transactions. ,vol. 52, pp. 429- 437 ,(2013) , 10.1016/J.ISATRA.2012.12.004
Zhuang Jiao, YangQuan Chen, Igor Podlubny, Distributed-Order Dynamic Systems Springer London. ,(2012) , 10.1007/978-1-4471-2852-6
Hong-lin Liao, Pin Lyu, Seakweng Vong, Ying Zhao, Stability of fully discrete schemes with interpolation-type fractional formulas for distributed-order subdiffusion equations Numerical Algorithms. ,vol. 75, pp. 845- 878 ,(2017) , 10.1007/S11075-016-0223-7
Maria Luísa Morgado, Magda Rebelo, Luis L. Ferrás, Neville J. Ford, Numerical solution for diffusion equations with distributed order in time using a Chebyshev collocation method Applied Numerical Mathematics. ,vol. 114, pp. 108- 123 ,(2017) , 10.1016/J.APNUM.2016.11.001
Amit S Chopade, Swapnil W Khubalkar, Anjali S Junghare, Mohan V Aware, Shantanu Das, None, Design and implementation of digital fractional order PID controller using optimal pole-zero approximation method for magnetic levitation system IEEE/CAA Journal of Automatica Sinica. ,vol. 5, pp. 977- 989 ,(2018) , 10.1109/JAS.2016.7510181
Song Liang, Ranchao Wu, Liping Chen, BIBO stability of fractional-order controlled nonlinear systems International Journal of Systems Science. ,vol. 48, pp. 1507- 1514 ,(2017) , 10.1080/00207721.2016.1269219
R. Mabel Lizzy, K. Balachandran, M. Suvinthra, Controllability of nonlinear stochastic fractional systems with distributed delays in control Journal of Control and Decision. ,vol. 4, pp. 153- 167 ,(2017) , 10.1080/23307706.2017.1297690