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In the present work, sufficient conditions for global stabilization of nonlinear uncertain systems by means of discrete-delay static output feedback are presented. Illustrating examples show the efficiency of the proposed control strategy.

Optimization and Control · Mathematics 2008-02-29 Iasson Karafyllis

We develop a predictor-feedback control design for a class of linear systems with state-dependent switching. The main ingredient of our design is a novel construction of an exact predictor state. Such a construction is possible as for a…

Systems and Control · Electrical Eng. & Systems 2026-03-23 Andreas Katsanikakis , Nikolaos Bekiaris-Liberis , Delphine Bresch-Pietri

Recent development of contraction theory based analysis of singularly perturbed system has opened the door for inspecting differential behavior of multi time-scale systems. In this paper a contraction theory based framework is proposed for…

Systems and Control · Computer Science 2015-12-04 Madan Mohan Rayguru , I N Kar

Recently developed control methods with strong disturbance rejection capabilities provide a useful option for control design. The key lies in a general concept of disturbance and effective ways to estimate and compensate the disturbance.…

Optimization and Control · Mathematics 2018-01-19 Wuhua Hu , Eduardo F. Camacho , Lihua Xie

We consider third-order dynamic systems which have an integral feedback action and discontinuous relay disturbance. More specifically for the applications, the focus is on the integral plus state-feedback control of the motion systems with…

Optimization and Control · Mathematics 2025-02-18 Michael Ruderman

Much recent progress has been achieved for stabilization of linear and nonlinear systems with input delays that are long and dependent on either time or the plant state---provided the dependence is known. In this paper we consider the delay…

Optimization and Control · Mathematics 2012-09-11 Nikolaos Bekiaris-Liberis , Miroslav Krstic

Exponential stabilizability of the incompressible Navier-Stokes equations under dynamic slip boundary conditions toward arbitrary time-dependent trajectories is proven. The feedback control law is constructed explicitly using oblique…

Analysis of PDEs · Mathematics 2026-02-12 Buddhika Priyasad , Sérgio S. Rodrigues

Feedback control systems using sensors and actuators such as piezoelectric sensors and actuators, micro-electro-mechanical systems (MEMS) sensors and opto-mechanical sensors, are allowing new advances in designing such high precision…

Optimization and Control · Mathematics 2016-12-12 Ahmed G. Ghallab , Mohamed A. Mabrok , Ian R. Petersen

Standard geometric control relies on force-moment decoupling, an assumption that breaks down in many aerial platforms due to spurious forces naturally induced by control moments. While strategies for such coupled systems have been validated…

Robotics · Computer Science 2026-02-20 Simone Orelli , Mirko Mizzoni , Antonio Franchi

Hyperbolic systems in one dimensional space are frequently used in modeling of many physical systems. In our recent works, we introduced time independent feedbacks leading to the finite stabilization for the optimal time of homogeneous…

Optimization and Control · Mathematics 2020-07-09 Jean-Michel Coron , Hoai-Minh Nguyen

This paper develops a robust safety-critical control method for nonlinear strictfeedback systems with mismatched disturbances. Using a state transformation and a linear time-varying disturbance observer, the system is converted into a form…

Systems and Control · Electrical Eng. & Systems 2025-12-24 Imtiaz Ur Rehman , Moussa Labbadi , Amine Abadi , Lew Lew Yan Voon

In this paper we provide a complete link between dissipation theory and a celebrated result on stability analysis with integral quadratic constraints. This is achieved with a new stability characterization for feedback interconnections…

Optimization and Control · Mathematics 2018-03-16 Carsten W. Scherer , Joost Veenman

This paper studies the rapid stabilization of a multidimensional heat equation in the presence of an unknown spatially localized disturbance. A novel multivalued feedback control strategy is proposed, which synthesizes the frequency…

Systems and Control · Electrical Eng. & Systems 2025-12-23 Patricio Guzmán , Hugo Parada , Christian Calle-Cárdenas

We study convergence and stability properties of control-affine systems. Our considerations are motivated by the problem of stabilizing a control-affine system by means of output feedback for states in which the output function attains an…

Dynamical Systems · Mathematics 2018-06-12 Raik Suttner

Robust control design is mainly devoted to guarantee closed-loop stability of a model-based control law in presence of parametric and structural uncertainties. The control law is usually a complex feedback law which is derived from a…

Systems and Control · Computer Science 2011-08-12 Enrico Canuto , Wilber Acuna-Bravo , Andrés Molano-Jimenez , José Ospina , Carlos Perez-Montenegro

Feedback optimization refers to a class of methods that steer a control system to a steady state that solves an optimization problem. Despite tremendous progress on the topic, an important problem remains open: enforcing state constraints…

Optimization and Control · Mathematics 2026-02-11 Giannis Delimpaltadakis , Pol Mestres , Jorge Cortés , W. P. M. H. Heemels

We consider nonlinear control systems for which there exist some structural obstacles to the design of classical continuous stabilizing feedback laws. More precisely, it is studied systems for which the backstepping tool for the design of…

Optimization and Control · Mathematics 2015-08-12 Humberto Stein Shiromoto , Vincent Andrieu , Christophe Prieur

We address the problem of dynamic output feedback stabilization at an unobservable target point. The challenge lies in according the antagonistic nature of the objective and the properties of the system: the system tends to be less…

Optimization and Control · Mathematics 2022-02-02 Lucas Brivadis , Jean-Paul Gauthier , Ludovic Sacchelli , Ulysse Serres

Reinforcement learning is showing great potentials in robotics applications, including autonomous driving, robot manipulation and locomotion. However, with complex uncertainties in the real-world environment, it is difficult to guarantee…

Machine Learning · Computer Science 2020-07-28 Minghao Han , Yuan Tian , Lixian Zhang , Jun Wang , Wei Pan

This paper deals with the stabilization of a class of linear infinite-dimensional systems with unbounded control operators and subject to a boundary disturbance. We assume that there exists a linear feedback law that makes the origin of the…

Analysis of PDEs · Mathematics 2022-10-26 Ismaïla Balogoun , Swann Marx , Franck Plestan
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