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We consider the problem of designing a feedback controller which robustly regulates an LTI system to an optimal operating point in the presence of unmeasured disturbances. A general design framework based on so-called optimality models was…

Optimization and Control · Mathematics 2022-08-18 John W. Simpson-Porco

In this paper, adaptive set-point regulation controllers for discrete-time nonlinear systems are constructed. The system to be controlled is assumed to have a parametric uncertainty, and an excitation signal is used in order to obtain the…

Optimization and Control · Mathematics 2015-05-25 Shigeru Hanba

A robust controller is developed for uncertain, second-order nonlinear systems subject to simultaneous unknown, time-varying state delays and known, time-varying input delays in addition to additive, sufficiently smooth disturbances. An…

Systems and Control · Computer Science 2017-07-25 Rushikesh Kamalapurkar , Nicholas Fischer , Serhat Obuz , Warren E. Dixon

This paper deals with mathematical models of continuous crystallization described by hyperbolic systems of partial differential equations coupled with ordinary and integro-differential equations. The considered systems admit nonzero…

Optimization and Control · Mathematics 2022-01-19 Alexander Zuyev , Peter Benner

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…

Dynamical Systems · Mathematics 2025-05-01 Bin Zhou , Kai Zhang

Copositive linear Lyapunov functions are used along with dissipativity theory for stability analysis and control of uncertain linear positive systems. Unlike usual results on linear systems, linear supply-rates are employed here for…

Systems and Control · Computer Science 2012-06-05 Corentin Briat

In this paper, we study the stability problem of a stochastic, nonlinear, discrete-time system. We introduce a linear transfer operator-based Lyapunov measure as a new tool for stability verification of stochastic systems. Weaker…

Dynamical Systems · Mathematics 2017-02-20 Umesh Vaidya

In this paper, we prove the exponential stability property of a class of mechanical systems represented in the port-Hamiltonian framework. To this end, we propose a Lyapunov candidate function different from the Hamiltonian of the system.…

Systems and Control · Electrical Eng. & Systems 2021-10-25 Carmen Chan-Zheng , Pablo Borja , Nima Monshizadeh , Jacquelien M. A. Scherpen

In this short paper, we point out that a single local stability controller can pin the complex network to a specified solution (or its equilibrium) of the coupled complex network. A rigorous mathematical proof is given, too.

Mathematical Physics · Physics 2007-05-23 Tianping Chen , Xiwei Liu

A quantum system whose internal Hamiltonian is not strongly regular or/and control Hamiltonians are not full connected, are thought to be in the degenerate cases. In this paper, convergence problems of the multi-control Hamiltonians closed…

Systems and Control · Computer Science 2014-08-20 Shuang Cong , Fangfang Meng , Jianxiu Liu

We study the problem of distributed control of large-scale robotic swarms which can be modeled as continuum densities evolving under the continuity equation. We propose a formalization of distributed controllers as (generally nonlinear)…

Systems and Control · Electrical Eng. & Systems 2026-05-01 Max Emerick , Saroj Prasad Chhatoi , Bassam Bamieh

In this paper, we propose a novel formation controller for nonholonomic agents to form general parametric curves. First, we derive a unified parametric representation for both open and closed curves. Then, a leader-follower formation…

Multiagent Systems · Computer Science 2023-10-12 Bin Zhang , Hui Zhi , Jose Guadalupe Romero , David Navarro-Alarcon

In this work, we introduce a novel data-driven model-reference control design approach for unknown linear systems with fully measurable state. The proposed control action is composed by a static feedback term and a reference tracking block,…

Systems and Control · Electrical Eng. & Systems 2021-09-29 Valentina Breschi , Claudio De Persis , Simone Formentin , Pietro Tesi

We consider the problem of stabilizing voltages in DC microGrids (mGs) given by the interconnection of Distributed Generation Units (DGUs), power lines and loads. We propose a decentralized control architecture where the primary controller…

Systems and Control · Computer Science 2017-04-25 Michele Tucci , Stefano Riverso , Giancarlo Ferrari-Trecate

This paper discusses the stabilizability, weak stabilizability, exact observability and robust quadratic stabilizability of linear stochastic control systems. By means of the spectrum technique of the generalized Lyapunov operator, a…

Optimization and Control · Mathematics 2023-07-19 Weihai Zhang , Bor-Sen Chen

The design of robust controllers for triple inverted pendulum systems presents significant challenges due to their inherent instability and nonlinear dynamics. Furthermore, uncertainties in system parameters further complicate the control…

Systems and Control · Electrical Eng. & Systems 2025-12-08 Tohid Kargar Tasooji , Sakineh Khodadadi

This brief gives a set of unified Lyapunov stability conditions to guarantee the predefined-time/finite-time stability of a dynamical systems. The derived Lyapunov theorem for autonomous systems establishes equivalence with existing…

Systems and Control · Electrical Eng. & Systems 2024-04-02 Bing Xiao , Haichao Zhang , Shijie Zhao , Lu Cao

This paper presents a stabilizing tube-based MPC synthesis for LPV systems. We employ terminal constraint sets which are required to be controlled periodically contractive. Periodically (or finite-step) contractive sets are easier to…

Systems and Control · Computer Science 2017-06-27 Jurre Hanema , Mircea Lazar , Roland Tóth

Tikhonov regularization is one of the most commonly used methods of regularization of ill-posed problems. In the setting of finite element solutions of elliptic partial differential control problems, Tikhonov regularization amounts to…

Numerical Analysis · Mathematics 2016-09-19 Erik Burman , Peter Hansbo , Mats Larson

In this paper, we propose a novel safety-critical control framework for a chain of integrators subject to both matched and mismatched perturbations. The core of our approach is a linear, time-varying state-feedback design that…

Systems and Control · Electrical Eng. & Systems 2025-10-01 Imtiaz Ur Rehman Moussa Labbadi , Amine Abadi , Lew Lew Yan Voon
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