Stability and stabilization of a class of fractional-order nonlinear systems for 1
暂无分享,去创建一个
[1] B. Onaral,et al. Linear approximation of transfer function with a pole of fractional power , 1984 .
[2] I. Podlubny. Fractional differential equations , 1998 .
[3] D. Kusnezov,et al. Quantum Levy Processes and Fractional Kinetics , 1999, chao-dyn/9901002.
[4] 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..
[5] D. Baleanu,et al. Fractional Electromagnetic Equations Using Fractional Forms , 2009 .
[6] Jun-Guo Lu,et al. Robust Stability and Stabilization of Fractional-Order Interval Systems: An LMI Approach , 2009, IEEE Transactions on Automatic Control.
[7] Igor Podlubny,et al. Mittag-Leffler stability of fractional order nonlinear dynamic systems , 2009, Autom..
[8] Ravi P. Agarwal,et al. Stability analysis of fractional differential system with Riemann-Liouville derivative , 2010, Math. Comput. Model..
[9] Mathieu Moze,et al. LMI stability conditions for fractional order systems , 2010, Comput. Math. Appl..
[10] Chuang Li,et al. Robust stability and stabilization of fractional order interval systems with coupling relationships: The 0 , 2012, J. Frankl. Inst..
[11] M. P. Aghababa. Robust stabilization and synchronization of a class of fractional-order chaotic systems via a novel fractional sliding mode controller , 2012 .
[12] Yong-Hong Lan,et al. Observer-based robust control of a (1⩽ a ≪ 2) fractional-order uncertain systems: a linear matrix inequality approach , 2012 .
[13] M. P. Aghababa. A novel terminal sliding mode controller for a class of non-autonomous fractional-order systems , 2013 .
[14] Jimin Yu,et al. Generalized Mittag-Leffler stability of multi-variables fractional order nonlinear systems , 2013, Autom..
[15] Ningning Yang,et al. A novel fractional-order hyperchaotic system stabilization via fractional sliding-mode control , 2013 .
[16] Diyi Chen,et al. Application of Takagi–Sugeno fuzzy model to a class of chaotic synchronization and anti-synchronization , 2013 .
[17] Lorenz T. Biegler,et al. Optimization of Fractional Order Dynamic Chemical Processing Systems , 2014 .
[18] Bilal Senol,et al. A numerical investigation for robust stability of fractional-order uncertain systems. , 2014, ISA transactions.
[19] Manuel A. Duarte-Mermoud,et al. Lyapunov functions for fractional order systems , 2014, Commun. Nonlinear Sci. Numer. Simul..
[20] Yong Xu,et al. Response of Fractional Oscillators With Viscoelastic Term Under Random Excitation , 2014 .
[21] Zhe Gao,et al. A computing method on stability intervals of time-delay for fractional-order retarded systems with commensurate time-delays , 2014, Autom..
[22] Jinde Cao,et al. Finite-time stability analysis of fractional-order complex-valued memristor-based neural networks with time delays , 2014, Nonlinear Dynamics.
[23] Xinzhi Liu,et al. Fractional order Lyapunov stability theorem and its applications in synchronization of complex dynamical networks , 2014, Commun. Nonlinear Sci. Numer. Simul..
[24] S. Ghasemi,et al. Application of Fractional Calculus Theory to Robust Controller Design for Wind Turbine Generators , 2014, IEEE Transactions on Energy Conversion.
[25] Yang Ge,et al. Observer-based stabilisation of a class of fractional order non-linear systems for 0 α <;2 case , 2014 .
[26] Ruoxun Zhang,et al. Stability analysis of a class of fractional order nonlinear systems with order lying in (0, 2). , 2015, ISA transactions.
[27] Baogui Xin,et al. Finite-time stabilizing a fractional-order chaotic financial system with market confidence , 2015 .
[28] Ying Yang,et al. Robust Finite-Time Stability of Fractional Order Linear Time-Varying Impulsive Systems , 2015, Circuits Syst. Signal Process..
[29] Diyi Chen,et al. Modeling and stability analysis of a fractional-order Francis hydro-turbine governing system , 2015 .
[30] Hao Zhang,et al. Dynamic analysis and modeling of a novel fractional-order hydro-turbine-generator unit , 2015 .
[31] Hao Zhang,et al. The modeling of the fractional-order shafting system for a water jet mixed-flow pump during the startup process , 2015, Commun. Nonlinear Sci. Numer. Simul..
[32] Zhe Gao,et al. Robust stabilization criterion of fractional-order controllers for interval fractional-order plants , 2015, Autom..
[33] Richard L. Magin,et al. Chaos in the fractional order nonlinear Bloch equation with delay , 2015, Commun. Nonlinear Sci. Numer. Simul..
[34] Donglian Qi,et al. Non-linear Mittag–Leffler stabilisation of commensurate fractional-order non-linear systems , 2015 .
[35] P. Balasubramaniam,et al. Approximate controllability of a class of fractional neutral stochastic integro-differential inclusions with infinite delay by using Mainardi's function , 2015, Appl. Math. Comput..
[36] Bin Wang,et al. Robust finite-time control of fractional-order nonlinear systems via frequency distributed model , 2016 .
[37] M. Bettayeb,et al. Design of sliding mode controllers for nonlinear fractional-order systems via diffusive representation , 2016 .
[38] Bin Wang,et al. Stabilization conditions for fuzzy control of uncertain fractional order non-linear systems with random disturbances , 2016 .
[39] Mohammad Pourmahmood Aghababa,et al. Control of non-integer-order dynamical systems using sliding mode scheme , 2016, Complex..
[40] Sadegh Ebrahimkhani,et al. Robust fractional order sliding mode control of doubly-fed induction generator (DFIG)-based wind turbines. , 2016, ISA transactions.
[41] Yonghong Wu,et al. Hamiltonian model and dynamic analyses for a hydro-turbine governing system with fractional item and time-lag , 2017, Commun. Nonlinear Sci. Numer. Simul..