论文信息 - Stability of nonlinear polynomial ARMA models and their inverse

Stability of nonlinear polynomial ARMA models and their inverse

Stability and invertibility of discrete time Polynomial ARMA models are studied in an 'extended neighbourhood' to extend the local results obtained earlier. The analysis combines linear robust control and classical nonlinear system theories. Polynomial ARMA models are used as examples illustrating the theory.

Evelio Hernández | Y. Arkun

[1] Yaman Arkun,et al. Control of Nonlinear Systems Using Input Output Information , 1995 .

[2] Sheng Chen,et al. Modelling and analysis of non-linear time series , 1989 .

[3] Kumpati S. Narendra,et al. Identification and control of dynamical systems using neural networks , 1990, IEEE Trans. Neural Networks.

[4] C. Economou. An operator theory approach to nonlinear controller design , 1986 .

[5] A. A. Desrochers,et al. Modeling of nonlinear discrete-time systems from input-output data , 1988, Autom..

[6] J. B. Pearson,et al. Performance robustness of discrete-time systems with structured uncertainty , 1990, 29th IEEE Conference on Decision and Control.

[7] S. Billings,et al. Orthogonal parameter estimation algorithm for non-linear stochastic systems , 1988 .

[8] Heinz Unbehauen,et al. Structure identification of nonlinear dynamic systems - A survey on input/output approaches , 1990, Autom..

[9] G. Zames. On the input-output stability of time-varying nonlinear feedback systems--Part II: Conditions involving circles in the frequency plane and sector nonlinearities , 1966 .

[10] Yaman Arkun,et al. Control of nonlinear systems using polynomial ARMA models , 1993 .

[11] Manfred Morari,et al. Robust Controller Design for a Nonlinear CSTR , 1989, 1989 American Control Conference.