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RICCATI EQUATION IN QUADRATIC OPTIMAL CONTROL PROBLEM OF DAMPED SECOND ORDER SYSTEM
Ha, Junhong,Nakagiri, Shin-Ichi Korean Mathematical Society 2013 대한수학회지 Vol.50 No.1
This paper studies the properties of solutions of the Riccati equation arising from the quadratic optimal control problem of the general damped second order system. Using the semigroup theory, we establish the weak differential characterization of the Riccati equation for a general class of the second order distributed systems with arbitrary damping terms.
IDENTIFICATION OF CONSTANT PARAMETERS IN PERTURBED SINE-GORDON EQUATIONS
Ha, Jun-Hong,Nakagiri, Shin-Ichi Korean Mathematical Society 2006 대한수학회지 Vol.43 No.5
We study the identification problems of constant parameters appearing in the perturbed sine-Gordon equation with the Neumann boundary condition. The existence of optimal parameters is proved, and necessary conditions are established for several types of observations by utilizing quadratic optimal control theory due to Lions [13].
SOLUTIONS OF QUASILINEAR WAVE EQUATION WITH STRONG AND NONLINEAR VISCOSITY
황진수,Shin-ichi Nakagiri,Hiroki Tanabe 대한수학회 2011 대한수학회지 Vol.48 No.4
We study a class of quasilinear wave equations with strong and nonlinear viscosity. By using the perturbation method for semilinear parabolic equations, we have established the fundamental results on existence, uniqueness and continuous dependence on data of weak solutions.
Riccati equation in quadratic optimal control problem of damped second order system
하준홍,Shin-ichi Nakagiri 대한수학회 2013 대한수학회지 Vol.50 No.1
This paper studies the properties of solutions of the Riccati equation arising from the quadratic optimal control problem of the general damped second order system. Using the semigroup theory, we establish the weak differential characterization of the Riccati equation for a general class of the second order distributed systems with arbitrary damping terms.
SOLUTIONS OF QUASILINEAR WAVE EQUATION WITH STRONG AND NONLINEAR VISCOSITY
Hwang, Jin-Soo,Nakagiri, Shin-Ichi,Tanabe, Hiroki Korean Mathematical Society 2011 대한수학회지 Vol.48 No.4
We study a class of quasilinear wave equations with strong and nonlinear viscosity. By using the perturbation method for semilinear parabolic equations, we have established the fundamental results on existence, uniqueness and continuous dependence on data of weak solutions.
김창선,유승헌,Akira Nakagiri,Takashi Shirouzu,Kozue Sotome,김선철,Nitaro Maekawa 한국식물병리학회 2012 Plant Pathology Journal Vol.28 No.4
Shiitake (Lentinula edodes) is the most economically important cultivated mushroom, but yields are impacted by its competitor, Trichoderma spp. We previously found two unidentified Trichoderma species growing in bedlogs and sawdust shiitake media in Korea. Here, we identify and re-describe those two species based on molecular sequence data, morphology, and culture characteristics. Well-supported clades based on phylogenetic analyses of internal transcribed spacer, translation elongation factor 1-α, and RNA polymerase subunit II sequences grouped one of the unidentified Trichoderma spp. with Hypocrea pseudogelatinosa and the other with Hypocrea pseudostraminea, and their morphologies matched well with the original descriptions of the two Hypocrea species. This study reports the first phylogenetic analyses of H. pseudogelatinosa and Japanese strains of H. pseudostraminea. Based on the phylogenetic results, we redescribed these two species using modern taxonomic concepts in Hypocrea/Trichoderma.