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This paper presents a novel robust trajectory optimization method for constrained nonlinear dynamical systems subject to unknown bounded disturbances. In particular, we seek optimal control policies that remain robustly feasible with…

系统与控制 · 电气工程与系统科学 2025-04-08 Arshiya Taj Abdul , Augustinos D. Saravanos , Evangelos A. Theodorou

We consider a control problem constrained by the unsteady stochastic Stokes equations with nonhomogeneous boundary conditions in connected and bounded domains. In this paper, controls are defined inside the domain as well as on the…

最优化与控制 · 数学 2018-09-05 Peter Benner , Christoph Trautwein

We study the singular stochastic optimal control problem with model uncertainty, where the necessary conditions determined by the corresponding maximum principle are trivial. Robust integral form and pointwise second order necessary…

最优化与控制 · 数学 2025-12-09 Guangdong Jing

In this paper we propose a new methodology for solving an uncertain stochastic Markovian control problem in discrete time. We call the proposed methodology the adaptive robust control. We demonstrate that the uncertain control problem under…

最优化与控制 · 数学 2017-06-08 Tomasz R. Bielecki , Tao Chen , Igor Cialenco , Areski Cousin , Monique Jeanblanc

Our work is devoted to the study of Pontryagin's stochastic maximum principle for a mean-field optimal control problem under Peng's $G$-expectation. The dynamics of the controlled state process is given by a stochastic differential equation…

最优化与控制 · 数学 2022-11-10 Rainer Buckdahn , Bowen He , Juan Li

This paper first describes a class of uncertain stochastic control systems with Markovian switching, and derives an It\^o-Liu formula for Markov-modulated processes. And we characterize an optimal control law, which satisfies the…

最优化与控制 · 数学 2014-01-14 Weiyin Fei

This paper firstly presents the necessary and sufficient conditions for a kind of discrete-time robust stochastic optimal control problem with convex control domains. As it is an "inf sup problem", the classical variational method is…

最优化与控制 · 数学 2025-08-26 Wei He

In this paper, we derive first-order Pontryagin optimality conditions for risk-averse stochastic optimal control problems subject to final time inequality constraints, and whose costs are general, possibly non-smooth finite coherent risk…

最优化与控制 · 数学 2023-05-30 Riccardo Bonalli , Benoît Bonnet

This paper studies (single-time and multitime) optimal control problems on a nonholonomic manifold (described either by the kernel of a Gibbs-Pfaff form or by the span of appropriate vector fields). For both descriptions we analyse:…

最优化与控制 · 数学 2017-02-10 Constantin Udriste

Recent low-thrust space missions have highlighted the importance of designing trajectories that are robust against uncertainties. In its complete form, this process is formulated as a nonlinear constrained stochastic optimal control…

最优化与控制 · 数学 2022-02-25 Naoya Ozaki , Stefano Campagnola , Ryu Funase

IIn this paper, we study a partially observed progressive optimal control problem of forward-backward stochastic differential equations with random jumps, where the control domain is not necessarily convex, and the control variable enter…

最优化与控制 · 数学 2022-06-27 Yueyang Zheng , Jingtao Shi

We study a stochastic control system involving both a standard and a fractional Brownian motion with Hurst parameter less than 1/2. We apply an anticipative Girsanov transformation to transform the system into another one, driven only by…

最优化与控制 · 数学 2016-05-06 Rainer Buckdahn , Shuai Jing

In this paper, we discuss the relationships between capacity of control in entropy theory and intrinsic properties in control theory for a class of finite dimensional stochastic dynamical systems described by a linear stochastic…

最优化与控制 · 数学 2019-01-31 Salah H. Abid , Uday J. Quaez

In this paper, an open problem is solved, for the stochastic optimal control problem with delay where the control domain is nonconvex and the diffusion term contains both control and its delayed term. Inspired by previous results by \O…

最优化与控制 · 数学 2020-07-14 Weijun Meng , Jingtao Shi

The problem of suboptimality under bounded disturbances for the adaptive systems based on speed-graadient approach is discussed. A formulation of the estimated optimality of nonlinear nonlinearly parametrized adaptive control systems is…

最优化与控制 · 数学 2025-03-27 Alexander Fradkov

In this paper, we obtain the maximum principle for optimal controls of stochastic systems with jumps by introducing a new method of variation. The control is allowed to enter both diffusion and jump term and the control domain need not to…

最优化与控制 · 数学 2019-10-10 Yuanzhuo Song , Shanjian Tang , Zhen Wu

In this paper, we establish a general stochastic maximum principle for optimal control for systems described by a continuous-time Markov regime-switching stochastic recursive utilities model. The control domain is postulated not to be…

最优化与控制 · 数学 2019-05-02 Liangquan Zhang , Xun Li

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 approach. The control system is governed by a stochastic…

最优化与控制 · 数学 2016-11-09 Hélène Frankowska , Haisen Zhang , Xu Zhang

In this paper, we consider a geometric formalism for optimal control of underactuated mechanical systems. Our techniques are an adaptation of the classical Skinner and Rusk approach for the case of Lagrangian dynamics with higher-order…

数学物理 · 物理学 2015-05-14 L. Colombo , D. Martin de Diego , M. Zuccalli

In this article, we consider transport networks with uncertain demands. Network dynamics are given by linear hyperbolic partial differential equations and suitable coupling conditions, while demands are incorporated as solutions to…

最优化与控制 · 数学 2022-08-16 Simone Göttlich , Thomas Schillinger