A continuous-time behavior is one for which
\- \(\mathcal{T}=\mathbb{R}\);
\- U is a metric space;
\- \(y\) is a metric space;
and for each \(\sigma<\tau\) it holds that the domain of each $\lambda^{\sigma,
\tau}\( is an open subset of \)\mathcal{L}_{U}^{\infty}(\sigma, \tau)$ and
\(\lambda^{\sigma, \tau}\) is continuous.