Research Output 1995 2019

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2019
2 Citations (Scopus)

Applications of generalized trigonometric functions with two parameters

Kobayashi, H. & Takeuchi, S., 2019 May 1, In : Communications on Pure and Applied Analysis. 18, 3, p. 1509-1521 13 p.

Research output: Contribution to journalArticle

Boundary value problems
Differential equations

A Unified Approach to Consensus Control of Three-Link Manipulators

Zhai, G., Nakamura, S. & Mardlijah, 2019 Jan 1, In : Journal of Intelligent and Robotic Systems: Theory and Applications.

Research output: Contribution to journalArticle

Manipulators
Torque
Polynomials

Non-degeneracy conditions for braided finite tensor categories

Shimizu, K., 2019 Oct 15, In : Advances in Mathematics. 355, 106778.

Research output: Contribution to journalArticle

Open Access

Quadratic stabilization of switched uncertain linear systems: A convex combination approach

Chang, Y., Zhai, G., Fu, B. & Xiong, L., 2019 Sep 1, In : IEEE/CAA Journal of Automatica Sinica. 6, 5, p. 1116-1126 11 p., 8823574.

Research output: Contribution to journalArticle

Linear systems
Stabilization
Uncertainty
1 Citation (Scopus)

Quantum Grothendieck ring isomorphisms, cluster algebras and Kazhdan-Lusztig algorithm

Hernandez, D. & Oya, H., 2019 Apr 30, In : Advances in Mathematics. 347, p. 192-272 81 p.

Research output: Contribution to journalArticle

Sampled-data control of a class of switched nonlinear systems under asynchronous switching

Mao, J., Xiang, Z. & Zhai, G., 2019 Jan 1, (Accepted/In press) In : Journal of the Franklin Institute.

Research output: Contribution to journalArticle

Nonlinear systems
Feedback
Controllers
Lyapunov functions
Merging

Sampled-data output feedback stabilization for a class of switched stochastic nonlinear systems

Mao, J., Xiang, Z. & Zhai, G., 2019 Jul 10, In : International Journal of Robust and Nonlinear Control. 29, 10, p. 2844-2861 18 p.

Research output: Contribution to journalArticle

Nonlinear systems
Stabilization
Sampling
Feedback
Controllers
Density function
Stochastic differential equations
Continuous time
Discrete-time

Stability analysis for uncertain switched delayed complex-valued neural networks

Gunasekaran, N. & Zhai, G., 2019 Jan 1, (Accepted/In press) In : Neurocomputing.

Research output: Contribution to journalArticle

Neural networks
Linear matrix inequalities
MATLAB
Uncertainty
2018
5 Citations (Scopus)

Adaptive practical stabilization of a class of uncertain nonlinear systems via sampled-data control

Mao, J., Xiang, Z., Zhai, G. & Guo, J., 2018 Jun 1, In : Nonlinear Dynamics. 92, 4, p. 1679-1694 16 p.

Research output: Contribution to journalArticle

Nonlinear systems
Stabilization
Controllers
Closed loop systems
Sampling
5 Citations (Scopus)

A necessary and sufficient condition for designing formation of discrete-time multi-agent systems with delay

Xu, G., Huang, C. & Zhai, G., 2018 Nov 13, In : Neurocomputing. 315, p. 48-58 11 p.

Research output: Contribution to journalArticle

Multi agent systems
Polynomials
Decentralized control
Stabilization

A numerical method of estimating blow-up rates for nonlinear evolution equations by using rescaling algorithm

Anada, K., Ishiwata, T. & Ushijima, T., 2018 Mar 1, In : Japan Journal of Industrial and Applied Mathematics. 35, 1, p. 33-47 15 p.

Research output: Contribution to journalArticle

Invariance
Numerical methods
4 Citations (Scopus)

Complete p-elliptic integrals and a computation formula of πp for p= 4

Takeuchi, S., 2018 Jun 1, In : Ramanujan Journal. 46, 2, p. 309-321 13 p.

Research output: Contribution to journalArticle

Global practical stabilisation of a class of switched nonlinear systems via sampled-data control

Mao, J., Xiang, Z. & Zhai, G., 2018 Jan 1, (Accepted/In press) In : International Journal of Control.

Research output: Contribution to journalArticle

Nonlinear systems
Stabilization
Controllers
Sampling
Backstepping

Integrals for Finite Tensor Categories

Shimizu, K., 2018 Mar 13, (Accepted/In press) In : Algebras and Representation Theory. p. 1-35 35 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)

Min-plus eigenvalue of tridiagonal matrices in terms of the ultradiscrete Toda equation

Watanabe, S., Fukuda, A., Shigitani, H. & Iwasaki, M., 2018 Oct 8, In : Journal of Physics A: Mathematical and Theoretical. 51, 44, 444001.

