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This paper presents novel controllers that yield finite-time stability for linear systems. We first present a sufficient condition for the origin of a scalar system to be finite-time stable. Then we present novel finite-time controllers…

Dynamical Systems · Mathematics 2021-06-11 Kunal Garg , Dimitra Panagou

In this paper, we present a geometric approach for computing the controlled invariant set of a continuous-time control system. While the problem is well studied for in the ellipsoidal case, this family is quite conservative for constrained…

Optimization and Control · Mathematics 2021-01-19 Benoît Legat , Raphaël M. Jungers

In this paper, we present a geometric approach for computing controlled invariant sets for hybrid control systems. While the problem is well studied in the ellipsoidal case, this family is quite conservative for constrained or switched…

Optimization and Control · Mathematics 2021-12-08 Benoît Legat , Raphaël M. Jungers

Dynamical systems can be used to model a broad class of physical processes, and conservation laws give rise to system properties like passivity or port-Hamiltonian structure. An important problem in practical applications is to steer…

Optimization and Control · Mathematics 2025-10-29 Tobias Breiten , Attila Karsai

Dynamical systems whose linearizations along trajectories are positive in the sense that they infinitesimally contract a smooth cone field are called differentially positive. The property can be thought of as a generalization of…

Dynamical Systems · Mathematics 2018-04-18 Cyrus Mostajeran , Rodolphe Sepulchre

This paper develops an input-output feedback linearization-based adaptive controller to stabilize and regulate a dual-rotor rotational system (DRRS), whose inertial properties as well as the geometric configuration of rotors are unknown.…

Systems and Control · Electrical Eng. & Systems 2025-04-09 Mohammad Mirtaba , Jhon Manuel Portella Delgado , Ankit Goel

This article presents a state feedback control design strategy for the stabilization of a vehicle along a reference collision avoidance maneuver. The stabilization of the vehicle is achieved through a combination of steering, acceleration…

Optimization and Control · Mathematics 2021-02-16 Penco Dario , Davins-Valldaura Joan , Godoy Emmanuel , Kvieska Pedro , Valmorbida Giorgio

Modelling is an essential procedure in analyzing and controlling a given logical dynamic system (LDS). It has been proved that deterministic LDS can be modeled as a linear-like system using algebraic state space representation. However, due…

Optimization and Control · Mathematics 2022-03-04 Changxi Li , Jun-e Feng , Daizhan Cheng , Xiao Zhang

In this article, we completely describe the control sets of one-input linear control systems on solvable, nonnilpotent 3D Lie groups. We show that, if the restriction of the associate derivation to the nilradical is nontrivial, the Lie…

Optimization and Control · Mathematics 2023-10-04 Adriano Da Silva , Lino Grama , Alejandro Otero Robles

This paper presents a novel framework for stabilizing nonlinear systems represented in state-dependent form. We first reformulate the nonlinear dynamics as a state-dependent parameter-varying model and synthesize a stabilizing controller…

Systems and Control · Electrical Eng. & Systems 2025-10-21 Lidong Li , Rui Huang , Lin Zhao

In this work we show that given a nonlinear programming problem, it is possible to construct a family of dynamical systems defined on the feasible set of the given problem, so that: (a) the equilibrium points are the unknown critical points…

Optimization and Control · Mathematics 2012-11-07 Iasson Karafyllis

Linear systems on Lie groups are a natural generalization of linear system on Euclidian spaces. For such systems, this paper studies the properties of the maximal sets of approximate controllability.

Dynamical Systems · Mathematics 2016-02-18 Adriano Da Silva , Victor Ayala , Guilherme Zsigmond

In this paper we propose a methodology for stabilizing single-input single-output feedback linearizable systems when no system model is known and no prior data is available to identify a model. Conceptually, we have been greatly inspired by…

Systems and Control · Electrical Eng. & Systems 2021-03-29 Lucas Fraile , Matteo Marchi , Paulo Tabuada

Synchronization control in arrays of identical output-coupled continuous-time linear systems is studied. Sufficiency of new conditions for the existence of a synchronizing feedback law are analyzed. It is shown that for neutrally stable…

Dynamical Systems · Mathematics 2008-11-24 S. Emre Tuna

This paper tackles state feedback control of switched linear systems under arbitrary switching. We propose a data-driven control framework that allows to compute a stabilizing state feedback using only a finite set of observations of…

Optimization and Control · Mathematics 2022-05-05 Zheming Wang , Guillaume O. Berger , Raphaël M. Jungers

A dynamic backstepping method is proposed to design controllers for nonlinear systems in the pure-feedback form, for which the traditional backstepping method suffers from solving the implicit nonlinear algebraic equation. The idea of this…

Systems and Control · Computer Science 2017-06-28 Sheng Zhang , Wei-qi Qian

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

This paper presents a solution to the rendezvous control problem for a network of kinematic unicycles in the plane, each equipped with an onboard camera measuring its relative displacement with respect to its neighbors in body frame…

Optimization and Control · Mathematics 2016-05-26 Ashton Roza , Manfredi Maggiore , Luca Scardovi

When intelligent spacecraft or space robots perform tasks in a complex environment, the controllable variables are usually not directly available and have to be inferred from high-dimensional observable variables, such as outputs of neural…

Systems and Control · Electrical Eng. & Systems 2024-12-10 Congxi Zhang , Yongchun Xie

Accurate tracking of planned trajectories in the presence of perturbations is an important problem in control and robotics. Symmetry is a fundamental mathematical feature of many dynamical systems and exploiting this property offers the…

Systems and Control · Electrical Eng. & Systems 2023-08-08 Matthew Hampsey , Pieter van Goor , Robert Mahony