Generalizations of asymptotic gain characterizations of ISS to input-to-output stability
Authors:
- E.D. SontagESE.D. Sontag
- Yuan WangYWYuan Wang
- 1 January 2001
- conference paper
- Published by Institute of Electrical and Electronics Engineers (IEEE)
- Vol. 3, 2279-2284 vol.3
Abstract
This paper generalizes to the case of output stability the study of a separation principle for input-to-state stability (ISS), which says that the ISS property can be expressed as the conjunction of stability and an asymptotic gain condition. It is shown that the direct generalization of ISS to outputs, known as input-to-output stability (IOS), only allows a separation principle under an additional condition of output Lagrange stability, meaning that outputs are stable with respect to initial outputs and inputs.Keywords
This publication has 19 references indexed in Scilit:
- A new definition of the minimum-phase property for nonlinear systems, with an application to adaptive control2002
- Input-to-state stability (ISS) analysis for dynamic neural networksIEEE Transactions on Circuits and Systems I: Regular Papers, 1999
- Nonlinear output feedback tracking with almost disturbance decouplingIEEE Transactions on Automatic Control, 1999
- Constructive Nonlinear Control1997
- Robust Nonlinear Control Design1996
- A Smooth Converse Lyapunov Theorem for Robust StabilitySIAM Journal on Control and Optimization, 1996
- New characterizations of input-to-state stabilityIEEE Transactions on Automatic Control, 1996
- On characterizations of the input-to-state stability propertySystems & Control Letters, 1995
- Feedback Stabilization of Nonlinear Systems: Sufficient Conditions and Lyapunov and Input-output Techniques1995
- Smooth stabilization implies coprime factorizationIEEE Transactions on Automatic Control, 1989