In the theory of linear H control, the strict bounded real lemma plays a critical role because it provides a connection between the stabilizing solutions to the H Riccati equations and the stability and disturbance attenuation of the closed loop system. Nonlinear versions of the strict bounded real lemma are also important in nonlinear H control theory. In this paper we investigate the extensio...

[3] S. T. Chung and J. W. Grizzle, “Internally exponentially stable nonlinear discrete-time noninteracting control via static feedback,” Int. J. Control, vol. 55, pp. 1071–1092, 1992. [4] E. Delaleau and M. Fliess, “Algorithme de structure, filtrations et découplage,” Crit. Rev. Acad. Sci. Paris, ser. I, vol. 315, pp. 101–106, 1992. [5] E. Delaleau and M. Fliess, “An algebraic interpretation of...

the purpose of this study is to implement a new modification of the variational iteration method (h-s-vim), which is a combination of spectral method and variational iteration method for heat transfer problems with high nonlinearity order. the merit of this method is that it does not require the solution of any linear or nonlinear system of equations unlike spectral method. furthermore the prop...