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In this paper, we consider the problem of controlling a dynamical system such that its trajectories satisfy a temporal logic property in a given amount of time. We focus on multi-affine systems and specifications given as syntactically…

Systems and Control · Computer Science 2012-03-27 Ebru Aydin Gol , Calin Belta

In this paper, the feasibility of recently developed higher order delayed sliding mode controllers is addressed. With this aim the robustness against the measurement noise and mismatched perturbations for the systems governed by such…

Systems and Control · Electrical Eng. & Systems 2025-12-23 Moussa Labbadi , Denis Efimov , Leonid Fridman

This paper investigates the exact controllability problem for multi-dimensional stochastic first-order symmetric hyperbolic systems with control inputs acting in two distinct ways: an internal control applied to the diffusion term and a…

Optimization and Control · Mathematics 2026-01-27 Zengyu Li , Qi Lü , Yu Wang , Haitian Yang

Entangled atomic states, such as spin squeezed states, represent a promising resource for a new generation of quantum sensors and atomic clocks. We demonstrate that optimal control techniques can be used to substantially enhance the degree…

Quantum Physics · Physics 2016-02-03 T. Pichler , T. Caneva , S. Montangero , M. D. Lukin , T. Calarco

This paper presents a new data-driven control for multi-input, multi-output nonlinear systems with partially unknown dynamics and bounded disturbances. Since exact nonlinearity cancellation is not feasible with unknown disturbances, we…

Systems and Control · Electrical Eng. & Systems 2025-04-08 Jianglin Lan , Xianxian Zhao , Congcong Sun

Conventional sliding mode controllers are based on the assumption of switching control but a well-known drawback of this approach is the chattering phenomenon. To overcome the undesirable chattering effects, the discontinuity in the control…

Optimization and Control · Mathematics 2008-06-05 Wallace Moreira Bessa

This paper studies the stabilization and safety problems of nonlinear time-delay systems. Following both Razumikhin and Krasovskii approaches, we propose novel control Lyapunov functions/functionals for the stabilization problem and novel…

Systems and Control · Electrical Eng. & Systems 2022-06-29 Wei Ren , Raphael M. Jungers , Dimos V. Dimarogonas

This paper deals with the design of robust tracking and model following (RTMF) controller for linear time-invariant (LTI) systems with uncertainties. The controller is based on the second order sliding mode (SOSM) algorithm (super twisting)…

Optimization and Control · Mathematics 2020-07-14 Siddhartha Ganguly , Manas Kumar Bera , Prasanta Roy

In this paper we consider the minimum time population transfer problem for a two level quantum system driven by {\em two} external fields with bounded amplitude. The controls are modeled as real functions and we do not use the Rotating Wave…

Optimization and Control · Mathematics 2012-11-06 Ugo Boscain , Fredrik Grönberg , Long Ruixing , Rabitz Herschel

In the present contribution the sliding mode control (SMC) problem for a phase-field model of Caginalp type is considered. First we prove the well-posedness and some regularity results for the phase-field type state systems modified by the…

Analysis of PDEs · Mathematics 2017-07-11 Viorel Barbu , Pierluigi Colli , Gianni Gilardi , Gabriela Marinoschi , Elisabetta Rocca

In this paper, we propose and demonstrate an adaptive-sliding mode control for trajectory tracking control of robot manipulators subjected to uncertain dynamics, vibration disturbance, and payload variation disturbance. Throughout this work…

Systems and Control · Electrical Eng. & Systems 2024-08-07 Mustafa M. Mustafa , Carl D. Crane , Ibrahim Hamarash

This paper addresses two minimum reaching time control problems within the context of finite stable systems. The well-known Variable Structure Control (VSC) and Unity Vector Control (UVC) strategies are analyzed, with the primary objective…

Systems and Control · Electrical Eng. & Systems 2025-03-10 J. C. Geromel , L. Hsu , E. V. L. Nunes

The paper is concerned with an optimal control problem governed by the rate-independent system of quasi-static perfect elasto-plasticity. The objective is optimize the displacement field in the domain occupied by the body by means of…

Optimization and Control · Mathematics 2020-03-24 Christian Meyer , Stephan Walther

Recent studies have explored finite-time dissipation-minimizing protocols for stochastic thermodynamic systems driven arbitrarily far from equilibrium, when granted full external control to drive the system. However, in both simulation and…

Statistical Mechanics · Physics 2022-10-27 Adrianne Zhong , Michael R. DeWeese

The problem we focus on in this paper is to find a nearly optimal sliding mode controller of continuous-time nonlinear multiple-input multiple-output (MIMO) systems that can both reduce chattering and minimize the cost function, which is a…

Systems and Control · Electrical Eng. & Systems 2021-10-26 Lei Guo , Han Zhao , Yuan Song

We consider optimal control problems for partial differential equations where the controls take binary values but vary over the time horizon, they can thus be seen as dynamic switches. The switching patterns may be subject to combinatorial…

Optimization and Control · Mathematics 2024-04-04 Christoph Buchheim , Alexandra Grütering , Christian Meyer

Optimal sampled-data control of a nonlinear system is considered with the stable-manifold approach and extensive use of numerical techniques. The idea is to notice the Hamiltonian system associated with the considered optimal control…

Systems and Control · Electrical Eng. & Systems 2021-12-30 Yasuaki Oishi , Noboru Sakamoto

We analyze the simultaneous time-optimal control of two-spin systems. The two non coupled spins which differ in the value of their chemical offsets are controlled by the same magnetic fields. Using an appropriate rotating frame, we restrict…

Quantum Physics · Physics 2015-05-19 E. Assemat , M. Lapert , Y. Zhang , M. Braun , S. J. Glaser , D. Sugny

In this paper, we concentrate on the exponential stabilization of stochastic nonlinear systems. Different from the single event-triggering mechanism in traditional deterministic/stochastic control systems, based on two stopping time…

Dynamical Systems · Mathematics 2023-06-01 Xuetao Yang , Quanxin Zhu

It is known that the gradient method can be viewed as a dynamic system where various iterative schemes can be designed as a part of the closed loop system with desirable properties. In this paper, the finite-time and fixed-time convergence…

Optimization and Control · Mathematics 2021-10-01 Yuquan Chen , Yiheng Wei , YangQuan Chen