We present a discrete-time mathematical formulation for applying recursive digital filters to non-uniformly sampled signals. Our solution presents several desirable features: it preserves the stability of the original filters; is well-conditioned for low-pass, high-pass, and band-pass filters alike; its cost is linear in the number of samples and is not affected by the size of the filter suppor...

This paper addresses the stability analysis problem for a class of linear hyperbolic systems with distributed controllers sampled in space and time. First, considered system is recast an equivalent form continuous time control loop operators representing discretization errors (spatio-temporal sampling errors). Then help Lyapunov–Razumikhin approach, Rɛ-stability proposed balance laws verified v...