Input-to-output stability (IOS) is a stability notion for control systems with outputs. IOS combines the uniform global asymptotic stability of the output dynamics with its robustness with respect to external inputs.
We characterize IOS of a general class of both continuous-time and discrete-time infinite dimensional systems in terms of weaker stability properties. Our results generalize the corresponding criteria for ordinary
differential equations achieved by Ingalls et al. [1] and those for infinite dimensional systems for which the output equals the state [2]. This way, we investigate the relation between several stability and attractivity properties
for infinite dimensional systems with outputs by providing the according implications and giving counterexamples, respectively.
This is joint work with Sergey Dashkovskiy (University of Würzburg) and Andrii Mironchenko (University of Klagenfurt, Austria).
References:
[1] B. Ingalls, E. D. Sontag, and Y. Wang, “Generalizations of asymptotic gain characterizations of ISS to input-to-output stability,” in Proc. of 2001 American Control Conference, Arlington, VA, United States: IEEE, 2001,
pp. 2279–2284. doi: 10.1109/acc.2001.946090.
[2] A. Mironchenko and F. Wirth, “Characterizations of input-to-state stability for infinite-dimensional systems,” IEEE Transactions on Automatic Control, vol. 63, no. 6, pp. 1692–1707, Jun. 2018, doi: 10.1109/tac.2017.2756341.
