2 citations · 2 across the 3 of their papers we have counts for
3 papers
eess.SY2023
Symbolic-Numeric Computation of Integrals in Successive Galerkin Approximation of Hamilton-Jacobi-Bellman Equation
Tomoyuki Iori
This paper proposes an efficient symbolic-numeric method to compute the integrals in the successive Galerkin approximation (SGA) of the Hamilton-Jacobi-Bellman (HJB) equation. A so…
eess.SY2022
On First Integrals of Hamiltonian System with Holonomic Hamiltonian
Tomoyuki Iori
In this study, the solution of the Hamilton-Jacobi equation (HJE) with holonomic Hamiltonian is investigated in terms of the first integrals of the corresponding Hamiltonian system…
math.NA2021★ 2 cited
Bayesian filtering for nonlinear stochastic systems using holonomic gradient method with integral transform
Tomoyuki Iori, Toshiyuki Ohtsuka
This paper proposes a symbolic-numeric Bayesian filtering method for a class of discrete-time nonlinear stochastic systems to achieve high accuracy with a relatively small online c…