Averaging of Linear Quadratic Parabolic Optimal Control Problem
AxiomsThis paper studies an averaged Linear Quadratic Regulator (LQR) problem for a parabolic partial differential equation (PDE), where the system dynamics are affected by uncertain parameters.
Olena Kapustian +2 more
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Infinite Horizon Linear Quadratic Overtaking Optimal Control Problems [PDF]
SIAM Journal on Control and Optimization, 2021 A linear control system with quadratic cost functional over infinite time horizon is considered without assuming controllability/stabilizability condition and the global integrability condition for the nonhomogeneous term of the state equation and the weight functions in the linear terms in the running cost rate function.
Jianping Huang +2 more
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Linear Quadratic Optimal Control Problem for Linear Stochastic Generalized System in Hilbert Spaces
Mathematics, 2022 A finite-horizon linear stochastic quadratic optimal control problem is investigated by the GE-evolution operator in the sense of the mild solution in Hilbert spaces.
Zhaoqiang Ge
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Two Inverse Problems Solution by Feedback Tracking Control
Axioms, 2021 Two inverse ill-posed problems are considered. The first problem is an input restoration of a linear system. The second one is a restoration of time-dependent coefficients of a linear ordinary differential equation.
Vladimir Turetsky
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Robust Quadratic Optimal Control for Discrete-Time Linear Systems with Non-Stochastic Noises
Applied Sciences, 2022 In this paper, the quadratic optimal control problem is investigated for the discrete-time linear systems with process and measurement noises which belong to specified ellipsoidal sets.
Jiaoru Huang +4 more
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Indefinite Backward Stochastic Linear-Quadratic Optimal Control Problems
ESAIM: Control, Optimisation and Calculus of Variations, 2023 This paper is concerned with a backward stochastic linear-quadratic (LQ, for short) optimal control problem with deterministic coefficients. The weighting matrices are allowed to be indefinite, and cross-product terms in the control and state processes are presented in the cost functional.
Sun, Jingrui, Wu, Zhen, Xiong, Jie
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Resolution of a Linear-quadratic Optimal Control Problem Based on Finite-dimensional Models
Известия Иркутского государственного университета: Серия "Математика", 2021 We consider a linear-quadratic optimal control problem with indefinite matrices and the interval control constraint. The problem also has a regularizationparameter in the functional.
V.A. Srochko +2 more
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Minimizing sequences for a linear-quadratic control problem with three-tempo variables under weak nonlinear perturbations [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2023 The paper deals with the construction of minimizing sequences for the problem of minimizing a weakly nonlinearly perturbed quadratic performance index on trajectories of a weakly nonlinear system with threetempo state variables. For this purpose,
G.A. Kurina, M.A. Kalashnikova
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Numerical Methods for Solving Linear Time Varying Quadratic Optimal Control Problems
Results in Control and Optimization, 2022 In this article, we discussed linear time varying optimal control problems with quadratic performance index, and approximated control variable, state variable and performance index. There are many different numerical processes for approximating of linear
Adane Akate Ayalew
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Turnpike Properties for Stochastic Linear-Quadratic Optimal Control Problems
Chinese Annals of Mathematics, Series B, 2022 This paper analyzes the limiting behavior of stochastic linear-quadratic optimal control problems in finite time horizon $[0,T]$ as $T\rightarrow\infty$. The so-called turnpike properties are established for such problems, under stabilizability condition which is weaker than the controllability, normally imposed in the similar problem for ordinary ...
Sun, Jingrui +2 more
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