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This paper discusses the robustness of the constant-delay predictor feedback in the case of an uncertain time-varying input delay. Specifically, we study the stability of the closed-loop system when the predictor feedback is designed based…

最优化与控制 · 数学 2019-08-29 Hugo Lhachemi , Christophe Prieur , Robert Shorten

A set of N independent Gaussian linear time invariant systems is observed by M sensors whose task is to provide the best possible steady-state causal minimum mean square estimate of the state of the systems, in addition to minimizing a…

最优化与控制 · 数学 2008-10-30 Jerome Le Ny , Eric Feron , Munther A. Dahleh

We consider a nonlinear non-autonomous system with time-varying delays $$ \dot{x_i}(t)=-a_i(t)x_{i}(h_i(t))+\sum_{j=1}^mF_{ij}(t,x_j(g_{ij}(t))) $$ which has a large number of applications in the theory of artificial neural networks. Via…

动力系统 · 数学 2013-09-10 Leonid Berezansky , Elena Braverman , Lev Idels

In this work, we propose a rigorous method for implementing predictor feedback controllers in nonlinear systems with unknown and arbitrarily long actuator delays. To address the analytically intractable nature of the predictor, we…

系统与控制 · 电气工程与系统科学 2025-08-29 Luke Bhan , Miroslav Krstic , Yuanyuan Shi

The paper studies the relation between a nonlinear time-varying flat discrete-time system and the corresponding linear time-varying systems which are obtained by a linearization along trajectories. It is motivated by the continuous-time…

最优化与控制 · 数学 2024-03-26 Bernd Kolar , Johannes Diwold , Conrad Gstöttner , Markus Schöberl

Artificial time delay controller was conceptualised for nonlinear systems to reduce dependency on precise system modelling unlike the conventional adaptive and robust control strategies. In this approach unknown dynamics is compensated by…

机器人学 · 计算机科学 2024-09-04 Swati Dantu

The paper concerns a class of $n$-dimensional non-autonomous delay differential equations obtained by adding a non-monotone delayed perturbation to a linear homogeneous cooperative system of ordinary differential equations. This family…

经典分析与常微分方程 · 数学 2018-07-10 Teresa Faria , Rafael Obaya , Ana M. Sanz

We give a characterization of the controllability for discrete-time linear systems with convex output constraints. It extends all previously known characterizations in the literature, as well as our previous results on controllability of…

最优化与控制 · 数学 2018-12-06 Mustafa Devrim Kaba , M. Kanat Camlibel

A class of discrete-time nonlinear positive time-delay switched systems with sector-type nonlinearities is studied. Sufficient conditions for the existence of common and switched diagonal Lyapunov--Krasovskii functionals for this system…

最优化与控制 · 数学 2017-10-02 Alexander Aleksandrov , Oliver Mason

This paper deals with stability of discrete-time switched linear systems whose all subsystems are unstable and the set of admissible switching signals obeys pre-specified restrictions on switches between the subsystems and dwell times on…

系统与控制 · 电气工程与系统科学 2021-11-11 Atreyee Kundu

Trajectory tracking of nonlinear dynamical systems with affine open-loop controls is investigated. The control task is to enforce the system state to follow a prescribed desired trajectory as closely as possible. We introduce exactly…

最优化与控制 · 数学 2016-03-03 Jakob Löber

This paper studies optimal control and stabilization problems for continuous-time mean-field systems with input delay, which are the fundamental development of control and stabilization problems for mean-field systems. There are two main…

最优化与控制 · 数学 2020-10-19 Xiao Ma , Qingyuan Qi , Xun Li , Huanshui Zhang

In this paper, we study the target controllability problem of networked dynamical systems, in which we are tasked to steer a subset of network states towards a desired objective. More specifically, we derive necessary and sufficient…

最优化与控制 · 数学 2018-09-25 Jingqi Li , Ximing Chen , Sérgio Pequito , George J. Pappas , Victor M. Preciado

We investigate a stochastic optimal control problem where the controlled system is depicted as a stochastic differential delayed equation; however, at the terminal time, the state is constrained in a convex set. We firstly introduce an…

概率论 · 数学 2017-05-12 Jiaqiang Wen , Yufeng Shi

This study focuses on the problem of optimal mismatched disturbance rejection control for uncontrollable linear discrete-time systems. In contrast to previous studies, by introducing a quadratic performance index such that the regulated…

最优化与控制 · 数学 2022-09-16 Shichao Lv , Hongdan Li , Kai Peng , Huanshui Zhang

This paper presents a characterization of distributed controllers subject to delay constraints induced by a strongly connected communication graph that achieve a prescribed closed loop $\mathcal{H}_\infty$ norm. Inspired by the solution to…

最优化与控制 · 数学 2014-02-11 Nikolai Matni

Feedback control (based on the quantum continuous measurement) of quantum systems inevitably suffers from estimation delays. In this paper we give a delay-dependent stability criterion for a wide class of nonlinear stochastic systems…

量子物理 · 物理学 2011-12-05 Kenji Kashima , Naoki Yamamoto

This article is devoted to the study of null controllability for evolution equations that incorporate both memory and delay effects. The problem is particularly challenging due to the presence of memory integrals and delayed states, which…

最优化与控制 · 数学 2025-06-30 Dev Prakash Jha , Raju K. George

In this paper, a class of Kolmogorov systems with delays are studied. Sufficient conditions are provided for a system to have a compact uniform attractor. Then Jansen's result (J. Math. Biol. Vol. 25 (1987) 411-422) for autonomous…

动力系统 · 数学 2013-03-08 Zhanyuan Hou

In this paper, we study asymptotic stability of the zero solution of a class of differential systems governed by a scalar differential inequality with time-varying structures and delays. We establish a new generalized Halanay inequality for…

经典分析与常微分方程 · 数学 2014-03-18 Bao Liu , Wenlian Lu , Tianping Chen