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math.OC2021
The Cayley transform of the generator of a polynomially stable -semigroup
Masashi Wakaiki
In this paper, we study the decay rate of the Cayley transform of the generator of a polynomially stable -semigroup. To estimate the decay rate of the Cayley transform, for po…
math.OC2019
Stability Analysis of Perturbed Infinite-dimensional Sampled-data Systems
Masashi Wakaiki, Yutaka Yamamoto
This paper addresses the stability analysis of infinite-dimensional sampled-data systems under unbounded perturbations. We present two classes of unbounded perturbations preserving…
math.OC2018
LQ-optimal Sample-data Control under Stochastic Delays: Gridding Approach for Stabilizability and Detectability
Masashi Wakaiki, Masaki Ogura, Joao P. Hespanha
We solve a linear quadratic optimal control problem for sampled-data systems with stochastic delays. The delays are stochastically determined by the last few delays. The proposed o…