Second-Order Lagrange Multiplier Rules in Multiobjective Optimal Control of Infinite Dimensional Systems Under State Constraints and Mixed Pointwise Constraints

Applied Mathematics & Optimization ◽

10.1007/s00245-021-09803-6 ◽

2021 ◽

Author(s):

Tuan Nguyen Dinh

Keyword(s):

Optimal Control ◽

Lagrange Multiplier ◽

State Constraints ◽

Second Order ◽

Infinite Dimensional ◽

Infinite Dimensional Systems ◽

Multiplier Rules ◽

Multiobjective Optimal Control ◽

Pointwise Constraints

Download Full-text

Second-Order Lagrange Multiplier Rules in Multiobjective Optimal Control of Semilinear Parabolic Equations

Set-Valued and Variational Analysis ◽

10.1007/s11228-020-00555-z ◽

2020 ◽

Author(s):

Tuan Nguyen Dinh

Keyword(s):

Optimal Control ◽

Lagrange Multiplier ◽

Parabolic Equations ◽

Second Order ◽

Semilinear Parabolic Equations ◽

Multiplier Rules ◽

Multiobjective Optimal Control ◽

Semilinear Parabolic

Download Full-text

Second-Order Optimality Conditions for Multiobjective Optimal Control Problems with Mixed Pointwise Constraints and Free Right End Point

SIAM Journal on Control and Optimization ◽

10.1137/19m1281770 ◽

2020 ◽

Vol 58 (4) ◽

pp. 2658-2677

Author(s):

Bui Trong Kien ◽

Xiaolong Qin ◽

Ching-Feng Wen ◽

Jen-Chih Yao

Keyword(s):

Optimal Control ◽

Optimality Conditions ◽

Optimal Control Problems ◽

Second Order ◽

Control Problems ◽

Second Order Optimality Conditions ◽

End Point ◽

Multiobjective Optimal Control ◽

Pointwise Constraints

Download Full-text

On second order necessary conditions in infinite dimensional optimal control with state constraints

2019 IEEE 58th Conference on Decision and Control (CDC) ◽

10.1109/cdc40024.2019.9030176 ◽

2019 ◽

Author(s):

H. Frankowska ◽

E. M. Marchini ◽

M. Mazzola

Keyword(s):

Optimal Control ◽

State Constraints ◽

Necessary Conditions ◽

Second Order ◽

Infinite Dimensional ◽

Second Order Necessary Conditions

Download Full-text

Second-order analysis for optimal control problems with pure state constraints and mixed control-state constraints

Annales de l Institut Henri Poincaré C Analyse non linéaire ◽

10.1016/j.anihpc.2007.12.002 ◽

2009 ◽

Vol 26 (2) ◽

pp. 561-598 ◽

Author(s):

J. Frédéric Bonnans ◽

Audrey Hermant

Keyword(s):

Optimal Control ◽

State Constraints ◽

Optimal Control Problems ◽

Second Order ◽

Control Problems ◽

Order Analysis ◽

Mixed Control ◽

Pure State Constraints ◽

Download Full-text

Second-Order KKT Optimality Conditions for MultiObjective Optimal Control Problems

SIAM Journal on Control and Optimization ◽

10.1137/17m1161750 ◽

2018 ◽

Vol 56 (6) ◽

pp. 4069-4097 ◽

Author(s):

Bui Trong Kien ◽

Nguyen Van Tuyen ◽

Jen-Chih Yao

Keyword(s):

Optimal Control ◽

Optimality Conditions ◽

Optimal Control Problems ◽

Second Order ◽

Control Problems ◽

Kkt Optimality Conditions ◽

Multiobjective Optimal Control

Download Full-text

Approximation methods in optimal control problems for nonlinear infinite-dimensional systems

Mathematical Notes ◽

10.1134/s0001434613090277 ◽

2013 ◽

Vol 94 (3-4) ◽

pp. 567-582

Author(s):

S. Ya. Serovaiskii

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Control Problems ◽

Approximation Methods ◽

Infinite Dimensional ◽

Infinite Dimensional Systems

Download Full-text

Optimal control for infinite dimensional systems

Control Theory of Distributed Parameter Systems and Applications - Lecture Notes in Control and Information Sciences ◽

10.1007/bfb0004441 ◽

2005 ◽

pp. 96-105 ◽

Author(s):

Xunjing Li

Keyword(s):

Optimal Control ◽

Infinite Dimensional ◽

Infinite Dimensional Systems

Download Full-text

Optimal Control Theory for Infinite Dimensional Systems

10.1007/978-1-4612-4260-4 ◽

1995 ◽

Author(s):

Xunjing Li ◽

Jiongmin Yong

Keyword(s):

Optimal Control ◽

Control Theory ◽

Optimal Control Theory ◽

Infinite Dimensional ◽

Infinite Dimensional Systems

Download Full-text

Distributed Optimal Control of Lagrangian Infinite-Dimensional Systems with Kalman Filter Estimation

10.2514/6.2022-2027 ◽

2022 ◽

Author(s):

Nhan T. Nguyen

Keyword(s):

Optimal Control ◽

Kalman Filter ◽

Distributed Optimal Control ◽

Infinite Dimensional ◽

Infinite Dimensional Systems

Download Full-text

Optimal Control and Synthesis of Nonlinear Infinite Dimensional Systems

Control Of Nonlinear Distributed Parameter Systems ◽

10.1201/9780203904190-22 ◽

2001 ◽

pp. 320-358

Keyword(s):

Optimal Control ◽

Infinite Dimensional ◽

Infinite Dimensional Systems

Download Full-text