Masashi Wakaiki

activity

20242026

collaborators

5 papers

math.FA2026

Relation between semigroup growth and resolvent decay for immediately differentiable semigroups

Masashi Wakaiki

We study the rate of growth of $∥ A T (t) ∥$ as $t ↓ 0$ for an immediately differentiable $C_{0}$ -semigroup $(T (t))_{t \geq 0}$ with generator $A$ . We assume that the resolven…

math.FA2026

Characterization of decay rates for discrete operator semigroups

Masashi Wakaiki

Let $T$ be a power-bounded linear operator on a Hilbert space $X$ , and let $S$ be a bounded linear operator from another Hilbert space $Y$ to $X$ . We investigate the non-exponentia…

math.OC2025

Self-triggered Stabilization of Contracting Systems under Quantization

Masashi Wakaiki

We propose self-triggered control schemes for nonlinear systems with quantized state measurements. Our focus lies on scenarios where both the controller and the self-triggering mec…

math.FA2025

Characterizations of the Crandall--Pazy Class of $C_{0}$ -semigroups on Hilbert Spaces and Their Application to Decay Estimates

Masashi Wakaiki

We investigate immediately differentiable $C_{0}$ -semigroups $(e^{- t A})_{t \geq 0}$ satisfying $sup_{0 < t < 1} t^{1/ I^^{2}} ∥ A e^{- t A} ∥ < \infty$ for some $0 < I^^{2} \leq 1$ . Such $C_{0}$ -sem…

math.FA2024

Decay estimates for Cayley transforms and inverses of semigroup generators via the $B$ -calculus

Masashi Wakaiki

Let $- A$ be the generator of a bounded $C_{0}$ -semigroup $(e^{- t A})_{t \geq 0}$ on a Hilbert space. First we study the long-time asymptotic behavior of the Cayley transform $V_Ï(A)…

Relation between semigroup growth and resolvent decay for immediately differentiable semigroups

Characterization of decay rates for discrete operator semigroups

Self-triggered Stabilization of Contracting Systems under Quantization

Characterizations of the Crandall--Pazy Class of C0​-semigroups on Hilbert Spaces and Their Application to Decay Estimates

Decay estimates for Cayley transforms and inverses of semigroup generators via the B-calculus

Characterizations of the Crandall--Pazy Class of $C_{0}$ -semigroups on Hilbert Spaces and Their Application to Decay Estimates

Decay estimates for Cayley transforms and inverses of semigroup generators via the $B$ -calculus