The non-uniform in time small-gain theorem for a wide class of control systems with outputs

The notions of non-uniform in time robust global asymptotic output stability and non-uniform in time input-to-output stability (IOS) are extended to cover a wide class of control systems with outputs that includes (finite or infinite-dimensional) discrete-tune and continuous-time control systems. A small-gain theorem, which makes use of the notion of non-uniform in tune IOS property, is presented.