[1] | H. Ahn, Q. Chen, and I. Podlubny, Robust stability test of a class of linear time- invariant interval fractional-order system using Lyapunov M inequality, Appl. Math. Comput., vol. 187, no. 1, pp. 27–34, 2007. |
[2] | H. Ahn, Q. Chen, Necessary and sufficient stability condition of fractional-order interval linear systems, Automatic, vol. 44, no. 11,pp. 2985–2988, 2008. |
[3] | S.Boyd, L. ElGhaoui, E. Féron and L. Balakrishnan, Linear matrixinequalityin systems and control theory. Philadelphia: SIAM., V. (1994). |
[4] | Y. Chen, H. Ahn, and I. Podlubny, Robust stability check of fractional order linear time invariant systems with interval uncertainties, Signal Processing, vol. 86, pp. 2611–2618, 2006. |
[5] | L. Guoping, W. Daniel, Continuous Stabilization Controllers for Singular Bilinear Systems: The state Feedback Case, Automatic 42,pp. 309-314,(2006 a). |
[6] | L. Guoping, W. Daniel, Generalized Quadratic Stability for Continuous-Time Singular Systems with Nonlinear Perturbation, IEEE Transactions on Automatic Control, Vol.51, No.5, May (2006 b). |
[7] | P. Khargonakar, I. Petersen and K. Zhou, Robust stabilization of Uncertain linear systems: quadratic stability and H∞ control theory. IEEE Transactions on Automatic Control, 35, 356–361.(1990). |
[8] | J. Lu, Y. Chen, Robust stability and stabilization of fractional-order Interval systems with the fractional-order α: the 0 < α <1 case". IEEE Transactions On Automatic Control, 55,152–158. (2010). |
[9] | J. A. Machado, Special issue on fractional calculus and applications, Nonlin. Dynam., vol. 29, pp. 1–385, Mar. 2002. |
[10] | Nakagava. M & Sorimachi. K, Basic characteristics of a fractance device, IEICE Trans. Fund., vol. E75-A, no. 12, pp. 1814–1818, 1992. |
[11] | M. D Ortigueira, J. A. Machado ,Special issue on fractional signal processing and applications, Signal Processing, vol. 83, no. 11, pp. 2285–2480, Nov. 2003. |
[12] | A. Oustaloup, B. Mathieu, and P. Lanusse, The CRONE control of resonant plants: Application to a flexible transmission, Eur. J. Control, vol. 1, no. 2, pp. 113–121, 1995. |
[13] | I. Petráˇs, Y. Q. Chen, and B. M. Vinagre, Robust Stability Test forInterval Fractional Order Linear Systems, V. D. Blondel and A. Megretski, Eds. Princeton, NJ: Princeton Univ. Press, Jul. 2004, vol.208-210, ch. 6.5. |
[14] | I. Petráˇs, Y. Q. Chen, B. M. Vinagre, and I. Podlubny, Stability of linear time invariant systems with interval fractional orders and interval coefficients, in Proc. Int. Conf. Compute. Cybern. (ICCC’04), Viena, Austria, August 30– September 1 2005, pp. 1–4. |
[15] | I. Podlubny, Fractional Differential Equations". New York: Academic Press, 1999. |
[16] | I. Podlubny, Fractional-order systems and -controllers,” IEEE Trans. Autom. Control, vol. 44, no. 1, pp. 208–214, Jan. (1999). |
[17] | I. Podlubny, Geometric and physical interpretation of fractional Integration and fractional differentiation". Fractional Calculus & Applied Analysis, 5, 367–386, (2002). |
[18] | H. Raynaud and A. Zergaïnoh, State-space representation for fractional order controllers, Automatica, vol. 36, pp. 1017–1021, 2000. |
[19] | J. Sabatier, M. Moze and C. Farges, On stability of fractional order Systems. In Proc. |
[20] | IFAC workshop on fractional differentiation and its application. Ankara, Turkey (2008). |
[21] | S. Skaar, A. N. Micheland R. K. Miller, Stability of viscoelastic control systems, IEEE Trans. Autom. Control, vol. AC-33, no. 4, pp.48–357, Apr. 1988. |
[22] | S. Westerlund, Capacitor theory, IEEE Trans. Dielectr. Electron. Insul., vol. 1, no. 5, pp. 826–839, Oct. 1994. |
[23] | H. Zhang and F. Ding, On the H. Zhang and F. Ding, On the Kronecker Products and Their Applications, Hindawi Publishing pages. |