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Linearization based controllers for incompressible flows have been proven to work in theory and in simulations. To realize such a controller numerically, the infinite dimensional system has to be linearized and discretized. The unavoidable…

Dynamical Systems · Mathematics 2019-11-05 Jan Heiland

This paper considers a disturbance attenuation problem for a linear discrete time invariant system under random disturbances with imprecisely known probability distributions. The statistical uncertainty is measured in terms of relative…

Systems and Control · Computer Science 2015-03-19 Michael M. Tchaikovsky , Alexander P. Kurdyukov , Victor N. Timin

This paper studies the stability and $\mathcal{H}_{\infty}$ performance analysis problem for linear networked and quantized control systems with both communication delays random packet losses. To deal with the network-induced uncertainties…

Systems and Control · Electrical Eng. & Systems 2021-03-05 Wei Ren , Junlin Xiong

For linear infinite systems the approximate controllability problem by control constraints is considered. Controllability conditions represented via system parameters are obtained. Partial differential control systems and control systems…

solv-int · Physics 2008-02-03 B. Shklyar

In this paper, we study stabilizability of discrete-time switched linear systems where the switching signal is considered as an arbitrary disturbance (and not a control variable). We characterize feedback stabilization via necessary and…

Optimization and Control · Mathematics 2025-06-05 Thiago Alves Lima , Matteo Della Rossa , Antoine Girard

This paper deals with a distributed implementation of minimax adaptive control algorithm for networked dynamical systems modeled by a finite set of linear models. To hedge against the uncertainty arising out of finite number of possible…

Systems and Control · Electrical Eng. & Systems 2022-10-04 Venkatraman Renganathan , Anders Rantzer , Olle Kjellqvist

A nonovershooting finite-time control design for linear multi-input system is proposed by upgrading a linear (asymptotic) nonovershooting stabilizer to a homogeneous one. Robustness of the safety and stability properties is analyzed using…

Optimization and Control · Mathematics 2023-05-17 Andrey Polyakov , Miroslav Krstic

We consider controllable linear discrete-time systems with bounded perturbations and present two methods to compute robust controlled invariant sets. The first method tolerates an arbitrarily small constraint violation to compute an…

Optimization and Control · Mathematics 2018-01-03 Matthias Rungger , Paulo Tabuada

We consider the problem of designing a feedback controller which robustly regulates an LTI system to an optimal operating point in the presence of unmeasured disturbances. A general design framework based on so-called optimality models was…

Optimization and Control · Mathematics 2022-08-18 John W. Simpson-Porco

The purpose of this paper is to formulate and solve a H-infinity controller synthesis problem for a class of non-commutative linear stochastic systems which includes many examples of interest in quantum technology. The paper includes…

Quantum Physics · Physics 2009-04-09 M. R. James , H. I. Nurdin , I. R. Petersen

This paper investigates the finite time stabilization problem for a class of nonlinear systems with unknown control directions and unstructured uncertainties. The unstructured uncertainties indicate that not only the parameters but also the…

Systems and Control · Electrical Eng. & Systems 2024-10-30 Shiqi Zheng , Shihao Wang , Xiang Chen , Yuanlong Xie

Motivated by a real problem in steel production, we introduce and analyze a general class of singularly perturbed linear hybrid systems with both switches and impulses, in which the slow or fast nature of the variables can be…

Systems and Control · Computer Science 2017-06-16 Jihene Ben Rejeb , Irinel-Constantin Morărescu , Antoine Girard , Jamal Daafouz

For systems that are not observable at the very equilibrium of interest to be stabilized, output-feedback stabilization is considerably challenging. In this paper we solve this control problem for the case-study of a second-order system…

Optimization and Control · Mathematics 2023-09-21 Mohamed Maghenem , William Pasillas-Lépine , Antonio Loría , Missie Aguado-Rojas

This paper presents a novel procedure for robust control design of linear time-invariant systems using a Multivariable Generalized Super-Twisting Algorithm (MGSTA). The proposed approach addresses robust stability and performance…

Systems and Control · Electrical Eng. & Systems 2025-02-27 J. C. Geromel , E. V. L. Nunes , L. Hsu

We investigate the stabilization of unstable multidimensional partially observed single-sensor and multi-sensor linear systems driven by unbounded noise and controlled over discrete noiseless channels under fixed-rate information…

Optimization and Control · Mathematics 2012-09-21 Andrew P. Johnston , Serdar Yüksel

In this paper, we propose a novel data-driven predictive control approach for systems subject to time-domain constraints. The approach combines the strengths of H-infinity control for rejecting disturbances and MPC for handling constraints.…

Optimization and Control · Mathematics 2024-03-25 Nan Li , Ilya Kolmanovsky , Hong Chen

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

Consider that a linear time-invariant (LTI) plant is given and that we wish to design a stabilizing controller for it. Admissible controllers are LTI and must comply with a pre-selected sparsity pattern. The sparsity pattern is assumed to…

Systems and Control · Computer Science 2012-09-07 Serban Sabau , Nuno C. Martins

Engineered systems naturally experience large disturbances that can disrupt desired operation because the system may fail to recover to a stable equilibrium point. It is valuable to determine the mechanism of instability when the system is…

Systems and Control · Electrical Eng. & Systems 2025-03-18 Jinghan Wang , Michael W. Fisher

We consider the set of bimodal linear systems consisting of two linear dynamics acting on each side of a given hyperplane, assuming continuity along the separating hyperplane. Focusing on the unobservable planar ones, we obtain a simple…

Dynamical Systems · Mathematics 2012-01-04 Josep Ferrer , M. Dolors Magret , Juan R. Pacha , Marta Peña
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