Remarks on input to output stability

The property of input to output stability (IOS) was introduced about 10 years ago (E.D. Sontag, 1989), but most theoretical developments have until now dealt mainly with the special case of input to state stability. The article presents a small-gain theorem for IOS operators, as well as alternative properties and Lyapunov characterizations dealing with the IOS property for state-space systems.

[1]  Eduardo Sontag,et al.  On characterizations of the input-to-state stability property , 1995 .

[2]  B. Francis.  The linear multivariable regulator problem , 1976, 1976 IEEE Conference on Decision and Control including the 15th Symposium on Adaptive Processes.

[3]  A. Teel.  Connections between Razumikhin-type theorems and the ISS nonlinear small gain theorem , 1998, IEEE Trans. Autom. Control..

[4]  G. Zames.  On the input-output stability of time-varying nonlinear feedback systems Part one: Conditions derived using concepts of loop gain, conicity, and positivity , 1966 .

[5]  Eduardo Sontag,et al.  A notion of input to output stability , 1997, 1997 European Control Conference (ECC).

[6]  Alberto Isidori,et al.  Nonlinear Control Systems, Third Edition , 1995, Communications and Control Engineering.

[7]  Eduardo Sontag.  Smooth stabilization implies coprime factorization , 1989, IEEE Transactions on Automatic Control.

[8]  C. A. Desoer,et al.  Nonlinear Systems Analysis , 1978 .

[9]  Zhong-Ping Jiang,et al.  Small-gain theorem for ISS systems and applications , 1994, Math. Control. Signals Syst..

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