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Control Theory And Related Topics: In Memory Of Professor Xunjing Li [Hardback]

Edited by (Fudan Univ, China), Edited by (Univ Of Central Florida, Usa)
  • Formāts: Hardback, 420 pages
  • Izdošanas datums: 01-Oct-2007
  • Izdevniecība: World Scientific Publishing Co Pte Ltd
  • ISBN-10: 9812705821
  • ISBN-13: 9789812705822
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  • Formāts: Hardback, 420 pages
  • Izdošanas datums: 01-Oct-2007
  • Izdevniecība: World Scientific Publishing Co Pte Ltd
  • ISBN-10: 9812705821
  • ISBN-13: 9789812705822
Citas grāmatas par šo tēmu:
Xunjing Li (1935-2003) was a pioneer in control theory in China. He was known in the Chinese community of applied mathematics, and in the global community of optimal control theory of distributed parameter systems. He has made important contributions to the optimal control theory of distributed parameter systems, in particular regarding the first-order necessary conditions (Pontryagin-type maximum principle) for optimal control of nonlinear infinite-dimensional systems. He directed the Seminar of Control Theory at Fudan towards stochastic control theory in 1980s, and mathematical finance in 1990s, which has led to several important subsequent developments in both closely interactive fields. These remarkable efforts in scientific research and education, among others, gave birth to the so-called Fudan School.This proceedings volume includes a collection of original research papers or reviews authored or co-authored by Xunjing Li's former students, postdoctoral fellows, and mentored scholars in the areas of control theory, dynamic systems, mathematical finance, and stochastic analysis, among others.
Preface vii
Conference Photo xiii
List of Participants
xv
List of Contributors
xix
Part One: Xunjing Li's Academic Life
A Tribute in Memory of Professor Xunjing Li on His Seventieth Birthday
3(6)
Jin Ma
Yuncheng You
Publications of Xunjing Li
9(8)
Students and Post-doctors Advised
17(6)
Xunjing Li
Part Two: Stochastic Control, Mathematical Finance, and Backward Stochastic Differential Equations
Axiomatic Characteristics for Solutions of Reflected Backward Stochastic Differential Equations
23(21)
Xiaobo Bao
Shanjian Tang
A Linear Quadratic Optimal Control Problem for Stochastic Volterra Integral Equations
44(23)
Shuping Chen
Jiongmin Yong
An Additivity of Maximum Expectations and Its Applications
67(13)
Zengjing Chen
Matt Davison
Mark Reesor
Ying Zhang
Stochastic Control and BSDEs with Quadratic Growth
80(7)
Marco Fuhrman
Ying Hu
Gianmario Tessitore
A Fundamental Theorem of Asset Pricing in Continuous Time with Square Integrable Portfolios
87(20)
Hanging Jin
Xun Yu Zhou
Indifference Pricing of Universal Variable Life Insurance
107(15)
Jin Ma
Yuhua Yu
gr-Expectations and the Related Nonlinear Doob-Meyer Decomposition Theorem
122(19)
Shige Peng
Mingyu Xu
Nonconvexity Phenomenon on Ito's Integrals and on Stochastic Attainable Sets
141(6)
Shanjian Tang
Unique Continuation and Observability for Stochastic Parabolic Equations and Beyond
147(16)
Xu Zhang
Part Three: Deterministic Control Systems
Design of Dynamic High-Gain Observers for a Class of MIMO Nonlinear Systems
163(20)
Hao Lei
Jianfeng Wei
Wei Lin
Some Counterexamples in Existence Theory of Optimal Control
183(8)
Hongwei Lou
A Generalized Framework for Global Output Feedback Stabilization of Inherently Nonlinear Systems with Uncertainties
191(24)
Jason Polendo
Chunjiang Qian
A Linear Quadratic Constrained Optimal Feedback Control Problem
215(5)
Yashan Xu
On Finite-Time Stabilization of a Class of Nonsmoothly Stabilizable Systems
220(21)
Bo Yang
Wei Lin
The Algebraic Criterion for Delay-Independent Stability of Linear Systems
241(9)
Xin Yu
Chao Xu
Kangsheng Liu
Transformation Method of Solving a Time-Optimal Control Problem with Pointwise State Constraints
250(13)
Shangwei Zhu
Xunjing Li
Part Four: Dynamics and Optimal Control of Partial Differential Equations
Optimal Control of Quasilinear Elliptic Obstacle Problems
263(16)
Qihong Chen
Yuquan Ye
Controllability of a Nonlinear Degenerate Parabolic System with Bilinear Control
279(12)
Ping Lin
Hang Gao
Xu Liu
Near-Optimal Controls to Infinite Dimensional Linear-Quadratic Optimal Control Problem
291(32)
Liping Pan
Qihong Chen
Shape Optimization of Stationary Navier-Stokes Equation
323(15)
Gengsheng Wang
Lijuan Wang
Donghui Yang
Solution Map of Strongly Nonlinear Impulsive Evolution Inclusions
338(16)
Xiaoling Xiang
Yunfei Peng
Wei Wei
Study on Repairable Series System with Two Components --- A Semigroup Approach
354(13)
Hong Xu
Dinghua Shi
Finite Dimensional Reduction of Global Dynamics and Lattice Dynamics of a Damped Nonlinear Wave Equation
367(20)
Yuncheng You
Recent Progress on Nonlinear Wave Equations via KAM Theory
387
Xiaoping Yuan