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- Nguyen Thi Toan, Qamrul Hasan Ansari, Jen-Chih Yao
- J. Optimization Theory and Applications
- 2015

- Nguyen Thi Toan, Jen-Chih Yao
- J. Global Optimization
- 2014

This paper is devoted to the study of the first-order behavior of the value function of a parametric discrete optimal control problem with nonconvex cost functions and control constraints. By establishing an abstract result on the Mordukhovich subdifferential of the value function of a parametric mathematical programming problem, we derive a formula for… (More)

- Nguyen Thi Toan, Le Quang Thuy
- J. Global Optimization
- 2016

In this paper, we study second-order necessary optimality conditions for a discrete optimal control problem with nonconvex cost functions and state-control constraints. By establishing an abstract result on second-order necessary optimality conditions for a mathematical programming problem, we derive second-order necessary optimality conditions for a… (More)

- Nguyen Huy Chieu, Bui Trong Kien, Nguyen Thi Toan
- J. Optimization Theory and Applications
- 2016

- Le Quang Thuy, Bui Thi Thanh, Nguyen Thi Toan
- J. Optimization Theory and Applications
- 2017

Motivated by our recent works on optimality conditions in discrete optimal control problems under a nonconvex cost function, in this paper,we study second-order necessary and sufficient optimality conditions for a discrete optimal control problem with a nonconvex cost function and state-control constraints. By establishing an abstract result on second-order… (More)

- Le Quang Thuy, Nguyen Thi Toan
- J. Optimization Theory and Applications
- 2016

- Bui Trong Kien, Nguyen Thi Toan, M.-M. Wong, Jen-Chih Yao
- SIAM J. Control and Optimization
- 2012

- Nguyen Thi Toan
- 2014

This paper is devoted to the study the first-order behavior of the value function of a parametric optimal control problem with linear constraints and a nonconvex cost function. By establishing an abstract result on the Mordukhovich subdifferential of the value function of a parametric mathematical programming problem, we derive a formula for computing the… (More)

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