张旭

2026

A Palais-Smale type condition for optimal control problems

2026

Numerical Analysis on Backward Stochastic Differential Equations by Finite Transposition Method

arXiv.org

DOI

2025

Null control of heat equations with analytic memory kernels

2023

Inverse problems for stochastic partial differential equations: Some progresses and open problems

Numerical Algebra, Control and Optimization

DOI

2022

A Survey of Optimal Control Problems Evolved on Riemannian Manifolds

CSIAM Transactions on Applied Mathematics

DOI

2022

The fundamental gap of a kind of two dimensional sub-elliptic operator

Journal of Mathematical Analysis and Applications

DOI

2022

Preface special issue on recent advances in mathematical control theory

Mathematical Control and Related Fields

DOI

2021

Stochastic Evolution Equations

Mathematical Control Theory for Stochastic Partial Differential Equations

DOI

2021

A concise introduction to control theory for stochastic partial differential equations

DOI

2021

Exact Controllability for Stochastic Schrödinger Equations

Mathematical Control Theory for Stochastic Partial Differential Equations

DOI

2021

Mathematical Control Theory for Stochastic Partial Differential Equations

Probability Theory and Stochastic Modelling

DOI

2021

Backward Stochastic Evolution Equations

Mathematical Control Theory for Stochastic Partial Differential Equations

DOI

2021

Pontryagin-Type Stochastic Maximum Principle and Beyond

Mathematical Control Theory for Stochastic Partial Differential Equations

DOI

2021

Introduction

Mathematical Control Theory for Stochastic Partial Differential Equations

DOI

2021

Numerics for Stochastic Distributed Parameter Control Systems: a Finite Transposition Method

Numerical Control: Part A

DOI

2021

Verifiable constraint qualifications for infinite-dimensional optimization problems and their applications to optimal control problems

2021

Controllability and Observability of Stochastic Parabolic Systems

Mathematical Control Theory for Stochastic Partial Differential Equations

DOI

2021

Some Preliminaries in Stochastic Calculus

Mathematical Control Theory for Stochastic Partial Differential Equations

DOI

2021

Control Problems for Stochastic Distributed Parameter Systems

Mathematical Control Theory for Stochastic Partial Differential Equations

DOI

2021

Controllability for Stochastic Differential Equations in Finite Dimensions

Mathematical Control Theory for Stochastic Partial Differential Equations

DOI

2021

Control theory for stochastic distributed parameter systems, an engineering perspective

Annual Reviews in Control

DOI

2021

Second Order Necessary Conditions for Optimal Control Problems of Stochastic Evolution Equations

SIAM Journal of Control and Optimization

DOI

2021

Linear Quadratic Optimal Control Problems

Mathematical Control Theory for Stochastic Partial Differential Equations

DOI

2021

Controllability for Stochastic Linear Evolution Equations

Mathematical Control Theory for Stochastic Partial Differential Equations

DOI

2020

$L^2$ estimates and existence theorems for the $\bar{\partial}$ operators in infinite dimensions, I

2020

Second order necessary conditions for endpoints-constrained optimal control problems on Riemannian manifolds

DOI

2019

Introduction

Carleman Estimates for Second Order Partial Differential Operators and Applications

DOI

2019

Carleman Estimates for Second Order Partial Differential Operators and Applications

SpringerBriefs in Mathematics

DOI

2019

Carleman Estimates for Second Order Elliptic Operators and Applications, a Unified Approach

Carleman Estimates for Second Order Partial Differential Operators and Applications

DOI

2019

Optimal Feedback for Stochastic Linear Quadratic Control and Backward Stochastic Riccati Equations in Infinite Dimensions

Memoirs of the American Mathematical Society

DOI

2019

Carleman Estimates for Second Order Hyperbolic Operators and Applications, a Unified Approach

Carleman Estimates for Second Order Partial Differential Operators and Applications

DOI

2019

Infinite dimensional Cauchy-Kowalevski and Holmgren type theorems

Science China Mathematics

DOI

2019

Exact Controllability for a Refined Stochastic Wave Equation

Mathematical Control Theory for Stochastic Partial Differential Equations

DOI

2019

Necessary optimality conditions for local minimizers of stochastic optimal control problems with state constraints

Transactions of the American Mathematical Society

DOI

2019

随机最优控制的二阶必要条件综述

《系统科学与数学》

2018

Necessary conditions for stochastic optimal control problems in infinite dimensions

