Robust stability analysis of a general class of interval delayed fractional order plants by a general form of fractional order controllers
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Majid Ghorbani | Mahsan Tavakoli‐Kakhki | M. Tavakoli‐Kakhki | Majid Ghorbani | Mahsan Tavakoli‐Kakhki
[1] D. Pandey,et al. Stability analysis of a fractional‐order delay dynamical model on oncolytic virotherapy , 2020, Mathematical Methods in the Applied Sciences.
[2] Hongguang Sun,et al. A review on variable-order fractional differential equations: mathematical foundations, physical models, numerical methods and applications , 2019, Fractional Calculus and Applied Analysis.
[3] Yousef Jamali,et al. The Concepts and Applications of Fractional Order Differential Calculus in Modeling of Viscoelastic Systems: A Primer. , 2019, Critical reviews in biomedical engineering.
[4] D. Baleanu,et al. Stability analysis of Caputo fractional-order nonlinear systems revisited , 2011, Nonlinear Dynamics.
[5] Zhe Gao,et al. Robust stability criterion for fractional-order systems with interval uncertain coefficients and a time-delay. , 2015, ISA transactions.
[6] YangQuan Chen,et al. Asymptotical stability of fractional order systems with time delay via an integral inequality , 2018, IET Control Theory & Applications.
[7] M. Busłowicz,et al. Stability of linear continuous-time fractional order systems with delays of the retarded type , 2008 .
[8] Driss Boutat,et al. A Unified Framework of Stability Theorems for LTI Fractional Order Systems With 0 < α < 2 , 2020, IEEE Transactions on Circuits and Systems II: Express Briefs.
[9] Daniel Melchor-Aguilar,et al. Modification of Mikhailov stability criterion for fractional commensurate order systems , 2018, J. Frankl. Inst..
[10] M. Tavazoei. Overshoot in the step response of fractional-order control systems , 2012 .
[11] Shu Liang,et al. Routh-type table test for zero distribution of polynomials with commensurate fractional and integer degrees , 2017, J. Frankl. Inst..
[12] Nusret Tan,et al. Robust stability analysis of fractional order interval polynomials. , 2009, ISA transactions.
[13] Ali Khaki Sedigh,et al. Design and implementation of smith predictor based fractional order PID controller on MIMO flow-level plant , 2015, 2015 23rd Iranian Conference on Electrical Engineering.
[14] S. Mobayen,et al. Linear matrix inequalities design approach for robust stabilization of uncertain nonlinear systems with perturbation based on optimally-tuned global sliding mode control , 2017 .
[15] Igor Podlubny,et al. Mittag-Leffler stability of fractional order nonlinear dynamic systems , 2009, Autom..
[16] Mahsan Tavakoli-Kakhki,et al. Robust FOPID stabilization of retarded type fractional order plants with interval uncertainties and interval time delay , 2019, J. Frankl. Inst..
[17] Vicente Feliu,et al. Optimal tunings for fractional PIDµ controllers , 2005 .
[18] Mohammad Haeri,et al. On robust stability of LTI fractional-order delay systems of retarded and neutral type , 2010, Autom..
[19] Jinde Cao,et al. Mittag‐Leffler stability and adaptive impulsive synchronization of fractional order neural networks in quaternion field , 2020, Mathematical Methods in the Applied Sciences.
[20] Dumitru Baleanu,et al. Robust stabilization of fractional-order chaotic systems with linear controllers: LMI-based sufficient conditions , 2014 .
[21] Mohammad Haeri,et al. Temperature Control of a Cutting Process Using Fractional Order Proportional-Integral-Derivative Controller , 2011 .
[22] D. Baleanu,et al. Stability analysis of impulsive fractional difference equations , 2018 .
[23] Yangquan Chen,et al. Robust stability test of a class of linear time-invariant interval fractional-order system using Lyapunov inequality , 2007, Appl. Math. Comput..
[24] Mohammad Haeri,et al. Robust stability testing function and Kharitonov-like theorem for fractional order interval systems , 2010 .
[25] M. Tavakoli‐Kakhki,et al. Robust stabilizability of fractional order proportional integral controllers for fractional order plants with uncertain parameters: A new value set based approach , 2019 .
[26] Zhe Gao,et al. Robust stabilization criterion of fractional-order controllers for interval fractional-order plants , 2015, Autom..
[27] Yangquan Chen,et al. Computers and Mathematics with Applications Stability of Fractional-order Nonlinear Dynamic Systems: Lyapunov Direct Method and Generalized Mittag–leffler Stability , 2022 .
[28] Vicente Feliú Batlle,et al. Design of a class of fractional controllers from frequency specifications with guaranteed time domain behavior , 2010, Comput. Math. Appl..
[29] Shiqi Zheng,et al. Robust stabilization of fractional‐order plant with general interval uncertainties based on a graphical method , 2018 .
[30] Y. Shen,et al. A graphical approach for stability and robustness analysis in commensurate and incommensurate fractional‐order systems , 2019, Asian Journal of Control.
[31] Zhe Gao. Robust stabilization of interval fractional-order plants with one time-delay by fractional-order controllers , 2017, J. Frankl. Inst..
[32] Mohammad Teshnehlab,et al. Adaptive type-2 fuzzy system for synchronisation and stabilisation of chaotic non-linear fractional order systems , 2017 .
[33] Alireza Fatehi,et al. Robust Fractional Order PI Controller Tuning Based on Bode’s Ideal Transfer Function , 2016 .
[34] Reza Mohsenipour,et al. Robust stability analysis of fractional‐order interval systems with multiple time delays , 2019, International Journal of Robust and Nonlinear Control.
[35] YangQuan Chen,et al. Fractional-order Systems and Controls , 2010 .
[36] Z. H. Wang,et al. A graphical test for the interval stability of fractional-delay systems , 2011, Comput. Math. Appl..
[37] Y. Chen,et al. Stability and resonance analysis of a general non-commensurate elementary fractional-order system , 2020 .
[38] Vahid Badri,et al. Some Analytical Results on Tuning Fractional-Order [Proportional–Integral] Controllers for Fractional-Order Systems , 2016, IEEE Transactions on Control Systems Technology.
[39] Qiankun Song,et al. Mittag-Leffler stability analysis of nonlinear fractional-order systems with impulses , 2017, Appl. Math. Comput..