■Faculty | Department of Electronic Engineering and Computer Science / Graduate School of System Enginnering |

■Position | Professor |

■Degree | |

■Commentator Guide | https://www.kindai.ac.jp/meikan/396-nakajima-hiroyuki.html |

■URL | |

Last Updated :2020/09/01

- - 1986 , Kyoto University
- - 1986 , Kyoto University, Graduate School, Division of Engineering
- - 1984 , Kyoto University, Faculty of Engineering
- - 1984 , Kyoto University, Faculty of Engineering

- 2005 04 , - 現在, Faculty of Engineering, Kindai University
- 1999 04 , - 2005 03 , Faculty of Engineering, Kindai University
- 1996 , - 1999 , Kindai University
- 1996 , - 1999 , Kinki University, Assistant Professor
- 1990 , - 1996 , Kyoto University, Research Assistant
- 1986 , - 1990 , Hitachi Limited, Systems Development Laboratory, Researcher

- Manufacturing technology (mechanical, electrical/electronic, chemical engineering), Control and systems engineering
- Manufacturing technology (mechanical, electrical/electronic, chemical engineering), Control and systems engineering

- neural network., Chaos dynamics

- Persistence in Chemical Reaction Networks with Arbirary Time Delays, Hirokazu Komatsu, Hiroyuki Nakajima, SIAM Journal on Applied Mahematics, SIAM Journal on Applied Mahematics, 79(1), 305 - 320, Feb. 2019 , Refereed
- Stability Analysis for Non-weakly Reversible Single Linkage Class Chemical Reaction Networks, Hirokazu Komatsu, Hiroyuki Nakajima, Proc. The 57th IEEE Conference on Decision and Control, Proc. The 57th IEEE Conference on Decision and Control, 4815 - 4820, Dec. 2018 , Refereed
- Asymptotic Stability of a Non-weakly Reversible Biochemical Reaction Network Composed of Cardiac Hypertrophy Factors, Hirokazu Komatsu Hiroyuki, Nakajima Akio Ito, Jounal of Mathematical Chemistry, Jounal of Mathematical Chemistry, Oct. 2018 , Refereed
- Stability Analysis for Non-weakly Reversible Single Linkage Class Chemical Reaction Networks, Hirokazu Komatsu, Hiroyuki Nakajima, SICE Annual Conference 2018, SICE Annual Conference 2018, 1592 - 1597, Sep. 2018 , Refereed
- Stability Analysis for a Class of Non-Weakly Reversible Chemical Reaction Networks, Hirokazu KOMATSU, Hiroyuki NAKAJIMA, SICE Journal of Control, Measurement, and System Integration, SICE Journal of Control, Measurement, and System Integration, 11(3), 138 - 145, May 2018 , Refereed
- Analyses for Synchronization in Phase Oscillators Coupled through Restoring-Force Terms, J94-A(10), 755 - 763, Oct. 2011 , Refereed
- The Deficiency Zero Theorem and global asymptotic stability for a class of chemical reaction networks with arbitrary time delays, Hirokazu Komatsu, Hiroyuki Nakajima, Systems & Control Letters, Systems & Control Letters, 136, 104601, Feb. 2020 , Refereed
- Stability Analysis of Chemical Reaction Networks by Decomposing Them into Weakly Reversible Sub-networks, Hirokazu Komatsu, Masaki Ugawa, Hiroyuki Nakajima, 2017 56TH ANNUAL CONFERENCE OF THE SOCIETY OF INSTRUMENT AND CONTROL ENGINEERS OF JAPAN (SICE), 2017 56TH ANNUAL CONFERENCE OF THE SOCIETY OF INSTRUMENT AND CONTROL ENGINEERS OF JAPAN (SICE), 1571 - 1576, 2017 , RefereedSummary:The chemical reaction network theory, which has been established by M. Feinberg and his collegues, gives an important theorem called the Deficiency Zero Theorem (DZT). This theorem provides methods for analyzing the stability of ODEs that describe the time-evolutions of molar concentrations of species in chemical reaction networks. In the present paper, we consider a class of non-weakly reversible chemical reaction networks, for which a positive solution to ODEs cannot be proved to converge to an equilibrium point based on the DZT since one of the conditions, weak reversibility, is not satisfied. In order to make up for the failure of this important condition, by decomposing the network into weakly reversible sub-networks and applying DZT to them, we show any solution with positive initial values converges to an equilibrium point on the boundary of the positive orthant.
