论文信息 - Lyapunov characterisations of input-output-to-state stability

Lyapunov characterisations of input-output-to-state stability

This paper explores Lyapunov characterizations of the input-output-to-state stability (IOSS) property for nonlinear systems. The notion of IOSS is a natural generalization of the standard detectability property used in the linear case. The main contribution of this work is to establish a complete equivalence between the input-output-to-state stability property and the existence of a certain type of smooth Lyapunov function.

[1] M. Krichman. A note on the integral-to-integral uniform output to state stability property , 1999, Proceedings of the 1999 American Control Conference (Cat. No. 99CH36251).

[2] Eduardo D. Sontag,et al. DETECTABILITY OF NONLINEAR SYSTEMS , 1996 .

[3] Yu. S. Ledyaev,et al. Asymptotic controllability implies feedback stabilization , 1997, IEEE Trans. Autom. Control..

[4] Eduardo Sontag,et al. Output-to-state stability and detectability of nonlinear systems , 1997 .

[5] Eduardo Sontag. Stability and stabilization: discontinuities and the effect of disturbances , 1999, math/9902026.

[6] Eduardo D. Sontag,et al. Mathematical Control Theory: Deterministic Finite Dimensional Systems , 1990 .

[7] Eduardo Sontag. Comments on integral variants of ISS , 1998 .

[8] Eduardo Sontag,et al. Forward Completeness, Unboundedness Observability, and their Lyapunov Characterizations , 1999 .

[9] W. Dayawansa,et al. Global stabilization by output feedback: examples and counterexamples , 1994 .

[10] Yuandan Lin,et al. A Smooth Converse Lyapunov Theorem for Robust Stability , 1996 .

[11] Eduardo Sontag,et al. A version of a converse Lyapunov theorem for input-output to state stability , 1998, Proceedings of the 37th IEEE Conference on Decision and Control (Cat. No.98CH36171).