|| T. Takagi and M. Sugeno, “Fuzzy identiﬁcation of systems and its applications to modelling|
and control,” IEEE Trans. Syst., Man, Cybern., vol. 15, no. 1, pp. 116–132, Jan. 1985.
 M. Sugeno and G. Kang, “Structure identiﬁcation of fuzzy model,” Fuzzy Set and Systems,
vol. 28, pp. 15–33, 1988.
 K. Tanaka and M. Sugeno, “Stability analysis and design of fuzzy control systems,” Fuzzy
Set and Systems, vol. 45, pp. 135–156, 1992.
 W. Haddad and D. Bernstein, “Explicit construction of quadratic Lyapunov functions
for the small gain, positive, circle and Popov theorems and their application to robust
stability. Part II: discrete-time theory,” Int’l J. of Robust and Nonlinear Control, vol. 4,
pp. 249–265, 1994.
 T. Taniguchi, K. Tanaka, H. Ohatake, and H. Wang, “Model construction, rule reduction
and robust compensation for generalized form of Takagi-Sugeno fuzzy systems,” IEEE
Trans. Fuzzy Systems, vol. 9, no. 4, pp. 525–538, Aug. 2001.
 H. Wang, J. Li, D. Niemann, and K. Tanaka, “T-S fuzzy model with linear rule consequence
and PDC controller: a universal framework for nonlinear control systems,” in Proc. of 18th
Int’l Conf. of the North American Fuzzy Information Processing Society, 2000.
 K. Tanaka, T. Taniguchi, and H. Wang, “Generalized Takagi-Sugeno fuzzy systems: rule
reduction and robust control,” in Proc. of 7th IEEE Conf. on Fuzzy Systems, 2000.
 H. Wang, K. Tanaka, and M. Griﬃn, “An approach to fuzzy control of nonlinear systems:
stability and design issues,” IEEE Trans. Fuzzy Systems, vol. 4, no. 1, pp. 14–23, Feb.
 K. Tanaka and H. Wang, Fuzzy Control Systems Design: A Linear Matrix Inequality
Approach. New York, NY: John Wiley & Sons, Inc., 2001.
 K. Tanaka, T. Ikeda, and H. Wang, “Fuzzy regulators and fuzzy observers: relaxed stability
conditions and LMI-based designs,” IEEE Trans. Fuzzy Systems, vol. 6, no. 2, pp. 250–265,
 J. Lo and M. Lin, “Observer-based robust H∞ control for fuzzy systems using two-step
procedure,” IEEE Trans. Fuzzy Systems, vol. 12, no. 3, pp. 350–359, Jun. 2004.
 ——, “Robust H∞ nonlinear control via fuzzy static output feedback,” IEEE Trans. Cir-
cuits and Syst. I: Fundamental Theory and Applications, vol. 50, no. 11, pp. 1494–1502,
 E. Kim and H. Lee, “New approaches to relaxed quadratic stability condition of fuzzy
control systems,” IEEE Trans. Fuzzy Systems, vol. 8, no. 5, pp. 523–534, Oct. 2000.
 X. Liu and Q. Zhang, “New approaches to H∞ controller designs based on fuzzy observers
for T-S fuzzy systems via LMI,” Automatica, vol. 39, pp. 1571–1582, 2003.
 C. Fang, Y. Liu, S. Kau, L. Hong, and C. Lee, “A new LMI-based approach to relaxed
quadratic stabilization of T-S fuzzy control systems,” IEEE Trans. Fuzzy Systems, vol. 14,
no. 3, pp. 386–397, Jun. 2006.
 M. Teixeira, E. Assuncao, and R. Avellar, “On relaxed LMI-based design for fuzzy reg-
ulators and fuzzy observers,” IEEE Trans. Fuzzy Systems, vol. 11, no. 5, pp. 613–623,
 R. Oliveira and P. Peres, “LMI conditions for robust stability analysis based on polynomi-
ally parameter-dependent Lyapunov functions,” Syst. & Contr. Lett., vol. 55, pp. 52–61,
 ——, “Parameter-dependent LMIs in robust analysis: characterization of homogeneous
polynomially parameter-dependent solutions via LMI relaxations,” IEEE Trans. Automatic
Control, vol. 52, no. 7, pp. 1334–1340, Jul. 2007.
 ——, “LMI conditions for the existence of polynomially parameter-dependent Lyapunov
functions assuring robust stability,” in Proc. of 44th IEEE Conf. on Deci and Contr,
Seville, Spain, Dec. 2005, pp. 1660–1665.
 G. Hardy, J. Littlewood, and G. P´lya, Inequalities, second edition.o
Cambridge University Press, 1952.
 R. Oliveira and P. Peres, “Stability of polytopes of matrices via aﬃne parameter-dependent
Lyapunov functions: Asymptotically exact LMI conditions,” Linear Algebra and its Ap-
plications, vol. 405, pp. 209–228, 2005.
 V. Montagner, R. Oliveira, P. Peres, and P.-A. Bliman, “Linear matrix inequality charac-
terization for H∞ and H2 guaranteed cost gain-scheduling quadratic stabilization of linear
time-varying polytopic systems,” IET Control Theory & Appl., vol. 1, no. 6, pp. 1726–1735,
 V. Montagner, R. Oliveira, and P. Peres, “Necessary and suﬃcient LMI conditions to
compute quadratically stabilizing state feedback controller for Takagi-sugeno systems,” in
Proc. of the 2007 American Control Conference, Jul. 2007, pp. 4059–4064.
 J. Lo and J. Wan, “Dissipative control to fuzzy systems with nonlinearity at the input,”
in The 2007 CACS International Automatic Control Conference, Taichung,Tw, Nov. 2007,
 ——, “Studies on LMI relaxations for fuzzy control systems via homogeneous polynomials,”
IET Control Theory & Appl., vol. 4, no. 11, pp. 2293–2302, Nov. 2010.
 J. Wan and J. Lo, “LMI relaxations for nonlinear fuzzy control systems via homoge-
neous polynomials,” in The 2008 IEEE World Congress on Computational Intelligence,
FUZZ2008, Hong Kong, CN, Jun. 2008, pp. 134–140.
 K. Tanaka, T. Ikeda, and H. Wang, “Robust stabilization of a class of uncertain nonlinear
systems via fuzzy control: quadratic stabilizability, H ∞ control theory, and linear matrix
inequalities,” IEEE Trans. Fuzzy Systems, vol. 4, no. 1, pp. 1–13, Feb. 1996.
 X.-J. Ma, Z.-Q. Sun, and Y.-Y. He, “Analysis and design of fuzzy controller and fuzzy
observer,” IEEE Trans. Fuzzy Systems, vol. 6, no. 1, pp. 41–51, Feb. 1998.
 J. Lo and M. Lin, “Observer-Based Robust H∞ Control for Fuzzy Systems Using Two-Step
Procedure ,” IEEE Trans. Fuzzy Systems, vol. 15, no. 5, pp. 840–851, Oct. 2007.
 J. Yoneyama, M. Nishikawa, H. Katayama, and A. Ichikawa, “Output stabilization of
Takagi-Sugeno fuzzy systems,” Fuzzy Set and Systems, vol. 111, pp. 253–266, 2000.