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This paper presents new results on robust positively invariant (RPI) sets for linear discrete-time systems with additive disturbances. In particular, we study how RPI sets change with scaling of the disturbance set. More precisely, we show…

Optimization and Control · Mathematics 2016-06-06 Moritz Schulze Darup , Rainer Manuel Schaich , Mark Cannon

This paper addresses the qualitative theory of mixed-order positive linear coupled systems with bounded or unbounded delays. First, we introduce a general result on the existence and uniqueness of solutions to mixed-order linear coupled…

Classical Analysis and ODEs · Mathematics 2023-08-15 H. T. Tuan , L. V. Thinh

This paper is concerned with the problem of robust stabilization for a class of uncertain 2D discrete switched systems with state delays represented by a model of Roesser type, where the switching instants of the controller experience…

Dynamical Systems · Mathematics 2012-07-10 Shipei Huang , Zhengrong Xiang

Given a max-plus linear system and a semimodule, the problem of computing the maximal controlled invariant subsemimodule is still open to this day. In this paper, we consider this problem for the specific class of fully actuated systems and…

Optimization and Control · Mathematics 2026-02-10 Davide Zorzenon , Jörg Raisch

We propose the use of controlled perturbations to address the challenging question of optimal active-set prediction for interior point methods. Namely, in the context of linear programming, we consider perturbing the inequality…

Optimization and Control · Mathematics 2016-02-18 Coralia Cartis , Yiming Yan

Delayed feedback control is an easy realizable control method which generates control force by comparing the current and the delayed version of the system states. In this paper, a new form of the delayed feedback structure is introduced.…

Systems and Control · Computer Science 2019-02-08 Zahed Dastan , Mahsan Tavakoli-Kakhki

Collaboration between interconnected cyber-physical systems is becoming increasingly pervasive. Time-delays in communication channels between such systems are known to induce catastrophic failure modes, like high frequency oscillations in…

Systems and Control · Electrical Eng. & Systems 2021-09-23 Shankar A. Deka , Donggun Lee , Claire J. Tomlin

This paper studies regulated state synchronization of discrete-time homogeneous networks of non-introspective agents in presence of unknown non-uniform input delays. A scale free protocol is designed based on additional information…

Systems and Control · Electrical Eng. & Systems 2020-02-25 Zhenwei Liu , Donya Nojavanzadeh , Dmitri Saberi , Ali Saberi , Anton A. Stoorvogel

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…

Optimization and Control · Mathematics 2021-07-29 Juan G. Rueda-Escobedo , Emilia Fridman , Johannes Schiffer

We present the linear-stability analysis of synchronised states in coupled time-delay systems. There exists a synchronisation threshold, for which we derive upper bounds, which does not depend on the delay time. We prove that at least for…

chao-dyn · Physics 2009-10-31 Martin J. Bünner , Wolfram Just

We investigate the transient times for the onset of control of steady states by time-delayed feedback. The optimization of control by minimising the transient time before control becomes effective is discussed analytically and numerically,…

Adaptation and Self-Organizing Systems · Physics 2009-12-10 Robert C. Hinz , Philipp Hövel , Eckehard Schöll

This paper proposes methods to handle the problem of delay range stability analysis for a linear coupled differential-difference system (CDDS) with distributed delays subject to dissipative constraints. The model of linear CDDS contains…

Systems and Control · Computer Science 2018-06-21 Qian Feng , Sing Kiong Nguang

This paper presents a distributed learning model predictive control (DLMPC) scheme for distributed linear time invariant systems with coupled dynamics and state constraints. The proposed solution method is based on an online distributed…

Systems and Control · Electrical Eng. & Systems 2020-06-25 Yvonne R. Stürz , Edward L. Zhu , Ugo Rosolia , Karl H. Johansson , Francesco Borrelli

Time delay based control, recently proposed for non-collocated fourth-order systems, has several advantages over an observer-based state-feedback compensation of the low-damped oscillations in output. In this paper, we discuss a practical…

Systems and Control · Electrical Eng. & Systems 2024-04-23 Michael Ruderman

This paper deals with a unifying approach to the problems of computing the admissible sets of parametrical multi perturbations in appropriate bounded sets such that some fundamental properties of parameter-varying linear dynamic systems are…

Optimization and Control · Mathematics 2008-03-28 M. De la Sen

This paper introduces a novel recursive distributed estimation algorithm aimed at synthesizing input and state interval observers for nonlinear bounded-error discrete-time multi-agent systems. The considered systems have sensors and…

Systems and Control · Electrical Eng. & Systems 2024-09-21 Mohammad Khajenejad , Scott Brown , Sonia Martinez

In this paper we consider distributed adaptive stabilization for uncertain multivariable linear systems with a time-varying diagonal matrix gain. We show that uncertain multivariable linear systems are stabilizable by diagonal matrix high…

Systems and Control · Electrical Eng. & Systems 2021-05-31 Zhiyong Sun , Anders Rantzer , Zhongkui Li , Anders Robertsson

This study focuses on event-triggered control of nonlinear discrete-time systems with time delays. Based on a Lyapunov-Krasovskii type input-to-state stability result, we propose a novel event-triggered control algorithm that works as…

Optimization and Control · Mathematics 2022-12-16 Kexue Zhang , Elena Braverman , Bahman Gharesifard

Precision contouring control is crucial in industrial machining processes, particularly for applications such as laser and water jet cutting, where contouring accuracy directly determines product quality. This paper presents a novel control…

Systems and Control · Electrical Eng. & Systems 2026-04-14 Meng Yuan , Tianyou Chai

In this paper, we study the well-posedness and approximate controllability of a class of network systems having delays and controls at the boundary conditions. The particularity of this work is that the network system is defined on infinite…

Optimization and Control · Mathematics 2022-08-24 Y. El Gantouh , S. Hadd , A. Rhandi