- On the Stability of a Linear Retarded Differential-Difference Equation, Hiroyuki Nakajima, FUNKCIALAJ EKVACIOJ-SERIO INTERNACIA, FUNKCIALAJ EKVACIOJ-SERIO INTERNACIA, 57(1), 43 - 56, Apr. 2014 , RefereedSummary:In the present paper, we give a necessary and sufficient condition for the zero solution of a linear retarded system dx(t)/dt = Ax(t) + Bx(t - tau) to be asymptotically stable. Here A is a real-valued n x n matrix and B = bI, where b is a scalar parameter and I is the n x n unit matrix. The stability analysis is reduced to deriving a necessary and sufficient condition for all the roots of a characteristic equation z - alpha - beta e(-z) = 0 to have negative real parts. Here a is a complex number defined by alpha = tau lambda with an eigenvalue lambda of A, and beta = tau b. Our stability criterion is a natural extension of that for the widely-known case where alpha is a real number.
- A packet routing method for complex networks by a stochastic neural network, Takayuki Kimura, Hiroyuki Nakajima, Tohru Ikeguchi, PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 376, 658 - 672, Mar. 2007 , RefereedSummary:We propose a new algorithm for controling packet routing by a neural network. First, we show that the conventional method for a packet routing control using a neural network is not so effective when it is applied to a network with irregular topology. To overcome this problem, we propose a modified method with stochastic effects. In the present paper, we evaluated our proposed method for irregular, randomized and scale-free networks. Further, we compared our method with the conventional method and another modified method. We show that our proposed method exhibits better performance than the conventional routing method. Introducing some additional measures, we also analyze why the proposed method shows better performance. As a result, we confirmed that our proposed method skillfully decentralizes the packets in the computer network, and which improves the performance of the proposed method. (c) 2006 Elsevier B.V. All rights reserved.
- Some sufficient conditions for stabilizing periodic orbits without the odd-number property by delayed feedback control in continuous-time systems, H Nakajima, PHYSICS LETTERS A, PHYSICS LETTERS A, 327(1), 44 - 54, Jun. 2004 , RefereedSummary:One of the important topics in the study of delayed feedback control (DFC) for chaotic systems is stability analysis. In the present Letter, we give some sufficient conditions for stabilizing periodic orbits by the DFC without the odd-number property in continuous-time systems. Our results naturally connect the stability condition for inversely unstable orbits and the odd-number limitation. (C) 2004 Elsevier B.V. All rights reserved.
- A rigorous proof for impossibility of a direct application of unstable delayed feedback control for continuous-time systems, H Nakajima, PHYSICS LETTERS A, PHYSICS LETTERS A, 310(4), 265 - 268, Apr. 2003 , RefereedSummary:Unstable DFC (UDFC), which utilizes an unstable parameter of the EDFC, can overcome the odd-number limitation for discrete-time systems. However, it has been shown that a direct application of the UDFC for stabilizing unstable equilibrium points of continuous-time systems fails. In this Letter, we rigorously prove this impossibility of the direct application of UDFC for continuous-time systems. (C) 2003 Elsevier Science B.V. All rights reserved.