Research output: Contribution to journalArticle

eigenvalues
Linear algebra
Directed graphs
matrices
Algebra
3 Citations (Scopus)

Necessary and sufficient conditions for consensus in third order multi-agent systems

Huang, C., Zhai, G. & Xu, G., 2018 Nov 1, In : IEEE/CAA Journal of Automatica Sinica. 5, 6, p. 1044-1053 10 p., 8436488.

Research output: Contribution to journalArticle

Multi agent systems
Polynomials
Communication

On the motivic Peterson conjecture

Kameko, M., 2018 Jan 1, In : Homology, Homotopy and Applications. 20, 2, p. 361-375 15 p.

Research output: Contribution to journalArticle

Periodic convergence in the discrete hungry Toda equation

Takahashi, Y., Iwasaki, M., Fukuda, A., Ishiwata, E. & Nakamura, Y., 2018 Jul 16, In : Journal of Physics A: Mathematical and Theoretical. 51, 34, 344001.

Research output: Contribution to journalArticle

infinity

Quadratic Performance Analysis of Switched Affine Time-Varying Systems

Li, W., Huang, C. & Zhai, G., 2018 Sep 1, In : International Journal of Applied Mathematics and Computer Science. 28, 3, p. 429-440 12 p.

Research output: Contribution to journalArticle

Time varying systems
State feedback
Feedback
1 Citation (Scopus)

Quiver-theoretical approach to dynamical Yang–Baxter maps

Matsumoto, D. K. & Shimizu, K., 2018 Aug 1, In : Journal of Algebra. 507, p. 47-80 34 p.

Research output: Contribution to journalArticle

2017

Acceleration of a preconditioning method for ill-conditioned dense linear systems by use of a BLAS-based method

Kobayashi, Y., Ogita, T. & Ozaki, K., 2017, In : Reliable Computing. 25, p. 15-23 9 p.

Research output: Contribution to journalArticle

Linear systems
Digital arithmetic
Factorization
Experiments

Bañados–Teitelboim–Zanelli black hole in the information geometry

Matsueda, H. & Suzuki, T., 2017 Oct 15, In : Journal of the Physical Society of Japan. 86, 10, 104001.

Research output: Contribution to journalArticle

geometry
Legendre functions
event horizon
falling
entropy
2 Citations (Scopus)

Blow-up rates of solutions of initial-boundary value problems for a quasi-linear parabolic equation

Anada, K. & Ishiwata, T., 2017 Jan 5, In : Journal of Differential Equations. 262, 1, p. 181-271 91 p.

Research output: Contribution to journalArticle

Boundary value problems
Boundary conditions

Compare the ratio of symmetric polynomials of odds to one and stop

Matsui, T. & Ano, K., 2017 Mar 1, In : Journal of Applied Probability. 54, 1, p. 12-22 11 p.

Research output: Contribution to journalArticle

Polynomials
Lower bounds

Generation of linear systems with specified solutions for numerical experiments

Ozaki, K. & Ogita, T., 2017, In : Reliable Computing. 25, p. 148-167 20 p.

Research output: Contribution to journalArticle

Linear systems
Experiments

Mod 3 Chern classes and generators

Kameko, M., 2017 Jul 1, In : Proceedings of the Japan Academy Series A: Mathematical Sciences. 93, 7, p. 55-60 6 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)

Representation theory and the cycle map of a classifying space

Kameko, M., 2017 Mar 1, In : Algebraic Geometry. 4, 2, p. 221-228 8 p.

Research output: Contribution to journalArticle

Structure-preserving numerical scheme for a generalized area-preserving crystalline curvature flow

Ishiwata, T. & Yazaki, S., 2017 Jan 1, In : Computer Methods in Materials Science. 17, 2, p. 122-135 14 p.

Research output: Contribution to journalArticle

Crystalline materials
1 Citation (Scopus)

The relative modular object and Frobenius extensions of finite Hopf algebras

Shimizu, K., 2017 Feb 1, In : Journal of Algebra. 471, p. 75-112 38 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)

Volatility risk structure for options depending on extrema

Nakatsu, T., 2017 Dec 1, In : Journal of Computational Finance. 21, 3, p. 105-122 18 p.

Research output: Contribution to journalArticle

Elasticity
Decomposition
Black-Scholes model
Volatility risk
Vega
2016
9 Citations (Scopus)

A new form of the generalized complete elliptic integrals

Takeuchi, S., 2016 Mar 25, In : Kodai Mathematical Journal. 39, 1, p. 202-226 25 p.

Research output: Contribution to journalArticle

3 Citations (Scopus)

Error-free transformation of matrix multiplication with a posteriori validation

Ozaki, K., Ogita, T. & Oishi, S., 2016 Oct 1, In : Numerical Linear Algebra with Applications. 23, 5, p. 931-946 16 p.

