Stability Analysis for Time-Varying Systems With Asynchronous Sampling Using Contractivity Approach

We provide new sufficient conditions for a generalized exponential input-to-state stability condition to hold. Our proofs use innovative trajectory based contractivity and cooperative systems arguments. Another key ingredient is variant of Halanay's inequality, which differs from prior Halanay inequalities because its sampling. allow arbitrarily long intervals between some consecutive sampling times, provided the times are frequently small enough. This removes significant limitation results that relied on versions inequality did not contain Unlike standard conditions, upper bounds norm current state in our less restrictive conclusions have suprema disturbances over include earlier than initial times. apply this letter broad class time-varying continuous time with