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Related papers: On exact controllability of neutral type time-dela…

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We present a robust model predictive control method (MPC) for discrete-time linear time-delayed systems with state and control input constraints. The system is subject to both polytopic model uncertainty and additive disturbances. In the…

Systems and Control · Electrical Eng. & Systems 2022-09-27 Shaoru Chen , Ning-Yuan Li , Victor M. Preciado , Nikolai Matni

This article deals with variational optimal-control problems on time scales in the presence of delay in the state variables. The problem is considered on a time scale unifying the discrete, the continuous and the quantum cases. Two examples…

Dynamical Systems · Mathematics 2009-12-15 Thabet Abdeljawad , Fahd Jarad , Dumitru Baleanu

For linear control systems in discrete time controllability properties are characterized. In particular, a unique control set with nonvoid interior exists and it is bounded in the hyperbolic case. Then a formula for the invariance pressure…

Optimization and Control · Mathematics 2021-05-18 Fritz Colonius , João A. N. Cossich , Alexandre J. Santana

Linear systems of neutral type are considered using the infinite dimensional approach. The main problems are asymptotic, non-exponential stability, exact controllability and regular asymptotic stabilizability. The main tools are the moment…

Optimization and Control · Mathematics 2009-10-28 Rabah Rabah , Grigory M. Sklyar

In this paper we study the approximate controllability and existence of optimal control of impulsive fractional semilinear delay differential equations with non-local conditions. We use Sadovskii's fixed point theorem, semigroup theory of…

Classical Analysis and ODEs · Mathematics 2014-02-10 Lakshman Mahto , Syed Abbas

The paper addresses the exact linearization of flat nonlinear discrete-time systems by generalized static or dynamic feedbacks which may also depend on forward-shifts of the new input. We first investigate the question which forward-shifts…

Optimization and Control · Mathematics 2022-12-29 Bernd Kolar , Johannes Diwold , Conrad Gstöttner , Markus Schöberl

We derive new results regarding the controllability and the reachability of multitime controlled linear PDE systems of first order. These systems describe some important multitime evolution in engineering, economics and biology. Some of…

Optimization and Control · Mathematics 2012-01-04 Cristian Ghiu , Constantin Udriste

This paper addresses the problem of robust control of a linear discrete-time system subject to bounded disturbances and to measurement and control budget constraints. Using Q-parameterization and a polytope containment method, we prove that…

Optimization and Control · Mathematics 2021-09-23 Antoine Aspeel , Kwesi Rutledge , Raphaël M. Jungers , Benoit Macq , Necmiye Özay

We prove strong stationarity conditions for optimal control problems that are governed by a prototypical rate-independent evolution variational inequality, i.e., first-order necessary optimality conditions in the form of a primal-dual…

Optimization and Control · Mathematics 2023-07-19 Martin Brokate , Constantin Christof

We consider the null controllability problem for the wave equation, and analyse a stabilized finite element method formulated on a global, unstructured spacetime mesh. We prove error estimates for the approximate control given by the…

Numerical Analysis · Mathematics 2023-06-13 Erik Burman , Ali Feizmohammadi , Arnaud Munch , Lauri Oksanen

In this work we study the asymptotic behavior of the solutions of a class of abstract parabolic time optimal control problems when the generators converge, in an appropriate sense, to a given strictly negative operator. Our main application…

Optimization and Control · Mathematics 2015-02-09 Marius Tucsnak , Gengsheng Wang , Chi-Ting Wu

A time optimal attitude control problem is studied for the dynamics of a rigid body. The objective is to minimize the time to rotate the rigid body to a desired attitude and angular velocity while subject to constraints on the control…

Optimization and Control · Mathematics 2007-09-19 Taeyoung Lee , Melvin Leok , N. Harris McClamroch

Predictor-based stabilization results are provided for nonlinear systems with input delays and a compact absorbing set. The control scheme consists of an inter-sample predictor, a global observer, an approximate predictor, and a nominal…

Optimization and Control · Mathematics 2013-06-17 Iasson Karafyllis , Miroslav Krstic , Tarek Ahmed-Ali , Francoise Lamnabhi-Lagarrigue

This paper presents a novel two-level control architecture for a fully autonomous vehicle in a deterministic environment, which can handle traffic rules as specifications and low-level vehicle control with real-time performance. At the top…

Robotics · Computer Science 2021-05-07 Erfan Aasi , Cristian Ioan Vasile , Calin Belta

Controlled invariant set and viability regulation of dynamical control systems have played important roles in many control and coordination applications. In this paper we develop a temporal viability regulation theory for general dynamical…

Systems and Control · Computer Science 2018-11-16 Marcus Greiff , Zhiyong Sun , Anders Robertsson , Rolf Johansson

We study the controllability of a closed control-affine quantum system driven by two or more external fields. We provide a sufficient condition for controllability in terms of existence of conical intersections between eigenvalues of the…

Mathematical Physics · Physics 2015-06-17 Ugo Boscain , Jean-Paul Gauthier , Francesco Rossi , Mario Sigalotti

We investigate exact enlarged controllability for time fractional diffusion systems of Riemann-Liouville type. The Hilbert uniqueness method is used to prove exact enlarged controllability for both cases of zone and pointwise actuators. A…

Optimization and Control · Mathematics 2018-07-27 Touria Karite , Ali Boutoulout , Delfim F. M. Torres

This paper addresses the controllability of a class of quasi-linear parabolic equations governed by multiplicative controls with mobile support. To prove the existence of such a control forcing the solution to rest at time $T>0$, we first…

Optimization and Control · Mathematics 2026-05-12 Lingyang Liu

This paper presents a nonlinear control law for the stabilization of a fixed-wing UAV. Such controller solves the path-following problem and the longitudinal control problem in a single control. Furthermore, the control design is performed…

Systems and Control · Computer Science 2019-03-12 Gerardo Flores , Alejandro Flores , Andrés Montes de Oca

This paper deals with the finite horizon optimal control problem for discrete-time Markov jump linear system with input delay. The correlation among the jumping parameters and the input delay are considered simultaneously, which forms the…

Optimization and Control · Mathematics 2018-08-22 Chunyan Han , Hongdan Li , Huanshui Zhang
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