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This work highlights the duality between state estimation methods and model predictive control. A predictive controller, observed control, is presented that uses this duality to efficiently compute control actions with linear time-horizon…

最优化与控制 · 数学 2025-08-20 Eugene T. Hamzezadeh , Andrew J. Petruska

This paper is devoted to the controllability analysis of a class of linear control systems in a Hilbert space. It is proposed to use the minimum energy controls of a reduced lumped parameter system for solving the infinite dimensional…

最优化与控制 · 数学 2018-03-02 Alexander Zuyev

Most existing necessary conditions for optimal control based on adjoining methods require both state and costate information, yet the unobservability of costates for a given feasible trajectory impedes the determination of optimality in…

最优化与控制 · 数学 2025-10-27 Yunan Wang , Chuxiong Hu , Yujie Lin , Zeyang Li , Shize Lin , Suqin He

This paper introduces a framework for quantitative characterization of the controllability of time-varying linear systems (or networks) in terms of input novelty. The motivation for such an approach comes from the study of biophysical…

最优化与控制 · 数学 2014-11-24 Gautam Kumar , Delsin Menolascino , ShiNung Ching

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

The first part of this paper is devoted to introducing an approach to compute the approximate minimum time function of control problems which is based on reachable set approximation and uses arithmetic operations for convex compact sets. In…

最优化与控制 · 数学 2016-01-01 Robert Baier , Thuy Thi Thien Le

This paper is concerned with the problem of robust reliable control for a class of uncertain 2D discrete switched systems with state delays represented by a model of Roesser type. The parameter uncertainties are assumed to be norm-bounded.…

动力系统 · 数学 2012-10-10 Shipei Huang , Zhengrong Xiang

In this paper it is established that any jointly controllable, jointly observable, multi-channel, discrete or continuous time linear system with a strongly connected neighbor (communication) graph can be exponentially stabilized with any…

系统与控制 · 电气工程与系统科学 2022-12-02 Fengjiao Liu , Lili Wang , Daniel Fullmer , A. Stephen Morse

For linear control systems in discrete time controllability properties are characterized. In particular, a unique control set with nonvoid interior exists and it is bounded in the hyperbolic case. Then a formula for the invariance pressure…

最优化与控制 · 数学 2021-05-18 Fritz Colonius , João A. N. Cossich , Alexandre J. Santana

This paper is devoted to the study of the null and approximate controllability for some classes of linear coupled parabolic systems with less controls than equations. More precisely, for a given bounded domain in R^N, we consider a system…

偏微分方程分析 · 数学 2017-01-23 Michel Duprez , Pierre Lissy

In this paper, we study approximate and exact controllability of the linear difference equation $x(t) = \sum\_{j=1}^N A\_j x(t - \Lambda\_j) + B u(t)$ in $L^2$, with $x(t) \in \mathbb C^d$ and $u(t) \in \mathbb C^m$, using as a basic tool a…

最优化与控制 · 数学 2019-11-11 Yacine Chitour , Guilherme Mazanti , Mario Sigalotti

In this work, sample-based observability of linear discrete-time systems is studied. That is, we consider the case where the system output measurements are not available at every time instance. It is shown that some discrete-time systems…

系统与控制 · 电气工程与系统科学 2023-04-26 Isabelle Krauss , Victor G. Lopez , Matthias A. Müller

The linear switching system is a system of ODE with the time-dependent matrix taking values from a given control matrix set. The system is (asymptotically) stable if all its trajectories tend to zero for every control function. We consider…

最优化与控制 · 数学 2022-09-27 Rinat Kamalov , Vladimir Yu. Protasov

This paper is concerned with a constrained stochastic linear-quadratic optimal control problem, in which the terminal state is fixed and the initial state is constrained to lie in a stochastic linear manifold. The controllability of…

最优化与控制 · 数学 2019-06-11 Xiuchun Bi , Jingrui Sun , Jie Xiong

It is well-known that the controllability of finite-dimensional nonlinear systems can be established by showing the controllability of the linearized system. However, this classical result does not generalize to infinite-dimensional…

最优化与控制 · 数学 2021-07-29 Bernd Kolar , Markus Schöberl

It is first shown that a smooth controllable system on a compact manifold is finite time controllable. The technique of proof is close to the one of Sussmann's orbit theorem, and no rank condition is required. This technique is also used to…

最优化与控制 · 数学 2012-05-01 Philippe Jouan

In this paper we stated a condition for the controllability of discrete-time linear systems for the case when the Lie group has finite semisimple center and provided a example in the Lie group $SL_2(\mathbb{R})$.

最优化与控制 · 数学 2024-04-01 Thiago Cavalheiro , Alexandre Santana , João Cossich

This paper presents a general framework for the design of linear controllers for linear systems subject to time-domain constraints. The design framework exploits sums-of-squares techniques to incorporate the time-domain constraints on…

We provide algorithmically verifiable necessary and sufficient conditions for fundamental system theoretic properties of discrete time linear systems subject to data losses. More precisely, the systems in our modeling framework are subject…

最优化与控制 · 数学 2016-09-20 Raphael M. Jungers , W. P. M. H. Heemels , Atreyee Kundu

We consider a controlled-diffusion process pertaining to a chain of distributed systems with random perturbations that satisfies a weak H\"ormander type condition. In particular, we consider a stochastic control problem with the following…

最优化与控制 · 数学 2015-09-29 Getachew K. Befekadu , Eduardo L. Pasiliao