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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

Contraction metrics are crucial in control theory because they provide a powerful framework for analyzing stability, robustness, and convergence of various dynamical systems. However, identifying these metrics for complex nonlinear systems…

Optimization and Control · Mathematics 2025-04-25 Haoyu Li , Xiangru Zhong , Bin Hu , Huan Zhang

Recent developments in data-driven control have revived interest in the behavioral approach to systems theory, where systems are defined as sets of trajectories rather than being described by a specific model or representation. However,…

Optimization and Control · Mathematics 2026-04-08 L. P. Wieringa , A. Padoan , F. Dorfler , J. Eising

We consider the problem of automatically synthesizing a hybrid controller for non-linear dynamical systems which ensures that the closed-loop fulfills an arbitrary \emph{Linear Temporal Logic} specification. Moreover, the specification may…

Systems and Control · Electrical Eng. & Systems 2024-01-22 Satya Prakash Nayak , Lucas Neves Egidio , Matteo Della Rossa , Anne-Kathrin Schmuck , Raphaël Jungers

We propose a new method for pure-state and subspace preparation in quantum systems, which employs the output of a continuous measurement process and switching dissipative control to improve convergence speed, as well as robustness with…

Quantum Physics · Physics 2024-06-24 Tommaso Grigoletto , Francesco Ticozzi

This paper focuses on the spacecraft attitude control problem with intermittent actuator activation, taking into account the attitude rotation rate limitation and input saturation issue simultaneously. To address this problem, we first…

Systems and Control · Electrical Eng. & Systems 2023-06-01 Jiakun Lei , Tao Meng , Kun Wang , Weijia Wang , Shujian Sun

This paper deals with the finite-time stabilization of a class of nonlinear infinite-dimensional systems. First, we consider a bounded matched perturbation in its linear form. It is shown that by using a set-valued function, both the…

Systems and Control · Electrical Eng. & Systems 2025-09-03 Kamal Fenza , Moussa Labbadi , Mohamed Ouzahra

This paper is concerned with the design of an augmented state feedback controller for finite-dimensional linear systems with nonlinear observation dynamics. Most of the theoretical results in the area of (optimal) feedback design are based…

Systems and Control · Electrical Eng. & Systems 2019-08-30 Atiye Alaeddini , Kristi A. Morgansen , Mehran Mesbahi

In this paper, we considered a design method of non-linear state feedback controller for input-affine non-linear system taking data losses into account. When data is lost in control system, control input is fixed to constant value or to the…

Systems and Control · Computer Science 2016-05-17 Su-Yong Paek , Jin-Song Ri

We present a novel class of nonlinear controllers that interpolates among differently behaving linear controllers as a case study for recently proposed Linear and Nonlinear System Level Synthesis framework. The structure of the nonlinear…

Systems and Control · Electrical Eng. & Systems 2020-06-24 Jing Yu , Dimitar Ho

This work proposes a control law for a manipulator with the aim of realizing desired time-varying motion-force profiles in the presence of a stiff environment. In many cases, the interaction with the environment affects only one degree of…

Robotics · Computer Science 2015-03-03 D. J. F. Heck , A. Saccon , N. van de Wouw , H. Nijmeijer

This paper presents a safety-critical reinforcement learning framework for nonlinear dynamical systems with continuous state and input spaces operating under explicit physical constraints. Hard safety constraints are enforced independently…

Systems and Control · Electrical Eng. & Systems 2026-02-05 Hossein Rastgoftar

This paper develops a sliding mode control based frame work for equality constrained optimization by reformulation the first order Karush Kuhn Tucker conditions as control affine dynamical system. The optimization variables are treated as…

Optimization and Control · Mathematics 2026-05-01 Shyam Kamal , Baby Diana , Sunidhi Pandey , Sandip Ghosh , Thach Ngoc Dinh

We consider a nonlinear discrete stochastic control system, and our goal is to design a feedback control policy in order to lead the system to a prespecified state. We adopt a stochastic approximation viewpoint of this problem. It is known…

Optimization and Control · Mathematics 2025-09-03 Hoang Huy Nguyen , Siva Theja Maguluri

Incremental stability is a property of dynamical and control systems, requiring the uniform asymptotic stability of every trajectory, rather than that of an equilibrium point or a particular time-varying trajectory. Similarly to stability,…

Optimization and Control · Mathematics 2012-07-03 Majid Zamani , Nathan van de Wouw , Rupak Majumdar

This paper considers the backstepping state feedback control of coupled linear parabolic PDEs with spatially varying coefficients and bilateral actuation. By making use of the folding technique, a system representation with unilateral…

Optimization and Control · Mathematics 2021-04-13 Simon Kerschbaum , Joachim Deutscher

Results on the problem of stabilizing a nonlinear continuous-time system by a finite number of control or measurement values are presented. The basic tool is a discontinuous version of the so-called semi-global backstepping lemma. We derive…

Optimization and Control · Mathematics 2010-04-13 C. De Persis

We address the problem of robust safety control design for double integrator systems. We show that, when the constraints are defined only on position states, it is possible to construct a safe sliding domain from the dynamic of a simple…

Systems and Control · Electrical Eng. & Systems 2025-09-18 Marco A. Gomez , Christopher D. Cruz-Ancona

A controller synthesis method for state- and input-constrained nonlinear systems is presented that seeks continuous piecewise affine (CPA) Lyapunov-like functions and controllers simultaneously. Non-convex optimization problems are…

Systems and Control · Electrical Eng. & Systems 2022-03-08 Reza Lavaei , Leila Bridgeman

A ship steering control is designed for a nonlinear maneuvering model whose rudder manipulation is constrained in both magnitude and rate. In our method, the tracking problem of the target heading angle with input constraints is converted…

Systems and Control · Electrical Eng. & Systems 2023-10-26 Rin Suyama , Satoshi Satoh , Atsuo Maki