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Necessary optimality conditions and numerical methods for solving an optimal control problem for a linear continuous-time dynanical system with controlled coefficients and quadratic goal functional are discussed.

最优化与控制 · 数学 2010-04-20 Olga V. Baturina , Alexander V. Bulatov , Vadim F. Krotov

We consider the problem of finite-horizon optimal control design under uncertainty for imperfectly observed discrete-time systems with convex costs and constraints. It is known that this problem can be cast as an infinite-dimensional convex…

最优化与控制 · 数学 2019-04-02 Kevin J. Kircher , K. Max Zhang

In this paper we investigate the optimal control problem for a class of stochastic Cauchy evolution problem with non standard boundary dynamic and control. The model is composed by an infinite dimensional dynamical system coupled with a…

概率论 · 数学 2015-05-13 S. Bonaccorsi , F. Confortola , E. Mastrogiacomo

This paper considers a class of uncertain linear quantum systems subject to uncertain perturbations in the system Hamiltonian. We present a method to design a coherent robust H-infinity controller so that the closed loop system is robustly…

系统与控制 · 计算机科学 2015-09-10 Chengdi Xiang , Ian R. Petersen , Daoyi Dong

In this paper, we study a class of finite-time control problems for discrete-time positive linear systems with time-varying state parameters. Although several interesting control problems appearing in population biology, economics, and…

系统与控制 · 电气工程与系统科学 2020-08-04 Chengyan Zhao , Masaki Ogura , Kenji Sugimoto

In this work, we consider the problem of steering the first two moments of the uncertain state of a discrete time nonlinear stochastic system to prescribed goal quantities at a given final time. In principle, the latter problem can be…

最优化与控制 · 数学 2020-10-01 Efstathios Bakolas , Alexandros Tsolovikos

Several concepts on the measure of observability, reachability, and robustness are defined and illustrated for both linear and nonlinear control systems. Defined by using computational dynamic optimization, these concepts are applicable to…

最优化与控制 · 数学 2009-07-17 Wei Kang , Liang Xu

For nonlinear discrete time systems satisfying a controllability condition, we present a stability condition for model predictive control without stabilizing terminal constraints or costs. The condition is given in terms of an analytical…

最优化与控制 · 数学 2012-04-02 Lars Grüne , Jürgen Pannek , Martin Seehafer , Karl Worthmann

We present a stochastic constrained output-feedback data-driven predictive control scheme for linear time-invariant systems subject to bounded additive disturbances. The approach uses data-driven predictors based on an extension of Willems'…

系统与控制 · 电气工程与系统科学 2025-10-07 Johannes Teutsch , Sebastian Kerz , Dirk Wollherr , Marion Leibold

Research on control using models based on machine-learning methods has now shifted to the practical engineering stage. Achieving high performance and theoretically guaranteeing the safety of the system is critical for such applications. In…

系统与控制 · 电气工程与系统科学 2025-01-28 Ryuta Moriyasu , Masayuki Kusunoki , Kenji Kashima

The paper continues the authors' study of the linearizability problem for nonlinear control systems. In the recent work [K. Sklyar, Systems Control Lett. 134 (2019), 104572], conditions on mappability of a nonlinear control system to a…

最优化与控制 · 数学 2021-01-26 Katerina V. Sklyar , Svetlana Yu. Ignatovich

In this paper, we propose a chance constrained stochastic model predictive control scheme for reference tracking of distributed linear time-invariant systems with additive stochastic uncertainty. The chance constraints are reformulated…

最优化与控制 · 数学 2023-03-07 Christoph Mark , Steven Liu

This paper is concerned with the existence of optimal controls for backward stochastic partial differential equations with random coefficients, in which the control systems are represented in an abstract evolution form, i.e. backward…

最优化与控制 · 数学 2016-12-07 Qingxin Meng , Yang Shen , Peng Shi

We consider adaptive control problem in presence of nonlinear parametrization of uncertainties in the model. It is shown that despite traditional approaches require for domination in the control loop during adaptation, it is not often…

最优化与控制 · 数学 2007-05-23 Ivan Tyukin , Cees van Leeuwen

This paper is concerned with the maximum principle of stochastic optimal control problems, where the coefficients of the state equation and the cost functional are uncertain, and the system is generally under Markovian regime switching.…

最优化与控制 · 数学 2025-04-15 Tao Hao , Jiaqiang Wen , Jie Xiong

The problem of exact observability is analyzed for a wide class of neutral type systems by an infinite dimensional approach. The duality with the exact controllabil-ity problem is the main tool. It is based on an explicit expression of a…

最优化与控制 · 数学 2015-12-29 Rabah Rabah , Grigory Sklyar

An algebraic characterization of the property of approximate controllability is given, for behaviours of spatially invariant dynamical systems, consisting of distributional solutions, that are periodic in the spatial variables, to a system…

最优化与控制 · 数学 2014-02-19 Amol Sasane

For the formal verification and design of control systems, abstractions with quantified accuracy are crucial. This is especially the case when considering accurate deviation bounds between a stochastic continuous-state model and its finite…

系统与控制 · 电气工程与系统科学 2022-01-19 B. C. van Huijgevoort , S. Haesaert

Motivated by the recent interest in risk-aware control, we study a continuous-time control synthesis problem to bound the risk that a stochastic linear system violates a given specification. We use risk signal temporal logic as a…

系统与控制 · 电气工程与系统科学 2022-04-12 Sleiman Safaoui , Lars Lindemann , Iman Shames , Tyler H. Summers

We consider the adaptive control problem for discrete-time, nonlinear stochastic systems with linearly parameterised uncertainty. Assuming access to a parameterised family of controllers that can stabilise the system in a bounded set within…

系统与控制 · 电气工程与系统科学 2025-11-24 Seth Siriya , Jingge Zhu , Dragan Nešić , Ye Pu