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Systems of differential equations with state-dependent delay are considered. The delay dynamically depends on the state i.e. is governed by an additional differential equation. By applying the time transformations we arrive to constant…

经典分析与常微分方程 · 数学 2017-06-29 A. V. Rezounenko

The increasing ease of obtaining and processing data together with the growth in system complexity has sparked the interest in moving from conventional model-based control design towards data-driven concepts. Since in many engineering…

最优化与控制 · 数学 2021-07-29 Juan G. Rueda-Escobedo , Emilia Fridman , Johannes Schiffer

In this study, we investigate the effectiveness of using the PID (Proportional - Integral - Derivative) control loop factors for modifying response thresholds in a decentralized, non-communicating, threshold-based swarm. Each agent in our…

多智能体系统 · 计算机科学 2023-04-26 Maryam Kebari , Annie S. Wu , H. David Mathias

We analyze a classification of two main families of controllers that are of interest when the feedback loop is subject to switching propagation delays due to routing via a wireless multi-hop communication network. We show that we can cast…

最优化与控制 · 数学 2012-07-24 Raphael M. Jungers , Alessandro D'Innocenzo , Maria D. Di Benedetto

In this paper a new optimum tuning method of PI controllers in first-order time-delay systems, based on the deadbeat response to a step setpoint variation, is presented. The deadbeat performance, already studied for the plants without…

最优化与控制 · 数学 2007-05-23 Gianpasquale Martelli

We consider a robust stabilization of the fourth-order oscillatory systems with non-collocated output sensing. Worth recalling is that the fourth-order systems are relatively common in mechatronics as soon as there are two-mass or more…

系统与控制 · 电气工程与系统科学 2023-06-13 Michael Ruderman

In this paper, we present the first general solution to the automatic reconfiguration problem of timed discrete-event systems. We extend the recursive forcible backtracking approach which had been already solved the automatic…

系统与控制 · 电气工程与系统科学 2022-10-05 Matin Macktoobian

In this paper, a delay compensation design method based on PDE backstepping is developed for a two-dimensional reaction-diffusion partial differential equation (PDE) with bilateral input delays. The PDE is defined in a rectangular domain,…

最优化与控制 · 数学 2023-07-10 Dandan Guan , Yanmei Chen , Jie Qi , Linglong Du

This work presents the solution to a class of decentralized linear quadratic state-feedback control problems, in which the plant and controller must satisfy the same combination of delay and sparsity constraints. Using a novel decomposition…

系统与控制 · 计算机科学 2014-11-25 Andrew Lamperski , Laurent Lessard

By developing new efficient techniques and using an appropriate fixed point theorem, we derive several new sufficient conditions for the pseudo almost periodic solutions with double measure for some system of differential equations with…

偏微分方程分析 · 数学 2020-03-11 Mohsen Miraoui , Dušan D. Repovš

This paper considers the problem of identifying the parameters of an uncertain linear system by means of feedback control. The problem is approached by considering time-varying controllers. It is shown that even when the uncertainty set is…

系统与控制 · 计算机科学 2015-04-17 G. Battistelli , P. Tesi

We solve the global asymptotic stability problem of an unstable reaction-diffusion Partial Differential Equation (PDE) subject to input delay and state quantization developing a switched predictor-feedback law. To deal with the input delay,…

系统与控制 · 电气工程与系统科学 2025-01-28 Florent Koudohode , Nikolaos Bekiaris-Liberis

This paper presents a PID tuning method based on step response curve fitting (PID-SRCF) that utilizes L2-norm minimization for precise reference tracking and explicit transient response shaping. The algorithm optimizes controller parameters…

系统与控制 · 电气工程与系统科学 2026-05-21 Senol Gulgonul

We develop a novel multi-layer predictor-feedback to achieve exact compensation of state-dependent input delay of general nonlinear integro-differential equations. The system of interest is an unconventional mixed Partial Differential…

最优化与控制 · 数学 2026-04-09 Tong Li , Peipei Shang , Mamadou Diagne

Feedback control in open quantum dynamics is crucial for the advancement of various coherent platforms. However, currently only a handful of feedback master equations exist in the literature, which are restricted to specific types of…

量子物理 · 物理学 2025-12-10 Alberto J. B. Rosal , Patrick P. Potts , Gabriel T. Landi

This work proposes a new procedure for the stabilization of time-delay systems using Static Output Feedback (SOF) control. A previous convex optimization approach to SOF for Ordinary Differential Equations (ODEs) is extended to time-delay…

最优化与控制 · 数学 2026-05-19 Danilo Braghini , Eduardo S. Tognetti , Matthew M. Peet

This paper addresses the stabilization of linear systems with multiple time-varying input delays. In scenarios where neither the exact delays information nor their bound is known, we propose a class of linear time-varying state feedback…

动力系统 · 数学 2025-05-01 Bin Zhou , Kai Zhang

In this paper, we first propose a method that can efficiently compute the maximal robust controlled invariant set for discrete-time linear systems with pure delay in input. The key to this method is to construct an auxiliary linear system…

系统与控制 · 电气工程与系统科学 2020-06-19 Zexiang Liu , Liren Yang , Necmiye Ozay

We describe a method to model nonlinear dynamical systems using periodic solutions of delay-differential equations. We show that any finite-time trajectory of a nonlinear dynamical system can be loaded approximately into the initial…

适应与自组织系统 · 物理学 2007-05-23 Alexander N. Jourjine

This paper discusses the in-domain feedback stabilization of reaction-diffusion PDEs with Robin boundary conditions in the presence of an uncertain time- and spatially-varying delay in the distributed actuation. The proposed control design…

最优化与控制 · 数学 2021-08-18 Hugo Lhachemi , Christophe Prieur , Robert Shorten