Research output: Contribution to journalArticle

Digital arithmetic
Linear algebra
3 Citations (Scopus)

Explicit representations for the expectations of exponential functionals of the multi-factor variance gamma process and their applications

Ivanov, R. V. & Ano, K., 2016 Jan 2, In : Stochastics. 88, 1, p. 57-72 16 p.

Research output: Contribution to journalArticle

Costs
13 Citations (Scopus)

Exponential consensus for hierarchical multi-Agent systems with switching topology and inter-layer communication delay

Duan, Z., Zhai, G. & Xiang, Z., 2016 Feb 26, In : IET Control Theory and Applications. 10, 4, p. 451-460 10 p.

Research output: Contribution to journalArticle

Multi agent systems
Topology
Graph theory
Communication
System theory
1 Citation (Scopus)

Lower bounds for bruss' odds problem with multiple stoppings

Matsui, T. & Ano, K., 2016 May 1, In : Mathematics of Operations Research. 41, 2, p. 700-714 15 p.

Research output: Contribution to journalArticle

Random variables
Lower bounds
Secretary problem
7 Citations (Scopus)

Multiple-angle formulas of generalized trigonometric functions with two parameters

Takeuchi, S., 2016 Dec 15, In : Journal of Mathematical Analysis and Applications. 444, 2, p. 1000-1014 15 p.

Research output: Contribution to journalArticle

7 Citations (Scopus)

On exact pricing of FX options in multivariate time-changed Lévy models

Ivanov, R. V. & Ano, K., 2016 Feb 11, (Accepted/In press) In : Review of Derivatives Research. p. 1-16 16 p.

Research output: Contribution to journalArticle

Pricing
Hypergeometric functions
Finance
Option pricing
Foreign exchange
15 Citations (Scopus)

Stability Analysis for LTI Control Systems with Controller Failures and Its Application in Failure Tolerant Control

Xiang, W., Zhai, G. & Briat, C., 2016 Mar 1, In : IEEE Transactions on Automatic Control. 61, 3, p. 811-816 6 p., 7131479.

Research output: Contribution to journalArticle

Control systems
Controllers
Networked control systems
Lyapunov functions
7 Citations (Scopus)

The monoidal center and the character algebra

Shimizu, K., 2016 Jan 19, (Accepted/In press) In : Journal of Pure and Applied Algebra.

Research output: Contribution to journalArticle

2015
1 Citation (Scopus)
Parallel algorithms

An asymptotic analysis for an integrable variant of the Lotka–Volterra prey–predator model via a determinant expansion technique

Shinjo, M., Iwasaki, M., Fukuda, A., Ishiwata, E., Yamamoto, Y. & Nakamura, Y., 2015 Jun 3, In : Cogent Mathematics. 2, 1046538.

Research output: Contribution to journalArticle

Open Access
10 Citations (Scopus)

A note on basic consensus problems in multi-agent systems with switching interconnection graphs

Zhai, G. & Huang, C., 2015 Mar 4, In : International Journal of Control. 88, 3, p. 631-639 9 p.

Research output: Contribution to journalArticle

Multi agent systems

Conserved quantities of the integrable discrete hungry systems

Kakizaki, S., Fukuda, A., Yamamoto, Y., Iwasaki, M., Ishiwata, E. & Nakamura, Y., 2015 Oct 1, In : Discrete and Continuous Dynamical Systems - Series S. 8, 5, p. 889-899 11 p.

Research output: Contribution to journalArticle

Polynomials
11 Citations (Scopus)

Dissipativity and dwell time specifications of switched discrete-time systems and its applications in <sup>H</sup> and robust passive control

Xiang, W., Xiao, J. & Zhai, G., 2015 Nov 1, In : Information Sciences. 320, p. 206-222 17 p.

Research output: Contribution to journalArticle

Specifications
Controllers
Discrete-time
Controller

Improvement of error-free splitting for accurate matrix multiplication

Ozaki, K., Ogita, T. & Oishi, S., 2015 Nov 1, In : Journal of Computational and Applied Mathematics. 288, p. 127-140 14 p., 10123.

Research output: Contribution to journalArticle

Motion of spiral-shaped polygonal curves by nonlinear crystalline motion with a rotating tip motion

Ishiwata, T., 2015, In : Mathematica Bohemica. 140, 2, p. 111-119 9 p., A111.

Research output: Contribution to journalArticle

Crystalline materials
Screw dislocations
Trajectories
Crystals
4 Citations (Scopus)

On the integral Tate conjecture over finite fields

Kameko, M., 2015 May 16, In : Mathematical Proceedings of the Cambridge Philosophical Society. 158, 3, p. 531-546 16 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)

Parametric stabilization of quantized interconnected systems with application to coupled inverted pendulums

Chen, N., Zhai, G., Guo, Y., Gui, W. & Shen, X., 2015 May 1, In : Asian Journal of Control. 17, 3, p. 1061-1069 9 p.

Research output: Contribution to journalArticle

Pendulums
Large scale systems
Stabilization
Controllers
State feedback