Stochastic Processes and their Applications

DOI

2018

Preface: A tribute to professor Jiongmin Yong on his 60th birthday

DOI

2018

Finite codimensional controllability and optimal control problems with endpoint state constraints

Journal des Mathématiques Pures et Appliquées

DOI

2018

Stochastic Optimal Control Problems with Control and Initial-Final States Constraints

SIAM Journal of Control and Optimization

DOI

2018

Operator-valued backward stochastic Lyapunov equations in infinite dimensions, and its application

DOI

2018

Second-Order Necessary Conditions for Stochastic Optimal Control Problems

SIAM Review

DOI

2017

Second order optimality conditions for the Bolza endpoint constraint control problem evolved on a Riemannian manifold

Cybersecurity and Cyberforensics Conference

DOI

2017

Erratum to “Representation of Itô integrals by Lebesgue/Bochner integrals” (J. Eur. Math. Soc. 14, 1795–1823 (2012))

DOI

2017

Controllability of Evolution Equations with Memory

SIAM Journal of Control and Optimization

DOI

2016

中美股指间的动态相依结构及突变因素——基于时变Copula-ARMA-NAGARCH的分析

《北京工商大学学报(社会科学版)》，No. 2

下载原文DOI

2016

Finite Codimensional Controllability for Evolution Equations

2016

First and second order necessary conditions for stochastic optimal controls

DOI

2016

Pointwise second-order necessary conditions for optimal control problems evolved on Riemannian manifolds

DOI

2016

Necessary Optimality Conditions for Weak Local Minima in Stochastic Control

DOI

2016

Characterization of optimal feedback for stochastic linear quadratic control problems

DOI

2016

A Mini-Course on Stochastic Control

Series in Contemporary Applied Mathematics

DOI

2015

Some results on pointwise second-order necessary conditions for stochastic optimal controls

Science China Mathematics

DOI

2015

Second order optimality conditions for optimal control problems on Riemannian manifolds

E S A I M: Control, Optimisation and Calculus of Variations

DOI

2015

Null Controllability for Wave Equations with Memory

DOI

2015

Pointwise Second-Order Necessary Conditions for Stochastic Optimal Controls, Part II: The General Case

SIAM Journal of Control and Optimization

DOI

2015

An internal observability estimate for stochastic hyperbolic equations

DOI

2014

Necessary Condition for Optimal Controls, the Case of Non-convex Control Domains

DOI

2014

Well-Posedness of the Operator-Valued BSEEs in the General Case

DOI

2014

Well-Posedness Result for the Operator-Valued BSEEs with Special Data

DOI

2014

Transposition Method for Backward Stochastic Evolution Equations Revisited, and Its Application

DOI

2014

Sequential Banach-Alaoglu-Type Theorems in the Operator Version

DOI

2014

Pointwise Second-order Necessary Conditions for Stochastic Optimal Controls, Part I: The Case of Convex Control Constraint

SIAM Journal of Control and Optimization

DOI

2014

Well-Posedness of the Vector-Valued BSEEs

DOI

2014

Some Properties of the Relaxed Transposition Solutions to the Operator-Valued BSEEs

DOI

2014

Isospectral Operators

Communications in Mathematics and Statistics

DOI

2013

Carleman Estimates for Parabolic Operators with Discontinuous and Anisotropic Diffusion Coefficients, an Elementary Approach ∗

2012

Local Controllability of Multidimensional Quasi-Linear Parabolic Equations

SIAM Journal of Control and Optimization

DOI

2012

General Pontryagin-Type Stochastic Maximum Principle and Backward Stochastic Evolution Equations in Infinite Dimensions

DOI

2012

The weak maximum principle for a class of strongly coupled elliptic differential systems

DOI

2011

The Theory of Stochastic Pseudo-differential Operators and Its Applications, I

2011

Heat equation with memory in anisotropic and non-homogeneous media

DOI

2011

Numerical Solutions of Backward Stochastic Differential Equations: A Finite Transposition Method

DOI

2011

Global Uniqueness for an Inverse Stochastic Hyperbolic Problem with Three Unknowns

DOI

2010

A unified controllability/observability theory for some stochastic and deterministic partial differential equations

DOI

2010

Representation of It\^o Integrals by Lebesgue/Bochner Integrals

DOI

2010

Exact Controllability of the Time Discrete Wave Equation: A Multiplier Approach

DOI

2010

Calderon-Type Uniqueness Theorem for Stochastic Partial Differential Equations

2010

Recent progress on controllability/observability for systems governed by partial differential equations

