Results 31 to 40 of about 230,932 (286)
Optimal treatment strategy of cancers with intratumor heterogeneity
Mathematical Biosciences and Engineering, 2022 Intratumor heterogeneity hinders the success of anti-cancer treatment due to the interaction between different types of cells. To recapitulate the communication of different types of cells, we developed a mathematical model to study the dynamic ...
Haifeng Zhang, Jinzhi Lei
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Inverse optimal control problem: the linear-quadratic case [PDF]
2018 IEEE Conference on Decision and Control (CDC), 2018 A common assumption in physiology about human motion is that the realized movements are done in an optimal way. The problem of recovering of the optimality principle leads to the inverse optimal control problem. Formally, in the inverse optimal control problem we should find a cost-function such that under the known dynamical constraint the observed ...
Frederic Jean, Sofya Maslovskaya
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APPROXIMATING SOLUTIONS FOR A CLASS OF STOCHASTIC FRACTIONAL LINEAR QUADRATIC OPTIMAL CONTROL PROBLEMS [PDF]
Analele Universităţii "Constantin Brâncuşi" din Târgu Jiu: Seria Inginerie, 2018 In this paper we consider a linear quadratic control problem for a class of discretetime fractional order systems with multiplicative noise and we find lower bounds of the optimal cost and approximating solutions for the optimal control law.
Viorica Mariela Ungureanu
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Discrete Dynamics in Nature and Society, 2020 In this paper, we investigate the necessary optimality conditions of the discrete stochastic optimal control problems driven by both fractional noise and white noise. Here, the admissible control region is not necessarily convex.
Yuecai Han, Zheng Li
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Optimal Control for a Multistage Uncertain Random System
IEEE Access, 2023 Chance theory is a mathematical methodology for modelling complex systems including both uncertainty and randomness. Based on chance theory, this paper introduces the optimal control model for a multistage uncertain random system.
Xin Chen, Ting Jin
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Linear quadratic optimal control of conditional McKean-Vlasov equation with random coefficients and applications * [PDF]
, 2016 We consider the optimal control problem for a linear conditional McKean-Vlasov equation with quadratic cost functional. The coefficients of the system and the weigh-ting matrices in the cost functional are allowed to be adapted processes with respect to ...
Pham, Huyên
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Singularly perturbed forward-backward stochastic differential equations: application to the optimal control of bilinear systems [PDF]
, 2018 We study linear-quadratic stochastic optimal control problems with bilinear state dependence for which the underlying stochastic differential equation (SDE) consists of slow and fast degrees of freedom.
Hartmann, Carsten +2 more
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Advances in Difference Equations, 2019 This paper is concerned with an optimal control problem for a linear stochastic differential equation (SDE) of mean-field type, where the drift coefficient of observation equation is linear with respect to the state, the control and their expectations ...
Haiyan Zhang
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Weak and strong minima : from calculus of variation toward PDE optimization [PDF]
, 2013 This note summarizes some recent advances on the theory of optimality conditions for PDE optimization. We focus our attention on the concept of strong minima for optimal control problems governed by semi-linear elliptic and parabolic equations.
Bayen, Térence, Silva, Francisco José
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Известия Иркутского государственного университета: Серия "Математика"The paper provides a brief review of some results obtained in the study of linear-quadratic optimal control problems by one of the founders of the Irkutsk school of optimal control Professor V. A. Srochko.
V.G. Antonik, A. V. Arguchintsev
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