- A note on asynchronous solutions of phase oscillators coupled through restoring-force terms, 2012 11
- Dynamics of Phase Oscillators Coupled through Restoring-Force Terms, 2011 10
- A Packet Routing Method for a Random Network by a Stochastic Neural Network, 2005 10
- Stabilization of periodic orbits by delayed feedback control with a periodicallyvarying gain, 2003 11
- Delayed feedback control with a periodic gain for continuous-time systems, 2003 11
- Difference feedback control of chaos, 2002 12
- On delayed feedback control with a state predictor, 2002 11
- Riddled Basins and Lyapunov Exponents, 2001 10
- Delayed feedback control with state predictor for continuous time chaotic systems, 2001 06

- Knowledge base. The Institute of Electronics, Information and Communication Engineers, 2010 09
- Delayed feedback control with state predictor for continuous-time chaotic systems, International Journal of Bifurcation and Chaos, 12, 5/1067-1077, 2002 , 10.1142/S0218127402004917
- Convergence of learning in neural networks and nonlinear dynamics, Systems, control and information, 43, 10, 505, 1999 , 10.11509/isciesci.43.10_519
- Control of chaotic systems with symmetries using half-period delayed feedback(共著), Proc. of NOLTA98, 2, 393, 396, 1998
- Half-period delayed feedback control for dynamical systems with symmetries (共著), Physical Review E, 58, 2, Pt.A, 1757, 1763, 1998 , 10.1103/PhysRevE.58.1757
- Limitation of generalized delayed feedback control(共著), Physica D, 111, 1/4, 143, 150, 1998 , 10.1016/S0167-2789(97)80009-7
- On analytical properties of delayed feedback control of chaos, H Nakajima, PHYSICS LETTERS A, 232, 3-4, 207, 210, 1997 07 , 10.1016/S0375-9601(97)00362-9Summary:Two theorems on limitations in controlling chaos by delayed feedback control are proved. The results are as follows: (1) If the linear variational equation about the target hyperbolic unstable periodic orbit (UFO) has an odd number of real characteristic multipliers which is greater than unity, the UFO can never be stabilized with any value of the feedback gain. (2) If all the characteristic exponents of the variational equation are different from each other and at least one of them is real and positive, then the UFO can never be stabilized with any feedback gain matrix of the form diag(k,..., k). Both theorems are proved on the basis of Floquet theory. The result of the first theorem is also explained intuitively using bifurcation theory. (C) 1997 Elsevier Science B.V.
- Automatic adjustment of delay time and feedback gain in delayed feedback control of chaos (共著), IEICE Transactions on Fundamentals, E-80A, 9, 1554, 1997
- Automatic adjustment of delay time in Controlling chaos by Pyragas's delayed feedback control method (共著), Proc.of NOLTA 96, 65, 1996
- A Simple model of the riddled basin in chaotic Synchronization, The transactions on IEICE A, J80A, 1, 112, 1996
- Riddled basins of the optimal states in learning dyramical systems (共著), Physica D, 99, 35, 1996 , 10.1016/S0167-2789(96)00131-5
- Riddled basins in learning dynamical systems (共著), Proc. of NOLTA 95, 1, 235, 1995
- An analysis of the Process of learning continuous dynamical systems in neural networks using the theory of non-autonomous difference equatior, The transactions on IEICE D-(]G0002[), J78, 12, 1890, 1995
- Process of learning discrete dynaimical systems by recurrent neural networks, The transactions on IEICE A, J77, 1, 24, 1994
- An analysis of the process of learning discrete dynamical systems by back propagation method using the theory of non-autonomous difference equations, The transactions on IEICE D-(]G0002[), J77, 11, 2279, 1994
- Process of learning chaotic attractors in recurrent neural networks (共著), Proc.of NOLTA 93, 2, 601, 1993
- A measure theoretical analysis of learning algorithms for recurrent neural networks (共著), Proc.of IJCNN, NAGOYA, 3, 2575, 1993
- Bifurcation Phenomena in a two-degrees-of-freedom Duffing's eguation (共著), The transations on IEICE E, 74, 6, 1414, 1991
- A model of riddled basins in chaotic synchronization and its fat fractal structure (共著), Proc. of NOLTA97, 1, 597

- Study on learning, synchronization and control of chaos