WORKSHOP ON MATHEMATICAL

CONTROL THEORY IN KOBE

Dedicated to Professor Shin-ichi Nakagiri

and Professor Takao Nambu

on the occasions of their 60th birthdays

Date: January 8 –10, 2010Site: Takikawa Memorial Hall at Kobe University, Japan

Preface

This booklet is dedicated to Professor Shin-ichi Nakagiri and ProfessorTakao Nambu, Kobe University, on the occasions of their 60th birthdays. Aseveryone knows, the both professors have been making challenging contribu-tions in intersection areas of applied mathematics and control theory.

To celebrate these professors’ 60th birthdays a conference, titled as

“Workshop on Mathematical Control Theory in Kobe”

was held on January 8–10, 2010 at Takikawa Memorial Hall, Kobe Univer-sity with more than 30 participants, including scholars from foreign countries.Papers presented in this conference are included in this booklet.

Professor Nakagiri and Professor Nambu have kept active and strong vi-talities in their spirits. We look forward to their long and healthy life and toperpetual contributions. On behalf of the contributors, we heartily dedicatethis booklet to our great colleagues Professor Shin-ichi Nakagiri and ProfessorTakao Nambu.

Yuki Naito (Ehime Univ., Japan)Ken Shirakawa (Kobe Univ., Japan)

Professor Shin-ichi Nakagiri (left) and Professor Takao Nambu (right)in banquet of the conference

Workshop on Mathematical Control Theory in Kobe

Takikawa Memorial Hall, Kobe University, Kobe, Japan

8–10 January 2010

8 January (Friday)

13:30∼14:15 Fumitoshi Matsuno (Kyoto University, Japan)

Control of Bio-inspired Snake Robots -Constrained and Redundant System-

14:20∼15:05 Kenji Maruo (Kobe University, Japan)

Solutions to Semilinear Degenerate Elliptic Equations with Radially Sym-

metric Coefficients in the Plane

15:10∼15:55 Hideki Sano (Kobe University, Japan)

Stabilization of a coupled transport-diffusion system: a case with boundary

control and boundary observation

16:10∼16:55 Hiroyuki Ukai (Nagoya Institute of Technology, Japan)

Mathematical models and control issues in power system

17:00∼17:45 Takao Nambu (Kobe University, Japan)

The minimum number of the sensors for stabilization in linear parabolic

boundary control systems

9 January (Saturday)

9:15∼9:50 Young-Chel Kwun (Dong-A University, Korea)

Jin Han Park (Pukyong National University, Korea)

Controllability for the fuzzy integrodifferential equations in n-dimensional

fuzzy vector space

9:55∼10:30 Junhong Ha (Korean University of Technology, Korea)

Inverse problem for a heat equation in the bar with piecewise constant ther-

mal conductivity

10:45∼11:30 Kimiaki Narukawa (Naruto University of Education, Japan)

Positive solutions of quasilinear elliptic equations involving indefinite lower

term

11:35∼12:20 Masahiro Yamamoto (University of Tokyo, Japan)

Carleman estimates for parabolic equations and Applications

14:00∼14:45 Hiroki Tanabe (Emeritus Professor of Osaka University, Japan)

Construction of fundamental solution of degenerate parabolic differetial equa-

tions

14:50∼15:35 Atsushi Yagi (Osaka University, Japan)

Exponential attractors for non autonomous dynamical systems

15:50∼16:35 Fumio Kojima (Kobe University, Japan)

Structural Health Monitoring of Nuclear Power Plants using Inverse Analysis

in Measurements

16:40∼17:25 Shin-ichi Nakagiri (Kobe University, Japan)

Boundary Feedback Stabilization of Parallel-Flow Heat Exchanger Process

Using a Forwardstepping Method

19:00 ～ 　　 Banquet

10 January (Sunday)

9:15∼9:50 Jito Vanualailai, Bibhya Sharma (University of South Pacific, Fiji)

A Lagrangian Swarm Model

9:55∼10:30 Bibhya Sharma, Jito Vanualailai (University of South Pacific, Fiji)

Formation Navigation: Tunnel Passing maneuvers

10:45∼11:20 Ken Shirakawa (Kobe University, Japan)

Continuous dependence among isotropic-anisotropic total variation flows as-

sociated with phase transitions

11:25∼12:00 Yuki Naito (Ehime University, Japan)

Non-homogeneous semilinear elliptic equations involving critical Sobolev ex-

ponent

Organizing Comitee: Ken Shirakawa (Kobe University) Yuki Naito (Ehime University)

Contact: Ken Shirakawa Graduate school of Engeneering, Kobe University

　　　　Nada Kobe 657-8501 Japan E-mail: control@boar.kobe-u.ac.jp

Workshop on Mathematical Control Theory in Kobe

Dedicated to Professor Shin-ichi Nakagiri and Professor Takao Nambuon the occasions of their 60th birthdays

Date: January 8 –10, 2010Site: Takikawa Memorial Hall at Kobe University, JapanOrganization: Yuki Naito (Ehime Univ., Japan)

Ken Shirakawa (Kobe Univ., Japan)

Contents

1. Solutions to semilinear degenerate elliptic equations with radiallysymmetric coefficients in the plane . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .1Kenji Maruo

2. Stabilization of a coupled transport-diffusion system: a case withboundary control and boundary observation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14Hideki Sano

3. Robust control design of PSS in wide area power systemconsidering information reliability . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25Hiroyuki Ukai, Goh Toyosaki, Yoshiki Nakachi and Surech Chand Verma

4. The minimum number of the sensors for stabilization in linearparabolic boundary control systems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .31Takao Nambu

5. Nonlocal controllability for the semilinear fuzzy integrodifferentialequations in n-dimensional fuzzy vector space . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 39Young-Chel Kwun and Jin Han Park

6. Inverse problem for a heat equation in the bar with piecewiseconstant thermal conductivity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .54Junhong Ha

7. Positive solutions of quasilinear elliptic equations involvingindefinite lower term . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 66Kimiaki Narukawa

8. Construction of fundamental solution of degenerate parabolicdifferential equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 76Hiroki Tanabe

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9. Exponential attractors for non-autonomous dynamical systems . . . . . . . . . . . . . . . . .83Atsushi Yagi

10. Structural health monitoring of nuclear power plants using inverseanalysis in measurements . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 92Fumio Kojima

11. Boundary feedback stabilization of parallel-flow heat exchangerprocess using a forwardstepping method . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 99Shin-ichi Nakagiri

12. A Lagrangian-based swarming behavior in the absence of obstacles . . . . . . . . . . . . 119Jito Vanualailai and Bibhya Sharma

13. Tunnel passing maneuvers of a team of car-like robots in formation . . . . . . . . . . .136Bibhya Sharma, Jito Vanualailai, Shin-ichi Nakagiri and Shonal Singh

14. Continuous dependence among isotropic-anisotropic total variationflows associated with phase transitions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 155Ken Shirakawa

15. Non-homogeneous semilinear elliptic equations involving criticalSobolev exponent . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .162Yuki Naito and Tokushi Sato

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