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This paper presents a computationally efficient robust model predictive control law for discrete linear time invariant systems subject to additive disturbances that may depend on the state and/or input norms. Despite the dependency being…

Optimization and Control · Mathematics 2019-08-12 Danylo Malyuta , Behcet Acikmese , Martin Cacan

We study the regional controllability problem for delayed fractional control systems through the use of the standard Caputo derivative. First, we recall several fundamental results and introduce the family of fractional-order systems under…

Optimization and Control · Mathematics 2022-12-22 Touria Karite , Adil Khazari , Delfim F. M. Torres

Controllability properties for discrete-time, Markovian quantum dynamics are investigated. We find that, while in general the controlled system is not finite-time controllable, feedback control allows for arbitrary asymptotic state-to-state…

Quantum Physics · Physics 2012-10-25 Francesca Albertini , Francesco Ticozzi

A control design approach is developed for a general class of uncertain strict-feedback-like nonlinear systems with dynamic uncertain input nonlinearities with time delays. The system structure considered in this paper includes a nominal…

Optimization and Control · Mathematics 2018-01-09 Prashanth Krishnamurthy , Farshad Khorrami

This paper deals with the controllability of linear one-dimensional hyperbolic systems. Reformulating the problem in terms of linear difference equations and making use of infinite-dimensional realization theory, we obtain both necessary…

Optimization and Control · Mathematics 2024-05-14 Yacine Chitour , Sébastien Fueyo , Guilherme Mazanti , Mario Sigalotti

In this paper, we study small-time local controllability of real analytic control-affine systems under small perturbations of their vector fields. Consider a real analytic control system $\mathcal{X}$ which is small-time locally…

Optimization and Control · Mathematics 2019-11-20 Saber Jafarpour

This paper studies optimal time-bounded control in multi-mode systems with discrete costs. Multi-mode systems are an important subclass of linear hybrid systems, in which there are no guards on transitions and all invariants are global.…

Logic in Computer Science · Computer Science 2017-06-30 Mahmoud A. A. Mousa , Sven Schewe , Dominik Wojtczak

We are concerned about the controllability of a general linear hyperbolic system of the form $\partial_t w (t, x) = \Sigma(x) \partial_x w (t, x) + \gamma C(x) w(t, x) $ ($\gamma \in \mR$) in one space dimension using boundary controls on…

Optimization and Control · Mathematics 2018-12-05 Jean-Michel Coron , Hoai-Minh Nguyen

We examine the problem of two-point boundary optimal control of nonlinear systems over finite-horizon time periods with unknown model dynamics by employing reinforcement learning. We use techniques from singular perturbation theory to…

Optimization and Control · Mathematics 2023-06-12 Vasanth Reddy , Hoda Eldardiry , Almuatazbellah Boker

In this paper, we consider a class of fractional integro-differential inclusions in Hilbert spaces. This paper deals with the approximate controllability for a class of fractional integro-differential control systems. First, we establishes…

Dynamical Systems · Mathematics 2015-02-04 N. I. Mahmudov , V. Vijayakumar , C. Ravichandran , R. Murugesu

In this paper we estimate the minimal controllability time for a class of non-linear control systems with a bounded convex state constraint. An explicit expression is given for the controllability time if the image of the control matrix is…

Optimization and Control · Mathematics 2023-06-13 Viktor Bezborodov , Luca Di Persio , Riccardo Muradore

This paper addresses the closed-loop control of an actuator with both a continuous input variable (motor torque) and a discrete input variable (mode selection). In many applications, robots have to bear large loads while moving slowly and…

Robotics · Computer Science 2022-05-31 Alexandre Girard , H. Harry Asada

In this article, we consider a cooperative control problem involving a heterogeneous network of dynamically decoupled continuous-time linear plants. The (output-feedback) controllers for each plant may communicate with each other according…

Optimization and Control · Mathematics 2024-01-09 Mruganka Kashyap , Laurent Lessard

In this work we extend a variational method to study the approximate controllability and finite dimensional exact controllability ( finite-approximate controllability) for the semilinear evolution equations in Hilbert spaces. We state a…

Analysis of PDEs · Mathematics 2018-06-20 N. I. Mahmudov

We introduce a notion of bounded variation solution for a new class of nonlinear control systems with ordinary and impulsive controls, in which the drift function depends not only on the state, but also on its past history, through a finite…

Optimization and Control · Mathematics 2023-07-25 Giovanni Fusco , Monica Motta

The paper deals with exact null-controllability problem for a linear control system consisting of two serially connected abstract control systems. Controllability conditions are obtained. Applications to the exact null-controllability for…

Optimization and Control · Mathematics 2013-05-07 B. Shklyar

This paper studies the time optimal control problem for systems of heat equations coupled by a pair of constant matrices. The control constraint is of the ball-type, while the target is the origin of the state space. We obtain an upper…

Optimization and Control · Mathematics 2020-07-29 Shulin Qin , Gengsheng Wang , Huaiqiang Yu

We consider the bilinear Schroedinger equation on a bounded one-dimensional domain and we provide explicit times such that the global exact controllability is verified. In addition, we show how to construct controls for the global…

Mathematical Physics · Physics 2019-05-03 Alessandro Duca

Controllability refers to a situation in which a Multi-agent System may be steered from one state to another using specified rules. As a result, there is belief in achieving a given condition by explicit advances. The level of dynamism in…

Multiagent Systems · Computer Science 2021-12-28 Javeria Noor

We investigate a Hilbert space dynamical system of the form $\dot{z}(t)=Az(t)+A_1z(t-\tau)+Bu(t)$, where $A$ generates a semigroup of contractions and $A_1$ is a bounded operator, in order to determine whether the operator $B$ is…

Optimization and Control · Mathematics 2018-04-25 Radoslaw Zawiski , Jonathan R. Partington