44 citations · 89 across the 28 of their papers we have counts for
4 papers · 1 filter
Decay of Operator Semigroups, Infinite-time Admissibility, and Related Resolvent Estimates
Masashi Wakaiki
We study decay rates for bounded -semigroups from the perspective of -infinite-time admissibility and related resolvent estimates. In the Hilbert space setting, polynomia…
Self-triggered Consensus of Multi-agent Systems with Quantized Relative State Measurements
Masashi Wakaiki
This paper addresses the consensus problem of first-order continuous-time multi-agent systems over undirected graphs. Each agent samples relative state measurements in a self-trigg…
Robustness of Polynomial Stability with Respect to Sampling
Masashi Wakaiki
We provide a partially affirmative answer to the following question on robustness of polynomial stability with respect to sampling: ``Suppose that a continuous-time state-feedback…
Decay Rate of on a Hilbert Space and the Crank-Nicolson Scheme with Smooth Initial Data
Masashi Wakaiki
This paper is concerned with the decay rate of for the generator of an exponentially stable -semigroup on a Hilbert space. To estimate the decay rate o…