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Published in 2019 at "Journal of Global Optimization"
DOI: 10.1007/s10898-019-00742-9
Abstract: The nonsmooth semi-infinite programming $$\left( {\textit{SIP}}\right) $$SIP is solved in the paper (Mishra et al. in J Glob Optim 53:285–296, 2012) using limiting subdifferentials. The necessary optimality condition obtained by the authors, as well as… read more here.
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Published in 2021 at "Journal of Optimization Theory and Applications"
DOI: 10.1007/s10957-021-01829-8
Abstract: In this paper, we study robust necessary optimality conditions for a nondifferentiable complex fractional programming with uncertain data. A robust counterpart of uncertain complex fractional programming is introduced in the worst-case scenario. The concept of… read more here.
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Published in 2017 at "Set-Valued and Variational Analysis"
DOI: 10.1007/s11228-017-0444-5
Abstract: In this paper we derive necessary optimality conditions for optimal control problems with nonlinear and nonsmooth implicit control systems. Implicit control systems have wide applications including differential algebraic equations (DAEs). The challenge in the study… read more here.
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Published in 2018 at "Numerical Functional Analysis and Optimization"
DOI: 10.1080/01630563.2018.1489415
Abstract: Abstract In this article, an optimal control problem with a delay in control is considered. The second-order necessary condition is obtained for the optimality of singular (in the sense of the maximum principle) control. Also,… read more here.
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Published in 2017 at "Optimization"
DOI: 10.1080/02331934.2017.1349123
Abstract: Abstract We consider a bilevel programming problem in Banach spaces whose lower level solution is unique for any choice of the upper level variable. A condition is presented which ensures that the lower level solution… read more here.
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Published in 2019 at "Transactions of the American Mathematical Society"
DOI: 10.1090/tran/7669
Abstract: The main purpose of this work is to establish some first and second order necessary optimality conditions for local minimizers of stochastic optimal control problems with state constraints. The control may affect both the drift… read more here.
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Published in 2018 at "Differential Equations"
DOI: 10.1134/s0012266118080086
Abstract: Impulsive optimal control problems are studied. Under the Frobenius conditions, second-order necessary optimality conditions are proved without any a priori normality assumptions. read more here.
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Published in 2018 at "Filomat"
DOI: 10.2298/fil1803749s
Abstract: In this paper, we continue investigation of the problem considered in our earlier works. The paper deals with an optimal control problem for an ordinary differential equation with integral boundary conditions that generalizes the Cauchy… read more here.