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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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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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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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Closed-Loop Solvability of Stochastic Linear-Quadratic Optimal Control Problems with Poisson Jumps
Mathematics, 2022 The stochastic linear–quadratic optimal control problem with Poisson jumps is addressed in this paper. The coefficients in the state equation and the weighting matrices in the cost functional are all deterministic but are allowed to be indefinite.
Zixuan Li, Jingtao Shi
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Axioms, 2022 The paper deals with an application of the direct scheme method, consisting of immediately substituting a postulated asymptotic solution into a problem condition and determining a series of control problems for finding asymptotics terms, for asymptotics ...
Galina Kurina, Margarita Kalashnikova
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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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Shooting continuous Runge–Kutta method for delay optimal control problems [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2022 In this paper, we present an efficient method to solve linear time-delay optimal control problems with a quadratic cost function. In this regard, first, by employing the Pontryagin maximum principle to time-delay systems, the original problem is converted
T. Khanbehbin +3 more
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Two numerical methods for nonlinear constrained quadratic optimal control problems using linear B-spline functions [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2016 This paper presents two numerical methods for solving the nonlinear constrained optimal control problems including quadratic performance index. The methods are based upon linear B-spline functions. The properties of B-spline functions are presented.
Yousof Edrisi-Tabri +2 more
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Моделирование и анализ информационных систем, 2021 For a continuous nonlinear control system on a finite time interval with control constraints, where the right-hand side of the dynamics equations is linear in control and linearizable in the vicinity of the zero equilibrium position, we consider the ...
Michail G. Dmitriev +2 more
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Computational and Mathematical Biophysics, 2023 This article consists of a detailed and novel stochastic optimal control analysis of a coupled non-linear dynamical system. The state equations are modelled as an additional food-provided prey–predator system with Holling type III functional response for
Prakash Daliparthi Bhanu +1 more
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