[HTML][HTML] First and second order necessary conditions for stochastic optimal controls

H Frankowska, H Zhang, X Zhang - Journal of Differential Equations, 2017 - Elsevier
The main purpose of this paper is to establish the first and second order necessary
optimality conditions for stochastic optimal controls using the classical variational analysis …

Pointwise second-order necessary conditions for stochastic optimal controls, Part II: The general case

H Zhang, X Zhang - SIAM Journal on Control and Optimization, 2017 - SIAM
This paper is the second part of our series of work to establish pointwise second-order
necessary conditions for stochastic optimal controls. In this part, we consider the general …

Second-order necessary conditions for stochastic optimal control problems

H Zhang, X Zhang - SIAM Review, 2018 - SIAM
The main purpose of this paper is to present some of our recent results about the second-
order necessary conditions for stochastic optimal controls with the control variable entering …

Second-order maximum principle controlled weakly singular Volterra integral equations

JJ Gasimov, NI Mahmudov - arXiv preprint arXiv:2401.15740, 2024 - arxiv.org
Second-order maximum principle controlled weakly singular Volterra integral equations Page 1
arXiv:2401.15740v1 [math.OC] 28 Jan 2024 Second-order maximum principle controlled …

Second order optimality conditions for optimal control problems of stochastic evolution equations

Q Lu, H Zhang, X Zhang - arXiv preprint arXiv:1811.07337, 2018 - arxiv.org
In this paper, we establish some second order necessary/sufficient optimality conditions for
optimal control problems of stochastic evolution equations in infinite dimensions. The control …

Second order necessary conditions for optimal control problems of stochastic evolution equations

Q Lü, H Zhang, X Zhang - SIAM Journal on Control and Optimization, 2021 - SIAM
In this paper, we obtain some second order necessary conditions for optimal control
problems of stochastic evolution equations in infinite dimensions. The control acts on both …

Second order necessary conditions for optimal control problems of stochastic evolution equations

Q Lu - 2016 35th Chinese Control Conference (CCC), 2016 - ieeexplore.ieee.org
The classical Pontryagin maximum principle is a first-order necessary condition (FONC for
short) for optimal controls of ordinary differential equations (ODEs for short). When the FONC …

The second-order maximum principle for partially observed optimal controls

M Li, Z Wu - Mathematical Control and Related Fields, 2022 - aimsciences.org
The second-order maximum principle for partially observed optimal controls AIMS share this
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