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Related papers: Exactly realizable desired trajectories

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Output reference tracking of unknown nonlinear systems is considered. The control objective is exact tracking in predefined finite time, while in the transient phase the tracking error evolves within a prescribed boundary. To achieve this,…

Optimization and Control · Mathematics 2024-08-29 Lukas Lanza

In recent years, Neural Networks (NNs) have been employed to control nonlinear systems due to their potential capability in dealing with situations that might be difficult for conventional nonlinear control schemes. However, to the best of…

Optimization and Control · Mathematics 2025-02-04 Anran Li , John P. Swensen , Mehdi Hosseinzadeh

In this paper we provide an optimal control based strategy to explore feasible trajectories of nonlinear systems, that is to find curves that satisfy the dynamics as well as point-wise state-input constraints. The strategy is interesting…

Optimization and Control · Mathematics 2011-12-06 Giuseppe Notarstefano , John Hauser

In this paper we address the problem of tracking control of nonlinear systems via contraction analysis. The necessary conditions of the systems which can achieve universal asymptotic tracking are studied under several different cases. We…

Systems and Control · Electrical Eng. & Systems 2020-11-17 Bowen Yi , Ruigang Wang , Ian R. Manchester

Sufficient and necessary conditions are established for controllability of affine control systems where the control is constrained to a set whose convex hull contains the origin but is not necessarily, in contrast with previously known…

Optimization and Control · Mathematics 2025-12-10 Jean-Baptiste Caillau , Lamberto Dell'Elce , Alesia Herasimenka , Jean-Baptiste Pomet

The problem of inverting a system in presence of a series-defined output is analyzed. Inverse models are derived that consist of a set of algebraic equations. The inversion is performed explicitly for an output trajectory functional, which…

Systems and Control · Computer Science 2012-11-27 Jean-Francois Stumper , Ralph Kennel

We present a novel data-driven model predictive control (MPC) approach to control unknown nonlinear systems using only measured input-output data with closed-loop stability guarantees. Our scheme relies on the data-driven system…

Optimization and Control · Mathematics 2022-09-20 Julian Berberich , Johannes Köhler , Matthias A. Müller , Frank Allgöwer

In this paper, we study the concept of approximate controllability of retarded network systems of neutral type. On one hand, we reformulate such systems as free-delay boundary control systems on product spaces. On the other hand, we use the…

Optimization and Control · Mathematics 2021-01-14 Yassine El Gantouh , Said Hadd

We propose an abstract framework for solving the constrained set-point tracking problem for impedance passive infinite-dimensional nonlinear systems. The class of systems considered is governed by monotone differential inclusions and allows…

Optimization and Control · Mathematics 2025-06-18 Nicolas Vanspranghe , Pietro Lorenzetti , Lassi Paunonen , George Weiss

In this paper an approximation of the set of multivariable and $L_2$ integrable trajectories of the control system described by Urysohn type integral equation is considered. It is assumed that the system is affine with respect to the…

Optimization and Control · Mathematics 2021-10-15 Nesir Huseyin , Anar Huseyin , Khalik G. Guseinov

In this paper, problems of optimal control are considered where in the objective function, in addition to the control cost there is a tracking term that measures the distance to a desired stationary state. The tracking term is given by some…

Optimization and Control · Mathematics 2020-06-15 Martin Gugat , Michael Schuster , Enrique Zuazua

This paper investigates observability/controllability of a networked dynamic system (NDS) in which system matrices of its subsystems are expressed through linear fractional transformations (LFT). Some relations have been obtained between…

Systems and Control · Electrical Eng. & Systems 2024-10-30 Tong Zhou , Yuyu Zhou

Nonlinear control-affine systems with time-varying vector fields are considered in the paper. We propose a unified control design scheme with oscillating inputs for solving the trajectory tracking and stabilization problems. This…

Optimization and Control · Mathematics 2023-10-31 Victoria Grushkovskaya , Alexander Zuyev

Research on control using models based on machine-learning methods has now shifted to the practical engineering stage. Achieving high performance and theoretically guaranteeing the safety of the system is critical for such applications. In…

Systems and Control · Electrical Eng. & Systems 2025-01-28 Ryuta Moriyasu , Masayuki Kusunoki , Kenji Kashima

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

The problem of tracking an arbitrary curve in the state space is considered for underactuated driftless control-affine systems. This problem is formulated as the stabilization of a time-varying family of sets associated with a neighborhood…

Optimization and Control · Mathematics 2019-08-19 Victoria Grushkovskaya , Alexander Zuyev

This paper studies controllability of a discrete-time linear dynamical system using nonnegative and sparse inputs. These constraints on the control input arise naturally in many real-life systems where the external influence on the system…

Systems and Control · Electrical Eng. & Systems 2020-04-24 Geethu Joseph

Affine connection control systems are mechanical control systems that model a wide range of real systems such as robotic legs, hovercrafts, planar rigid bodies, rolling pennies, snakeboards and so on. In 1997 the accessibility and a…

Optimization and Control · Mathematics 2011-09-22 María Barbero-Liñán

Positive linear systems on arbitrary time scales are studied. The theory developed in the paper unifies and extends concepts and results known for continuous-time and discrete-time systems. A necessary and sufficient condition for a linear…

Optimization and Control · Mathematics 2012-04-17 Zbigniew Bartosiewicz

This paper considers the tracking control problem for an unknown nonlinear system with time-varying bounded disturbance subjected to a prescribed performance and input constraints. When performance and input constraints are specified…

Systems and Control · Electrical Eng. & Systems 2022-10-13 Pankaj K Mishra , Pushpak Jagtap