REMARKS ON INPUT-TO-OUTPUT STABILITY FOR DISCRETE TIME SYSTEMS

Abstract In this work we discuss several notions on input-to-output stability for discrete time systems. We first discuss how the notions differ from each other, then we provide Lyapunov characterizations for these input-to-output stability properties.

[1]  Katsuhiko Ogata,et al.  Discrete-time control systems , 1987 .

[2]  P. Kokotovic,et al.  Sufficient conditions for stabilization of sampled-data nonlinear systems via discrete-time approximations , 1999 .

[3]  Eduardo Sontag,et al.  Formulas relating KL stability estimates of discrete-time and sampled-data nonlinear systems , 1999 .

[4]  A. R. Teelb,et al.  Formulas relating KL stability estimates of discrete-time and sampled-data nonlinear systems , 1999 .

[5]  Eduardo Sontag,et al.  Notions of input to output stability , 1999, Systems & Control Letters.

[6]  Eduardo D. Sontag,et al.  Lyapunov Characterizations of Input to Output Stability , 2000, SIAM J. Control. Optim..

[7]  Zhong-Ping Jiang,et al.  Input-to-state stability for discrete-time nonlinear systems , 1999 .

[8]  C. Kellett,et al.  On robustness of stability and Lyapunov functions for discontinuous difference equations , 2002, Proceedings of the 41st IEEE Conference on Decision and Control, 2002..

[9]  Dragan Nesic,et al.  A note on input-to-state stabilization for nonlinear sampled-data systems , 2002, IEEE Trans. Autom. Control..

[10]  Dragan Nesic,et al.  Integral versions of iss for sampled-data nonlinear systems via their approximate discrete-time models , 2002, IEEE Trans. Autom. Control..

[11]  Zhong-Ping Jiang,et al.  A converse Lyapunov theorem for discrete-time systems with disturbances , 2002, Syst. Control. Lett..

[12]  Dragan Nesic,et al.  A framework for stabilization of nonlinear sampled-data systems based on their approximate discrete-time models , 2004, IEEE Transactions on Automatic Control.

[13]  Jie Huang,et al.  Robust output regulation for discrete‐time nonlinear systems , 2005 .