Journal of Systems Science and Complexity

DOI

2010

Well-posedness of backward stochastic differential equations with general filtration

DOI

2009

Problem 5.5 Exact controllability of the semi-linear wave equation

DOI

2009

Remarks on the Controllability of Some Quasilinear Equations

DOI

2009

Null Controllability for Forward and Backward Stochastic Parabolic Equations

SIAM Journal of Control and Optimization

DOI

2009

On the local controllability of a class of multidimensional quasilinear parabolic equations

DOI

2009

Controllability and observability of a heat equation with hyperbolic memory kernel

DOI

2008

On the Optimality of the Observability Inequalities for Kirchhoff Plate Systems with Potentials in Unbounded Domains

DOI

2008

TIME DISCRETE WAVE EQUATIONS: BOUNDARY OBSERVABILITY AND CONTROL

DOI

2008

On the optimality of the observability inequalities for parabolic and hyperbolic systems with potentials

DOI

2007

Carleman and Observability Estimates for Stochastic Wave Equations

SIAM Journal on Mathematical Analysis

DOI

2007

Exact Controllability for Multidimensional Semilinear Hyperbolic Equations

SIAM Journal of Control and Optimization

DOI

2007

UNIQUE CONTINUATION AND OBSERVABILITY FOR STOCHASTIC PARABOLIC EQUATIONS AND BEYOND

DOI

2007

Long-Time Behavior of a Coupled Heat-Wave System Arising in Fluid-Structure Interaction

DOI

2006

Unique continuation for stochastic parabolic equations

Differential and Integral Equations

DOI

2006

A sharp observability inequality for Kirchhoffplate systems with potentials

DOI

2006

On the optimality of some observability inequalities for plate systems with potentials

DOI

2006

Asymptotic Behavior of a Hyperbolic-parabolic Coupled System Arising in Fluid-structure Interaction

DOI

2006

Approximate solutions to infinite dimensional LQ problems over infinite time horizon

DOI

2005

The Regularity of the Wave Equation with Partial Dirichlet Control and Colocated Observation

SIAM Journal of Control and Optimization

DOI

2005

Exact Controllability of the Heat Equation with Hyperbolic Memory Kernel

DOI

2004

Carleman inequality for backward stochastic parabolic equations with general coefficients

DOI

2004

Polynomial decay and control of a 1−d hyperbolic–parabolic coupled system

DOI

2004

Recent progress on exact controllability theory of the wave and plate equations

2003

Observability Inequalities by Internal Observation and Their Applications

DOI

2003

Polynomial decay and control of a 1-d model for fluid-structure interaction

DOI

2003

Control, observation and polynomial decay for a coupled heat-wave system

DOI

2003

Unique continuation for the linearized Benjamin-Bona-Mahony equation with space-dependent potential

DOI

2003

Global Exact Controllability of Semi-linear Time Reversible Systems in Infinite Dimensional Space

DOI

2003

Global Uniqueness and Stability for a Class of Multidimensional Inverse Hyperbolic Problems with Two Unknowns

DOI

2003

DECAY OF SOLUTIONS OF THE SYSTEM OF THERMOELASTICITY OF TYPE III

DOI

2003

Controllability of Nonlinear Partial Differential Equations

DOI

2003

The Linearized Benjamin-Bona-Mahony Equation : A Spectral Approach to Unique Continuation

2002

Stabilization of the wave equations with potential and indefinite damping

DOI

2001

Exact controllability of semilinear plate equations

Asymptotic Analysis

DOI

2001

Global uniqueness and stability for an inverse wave source problem for less regular data

DOI

2001

A Remark on Null Exact Controllability of the Heat Equation

SIAM Journal of Control and Optimization

DOI

2000

Exact Controllability for Semilinear Wave Equations

DOI

2000

A Note on the Singular Limit of the Exact Controllability of Dissipative Wave Equations

DOI

2000

Explicit Observability Inequalities for the Wave Equation with Lower Order Terms by Means of Carleman Inequalities

SIAM Journal of Control and Optimization

DOI

2000

Null controllability of the heat equation as singular limit of the exact controllability of dissipative wave equations

Journal des Mathématiques Pures et Appliquées

DOI

2000

Exact Internal Controllability of Maxwell's Equations

DOI

1999

RAPID EXACT CONTROLLABILITY OF THE SEMILINEAR WAVE EQUATION

DOI