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Control of Distributed Parameter and Stochastic Systems

Proceedings of the IFIP WG 7.2 International Conference, June 19–22, 1998 Hangzhou, China

  • Conference proceedings
  • © 1999

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Editors:
  1. Shuping Chen

    1. Department of Applied Mathematics, Zhejiang University, Hangzhou, China

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  2. Xunjing Li

    1. Department of Mathematics, Fudan University, Shanghai, China

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  3. Jiongmin Yong

    1. Department of Mathematics, Fudan University, Shanghai, China

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  4. Xun Yu Zhou

    1. Department of Systems Engineering and Engineering Management, The Chinese University of Hong Kong, Shatin, N.T., Hong Kong, China

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Part of the book series: IFIP Advances in Information and Communication Technology (IFIPAICT, volume 13)

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Table of contents (40 papers)

  1. Front Matter

    Pages i-xiii
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  2. Distributed Parameter Systems

    1. Front Matter

      Pages 1-1
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    2. Exact-Approximate Boundary Controllability of Thermoelastic Systems under Free Boundary Conditions

      • George Avalos, Irena Lasiecka
      Pages 3-11

    3. A Linear Parabolic Boundary Control Problem with Mixed Control-State Constraint

      • Maïtine Bergounioux, Fredi Tröltzsch
      Pages 13-20

    4. Membrane Shell Equation: Characterization of the Space of Solutions

      • Michel C. Delfour
      Pages 21-29

    5. Renorming for Elastic Systems with Structural Damping

      • Richard H. Fabiano
      Pages 31-38

    6. Stability and Approximations of an Acoustic-Structure Model

      • Fariba Fahroo, Chunming Wang
      Pages 39-46

    7. Analyticity of Semigroup Associated with a Laminated Composite Beam

      • Scott Hansen, Zhuangyi Liu
      Pages 47-54

    8. A Practical Estimation Technique for Spatial Distribution of Groundwater Contaminant

      • Sungkwon Kang, Thomas B. Stauffer, Kirk Hatfield
      Pages 55-62

    9. Domain Decomposition in Optimal Control of Elliptic Systems on 2-D Networks

      • John E. Lagnese
      Pages 63-70

    10. An Observability Estimate in L 2(Ω) × H −1(Ω) for Second-Order Hyperbolic Equations with Variable Coefficients

      • Irena Lasiecka, Roberto Triggiani, Peng-Fei Yao
      Pages 71-78

    11. Identification Problem for a Wave Equation via Optimal Control

      • Suzanne Lenhart, Min Liang, Vladimir Protopopescu
      Pages 79-84

    12. Optimal Control Theory: From Finite Dimensions to Infinite Dimensions

      • Xunjing Li
      Pages 85-93

    13. Boundary Stabilization of a Hybrid System

      • Kangsheng Liu, Zhuangyi Liu
      Pages 95-101

    14. New Meaning of Exact Controllability of Linear Systems in Hilbert Spaces

      • Kangsheng Liu, David L. Russell
      Pages 103-110

    15. Minimax Design of Constrained Parabolic Systems

      • Boris S. Mordukhovich
      Pages 111-118

    16. Stabilization of Linear Boundary Control Systems of Parabolic Type: An Algebraic Approach

      • Takao Nambu
      Pages 119-126

    17. A Distributed Bioremediation Problem with Modal Switching

      • Thomas I. Seidman
      Pages 127-131

    18. Optimal Control Problems Governed by an Elliptic Differential Equation with Critical Exponent

      • Gengsheng Wang
      Pages 133-142

    19. Reconstruction of Source Terms in Evolution Equations by Exact Controllability

      • Masahiro Yamamoto
      Pages 143-152
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Keywords

About this book

In the mathematical treatment of many problems which arise in physics, economics, engineering, management, etc., the researcher frequently faces two major difficulties: infinite dimensionality and randomness of the evolution process. Infinite dimensionality occurs when the evolution in time of a process is accompanied by a space-like dependence; for example, spatial distribution of the temperature for a heat-conductor, spatial dependence of the time-varying displacement of a membrane subject to external forces, etc. Randomness is intrinsic to the mathematical formulation of many phenomena, such as fluctuation in the stock market, or noise in communication networks. Control theory of distributed parameter systems and stochastic systems focuses on physical phenomena which are governed by partial differential equations, delay-differential equations, integral differential equations, etc., and stochastic differential equations of various types. This has been a fertile field of research with over 40 years of history, which continues to be very active under the thrust of new emerging applications.
Among the subjects covered are:
  • Control of distributed parameter systems;
  • Stochastic control;
  • Applications in finance/insurance/manufacturing;
  • Adapted control;
  • Numerical approximation
.
It is essential reading for applied mathematicians, control theorists, economic/financial analysts and engineers.

Editors and Affiliations

  • Department of Applied Mathematics, Zhejiang University, Hangzhou, China

    Shuping Chen

  • Department of Mathematics, Fudan University, Shanghai, China

    Xunjing Li, Jiongmin Yong

  • Department of Systems Engineering and Engineering Management, The Chinese University of Hong Kong, Shatin, N.T., Hong Kong, China

    Xun Yu Zhou

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