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Numerical solutions for the optimal feedback stabilization of discrete time dynamical systems is the focus of this paper. Set-theoretic notion of almost everywhere stability introduced by the Lyapunov measure, weaker than conventional…

最优化与控制 · 数学 2017-02-20 Arvind Raghunathan , Umesh Vaidya

This contribution proposes a recursive, computationally efficient, ready-to-use, online method for the ellipsoidal state characterization for linear discrete-time models with additive unknown disturbances vectors (bounded by known possibly…

系统与控制 · 电气工程与系统科学 2021-04-28 Yasmina Becis-Aubry

Problem of time-optimal control of linear systems with fractional dynamics is treated in the paper from the convex-analytic standpoint. A linear system of fractional differential equations involving Riemann--Liouville derivatives is…

最优化与控制 · 数学 2020-07-02 Ivan Matychyn

It is a longstanding unsolved problem to characterize the optimal feedback controls for general linear quadratic optimal control problem of stochastic evolution equation with random coefficients. A solution to this problem is given in [21]…

最优化与控制 · 数学 2022-02-22 Qi Lü , Tianxiao Wang

Abstract-In this manuscript, model predictive control for class of discrete fuzzy large-scale systems subjected to bounded time-varying delay and disturbances is studied. The considered method is Razumikhin for time-varying delay…

系统与控制 · 电气工程与系统科学 2021-08-26 Mohammad Sarbaz , Iman Zamani , Mohammad Manthouri , Asier Ibeas

We present two related anytime algorithms for control of nonlinear systems when the processing resources available are time-varying. The basic idea is to calculate tentative control input sequences for as many time steps into the future as…

最优化与控制 · 数学 2013-08-09 Daniel E. Quevedo , Vijay Gupta

This paper addresses the problem of robust control of a linear discrete-time system subject to bounded disturbances and to measurement and control budget constraints. Using Q-parameterization and a polytope containment method, we prove that…

最优化与控制 · 数学 2021-09-23 Antoine Aspeel , Kwesi Rutledge , Raphaël M. Jungers , Benoit Macq , Necmiye Özay

In this paper we develop a novel, discrete-time optimal control framework for mechanical systems with uncertain model parameters. We consider finite-horizon problems where the performance index depends on the statistical moments of the…

最优化与控制 · 数学 2017-05-17 George I. Boutselis , Yunpeng Pan , Gerardo De La Tore , Evangelos A. Theodorou

Algebraically speaking, linear time-invariant (LTI) systems can be considered as modules. In this framework, controllability is translated as the freeness of the system module. Optimal control mainly relies on quadratic Lagrangians and the…

最优化与控制 · 数学 2024-10-10 Cédric Join , Emmanuel Delaleau , Michel Fliess

Lyapunov redesign is a classical technique that uses a nominal control and its corresponding nominal Lyapunov function to design a discontinuous control, such that it compensates the uncertainties and disturbances. In this paper, the idea…

系统与控制 · 电气工程与系统科学 2024-05-16 Manuel A. Estrada , Claudia A. Pérez-Pinacho , Christopher D. Cruz-Ancona , Leonid Fridman

In this paper, we consider the analysis and control of continuous-time nonlinear systems to ensure universal shifted stability and performance, i.e., stability and performance w.r.t. each forced equilibrium point of the system. This…

系统与控制 · 电气工程与系统科学 2023-08-17 Patrick J. W. Koelewijn , Siep Weiland , Roland Tóth

In the current work we demonstrate the principal possibility of prediction of the response of the largest Lyapunov exponent of a chaotic dynamical system to a small constant forcing perturbation via a linearized relation, which is computed…

动力系统 · 数学 2017-02-28 Rafail V. Abramov

In this paper, we study the use of state-of-the-art nonlinear system identification techniques for the optimal control of nonlinear systems. We show that the nonlinear systems identification problem is equivalent to estimating the…

最优化与控制 · 数学 2023-10-23 Aayushman Sharma , Suman Chakravorty

In this paper, we study the optimal control problem for steering the state covariance of a discrete-time linear stochastic system over a finite time horizon. First, we establish the existence and uniqueness of the optimal control law for a…

系统与控制 · 电气工程与系统科学 2024-10-08 Fengjiao Liu , George Rapakoulias , Panagiotis Tsiotras

Periodic operation often emerges as the economically optimal mode in industrial processes, particularly under varying economic or environmental conditions. This paper proposes a robust model predictive control (MPC) framework for uncertain…

The paper is devoted to the study of a new class of optimal control problems for nonsmooth dynamical systems governed by nonconvex discontinuous differential inclusions of the sweeping type with involving variable time into optimization. We…

最优化与控制 · 数学 2025-03-05 Tan H. Cao , Boris S. Mordukhovich , Dao Nguyen , Trang Nguyen , Nguyen N. Thieu

We consider an optimal control problem governed by an elliptic variational inequality of the second kind. The problem is discretized by linear finite elements for the state and a variational discrete approach for the control. Based on a…

数值分析 · 数学 2020-11-25 Christian Meyer , Monika Weymuth

Achieving optimal steady-state performance in real-time is an increasingly necessary requirement of many critical infrastructure systems. In pursuit of this goal, this paper builds a systematic design framework of feedback controllers for…

最优化与控制 · 数学 2017-10-30 Zachary E. Nelson , Enrique Mallada

The paper deals with the control and regulation by integral controllers forthe nonlinear systems governed by scalar quasi-linear hyperbolic partial differentialequations. Both the control input and the measured output are located on the…

偏微分方程分析 · 数学 2019-04-30 Vincent Andrieu , Ngoc-Tu Trinh , Cheng-Zhong Xu

A robust controller is developed for uncertain, second-order nonlinear systems subject to simultaneous unknown, time-varying state delays and known, time-varying input delays in addition to additive, sufficiently smooth disturbances. An…

系统与控制 · 计算机科学 2017-07-25 Rushikesh Kamalapurkar , Nicholas Fischer , Serhat Obuz , Warren E. Dixon