References
- Aghababa, M.P. (2015). Design of hierarchical terminal sliding mode control scheme for fractional-order systems. IET Science, Measurement and Technology, 9, 122–133.
- Asadollahi, M., Ghiasi, A.R., & Dehghani, H. (2015). Excitation control of a synchronous generator using a novel fractional-order controller. IET Generation, Transmission and Distribution, 9, 2255–2260.
- Balochian, S., Sedigh, A.K., & Zare, A. (2011). Stabilization of multi-input hybrid fractional-order systems with state delay. ISA transactions, 50, 21–27.
- Boyd, S., Ghaoui, L.E., Feron, E., & Balakrishnan, V. (1994). Linear matrix inequalities in system and control theory. Philadelphia, PA: Society for Industrial and Applied Mathematics.
- Caponetto, R., Dongola, G., Fortuna, L., & Petras, I. (2010). Fractional order systems: Modeling and control applications. World Scientific.
- Ding, D., Qi, D., & Wang, Q. (2015). Non-linear Mittag–Leffler stabilisation of commensurate fractional-order non-linear systems. IET Control Theory and Applications, 9, 681–690.
- Farges, C., Fadiga, L., & Sabatier, J. (2013). H∞ analysis and control of commensurate fractional order systems. Mechatronics, 23, 772–780.
- Farges, C., Moze, M., & Sabatier, J. (2010). Pseudo-state feedback stabilization of commensurate fractional order systems. Automatica, 46, 1730–1734.
- Ghasemi, S., Tabesh, A., & Askari-Marnani, J. (2014). Application of fractional calculus theory to robust controller design for wind turbine generators. IEEE Transactions on Energy Conversion, 29, 780–787.
- Horn, R.A., & Johnson, C.R. (1985). Matrix analysis. Cambridge: Cambridge University Press.
- Ionescu, C.M., Machado, J.A.T., & Keyser, R.D. (2011). Modeling of the lung impedance using a fractional-order ladder network with constant phase elements. IEEE Transactions on Biomedical Circuits and Systems, 100, 83–89.
- Khargonekar, P.P., Petersen, I.R., & Zhou, K. (1990). Robust stabilization of uncertain linear systems: quadratic stabilizability and H∞ control theory. IEEE Transactions on Automatic Control, 35, 356–361.
- Lan, Y.H., & Zhou, Y. (2011). LMI-based robust control of fractional-order uncertain linear systems. Computers and Mathematics with Applications, 62, 1460–1471.
- Li, C., & Wang, J. (2012). Robust stability and stabilization of fractional order interval systems with coupling relationships: The 0 < α < 1 case. Journal of the Franklin Institute, 349, 2406–2419.
- Li, J., Lu, J.G., & Chen, Y.Q. (2013). Robust decentralized control of perturbed fractional-order linear interconnected systems. Computers and Mathematics with Applications, 66, 844–859.
- Lim, Y.H., Oh, K.K., & Ahn, H.S. (2013). Stability and stabilization of fractional-order linear systems subject to input saturation. IEEE Transactions on Automatic Control, 58, 1062–1067.
- Lin, J. (2014). Robust resilient controllers synthesis for uncertain fractional-order large-scale interconnected system. Journal of the Franklin Institute, 351, 1630–1643.
- Lu, J.G., & Chen, G.R. (2009). Robust stability and stabilization of fractional-order interval systems: an LMI approach. IEEE Transactions on Automatic Control, 54, 1294–1299.
- Lu, J.G., & Chen, Y.Q. (2010). Robust stability and stabilization of fractional-order interval systems with the fractional order: The 0 < α < 1 case. IEEE Transactions on Automatic Control, 55, 152–158.
- Mujumdar, A., Tamhane, B., and Kurode, S. (2015). Observer-based sliding mode control for a class of noncommensurate fractional-order systems. IEEE Transactions on Mechatronics, 20, 2504–2512.
- Pakzad, M.A., Pakzad, S., & Nekoui, M.A. (2015). Exact method for the stability analysis of time delayed linear-time invariant fractional-order systems. IET Control Theory and Applications, 9, 2357–2368.
- Petras, I. (2011). Fractional-order nonlinear systems: Modeling, analysis and simulation. Berlin Heidelberg: Springer Science and Business Media.
- Podlubny, I. (1999). Fractional differential equations. San Diego, CA: Academic Press.
- Rakkiyappan, R., Cao, J., & Velmurugan, G. (2014). Existence and uniform stability analysis of fractional-order complex-valued neural networks with time delays. IEEE Transactions on Neural Networks and Learning Systems, 26, 84–97.
- Sabatier, J., Agrawal, O.P., & Machado, J.A.T. (2007). Advances in fractional calculus: Theoretical developments and applications in physics and engineering. Dordrecht: Springer.
- Shen, J., & Lam, J. (2014). State feedback H∞ control of commensurate fractional-order systems. International Journal of Systems Science, 45, 363–372.
- Tavakoli-Kakhki, M., Haeri, M., & Tavazoei, M.S. (2013). Study on control input energy efficiency of fractional order control systems. IEEE Journal on Emerging and Selected Topics in Circuits and Systems, 3, 475–482.