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This paper introduces a novel stabilization control strategy for linear time-invariant systems affected by known time-varying measurement delays and matched unknown nonlinear disturbances, which may encompass actuator faults. It is…

Optimization and Control · Mathematics 2025-07-30 Hardy Pinto , Tiago Roux Oliveira , Liu Hsu

We study model predictive control for singular differential-algebraic equations with higher index. This is a novelty when compared to the literature where only regular differential-algebraic equations with additional assumptions on the…

Optimization and Control · Mathematics 2022-02-08 Achim Ilchmann , Jonas Witschel , Karl Worthmann

Linear dynamical systems are canonical models for learning-based control of plants with uncertain dynamics. The setting consists of a stochastic differential equation that captures the state evolution of the plant understudy, while the true…

Systems and Control · Electrical Eng. & Systems 2022-01-03 Mohamad Kazem Shirani Faradonbeh , Mohamad Sadegh Shirani Faradonbeh

Predictor-based stabilization results are provided for nonlinear systems with input delays and a compact absorbing set. The control scheme consists of an inter-sample predictor, a global observer, an approximate predictor, and a nominal…

Optimization and Control · Mathematics 2013-06-17 Iasson Karafyllis , Miroslav Krstic , Tarek Ahmed-Ali , Francoise Lamnabhi-Lagarrigue

The stabilization of unstable nonlinear systems and tracking control are challenging engineering problems due to the encompassed nonlinearities in dynamic systems and their scale. In the past decades, numerous observer-based control designs…

Systems and Control · Electrical Eng. & Systems 2021-04-22 Sebastian A. Nugroho , Suyash C. Vishnoi , Ahmad F. Taha , Christian G. Claudel

Immersion and Invariance is a technique for the design of stabilizing and adaptive controllers and state observers for nonlinear systems. In all these applications the problem considered is the stabilization of equilibrium points. Motivated…

Systems and Control · Computer Science 2019-12-03 Romeo Ortega , Bowen Yi , Jose Guadalupe Romero , Alessandro Astolfi

This paper studies the stabilization for a kind of linear and impulse control systems in finite-dimensional spaces, where impulse instants appear periodically. We present several characterizations on the stabilization; show how to design…

Optimization and Control · Mathematics 2019-07-11 Shulin Qin , Gengsheng Wang , Huaiqiang Yu

The stability analysis of model predictive control schemes without terminal constraints and/or costs has attracted considerable attention during the last years. We pursue a recently proposed approach which can be used to determine a…

Optimization and Control · Mathematics 2014-01-16 Philipp Braun , Jürgen Pannek , Karl Worthmann

Sufficient conditions for global stabilization of nonlinear systems with delayed input by means of approximate predictors are presented. An approximate predictor is a mapping which approximates the exact values of the stabilizing input for…

Optimization and Control · Mathematics 2009-10-21 Iasson Karafyllis

Limitations of the delayed feedback control and of its extended versions have been fully treated in the literature. The oscillating delayed feedback control appears as a promising scheme to overcome this problem. In this work, two methods…

Dynamical Systems · Mathematics 2018-05-25 Verónica E. Pastor , Graciela González

Based on our studies done on two-dimensional autonomous systems, forced non-autonomous systems and time-delayed systems, we propose a unified methodology - that uses renormalization group theory - for finding out existence of periodic…

Chaotic Dynamics · Physics 2015-05-19 Amartya Sarkar , J. K. Bhattacharjee , Sagar Chakraborty , Dhruba Banerjee

In this article, we focus on the global stabilizability problem for a class of second order uncertain stochastic control systems, where both the drift term and the diffusion term are nonlinear functions of the state variables and the…

Systems and Control · Electrical Eng. & Systems 2022-05-11 Cheng Zhao , Yanbin Zhang

Two different controlling methods are proposed to stabilize unstable continuous-sliding states of a dry-friction oscillator. Both methods are based on a delayed-feedback mechanism well-known for stabilizing periodic orbits in deterministic…

chao-dyn · Physics 2009-10-30 Franz-Josef Elmer

Learning-based control of linear systems received a lot of attentions recently. In popular settings, the true dynamical models are unknown to the decision-maker and need to be interactively learned by applying control inputs to the systems.…

Systems and Control · Electrical Eng. & Systems 2022-01-06 Mohamad Kazem Shirani Faradonbeh , Aditya Modi

An alternative numerical method is developed to find stable and unstable periodic orbits of nonlinear dynamical systems. The method exploits the high-efficiency of the Levenberg-Marquardt algorithm for medium-sized problems and has the…

Chaotic Dynamics · Physics 2014-11-17 W. Dednam , A. E. Botha

This paper addresses the problems of stabilization, robust control, and observer design for nonlinear systems. We build upon recently a proposed method based on contraction theory and convex optimization, extending the class of systems to…

Optimization and Control · Mathematics 2014-09-29 Ian R. Manchester , Jean-Jacques E. Slotine

We propose a convex optimization procedure for black-box identification of nonlinear state-space models for systems that exhibit stable limit cycles (unforced periodic solutions). It extends the "robust identification error" framework in…

Optimization and Control · Mathematics 2013-03-21 Ian R. Manchester , Mark M. Tobenkin , Jennifer Wang

In this paper we propose an algorithm for stabilizing circular formations of fixed-wing UAVs with constant speeds. The algorithm is based on the idea of tracking circles with different radii in order to control the inter-vehicle phases with…

Robotics · Computer Science 2017-03-23 Hector Garcia de Marina , Zhiyong Sun , Murat Bronz , Gautier Hattenberger

We provide a constructive method designed in order to control the stability of a given periodic orbit of a general completely integrable system. The method consists of a specific type of perturbation, such that the resulting perturbed…

Dynamical Systems · Mathematics 2015-03-04 Razvan M. Tudoran

Non-local continuity equation describes an infinite system of identical particles, which interact with each other through the common field. Solution of this equation is a probability measure that stands for spatial distribution of…

Dynamical Systems · Mathematics 2025-04-09 Aleksei Volkov