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We show that if a linear infinite-dimensional system is exponentially stabilizable by compact feedback, it is also stabilizable by means of a sampled-data feedback that is fed through a globally Lipschitz nonlinearity, provided that the…

Optimization and Control · Mathematics 2025-04-01 Rami Katz , Andrii Mironchenko

This paper studies the Lagrange stabilization of a class of nonlinear systems whose linear part has a singular system matrix and which have multiple periodic (in state) nonlinearities. Both state and output feedback Lagrange stabilization…

Systems and Control · Computer Science 2013-06-27 Hua Ouyang , Ian R. Petersen , Valery Ugrinovskii

This paper addresses the mean-square optimal control problem for \a class of discrete-time linear systems with a quasi-colored control-dependent multiplicative noise via output feedback. The noise under study is novel and shown to have…

Systems and Control · Electrical Eng. & Systems 2021-09-06 Junhui Li , Jieying Lu , Weizhou Su

This paper studies the feedback stabilization of abstract Cauchy problems with unbounded output operators by finite-dimensional controllers. Both necessary conditions and sufficient conditions for feedback stabilizability are presented. The…

Optimization and Control · Mathematics 2023-09-06 Tian Xia , Giacomo Casadei , Francesco Ferrante , Luca Scardovi

We develop dynamical programming methods for the purpose of optimal control of quantum states with convex constraints and concave cost and bequest functions of the quantum state. We consider both open loop and feedback control schemes,…

Quantum Physics · Physics 2009-03-06 Viacheslav P. Belavkin , Antonio Negretti , Klaus Molmer

This paper discusses the systematic design of an adaptive feedback linearizing neurocontroller for a high-order model of the synchronous machine/infinite bus power system. The power system is first modelled as an input-output nonlinear…

Optimization and Control · Mathematics 2007-05-23 Kingsley Fregene , Diane Kennedy

A common approach in robotics is to learn tasks by generalizing from special cases given by a so-called demonstrator. In this paper, we apply this paradigm and present an algorithm that uses a demonstrator (typically given by a trajectory…

Systems and Control · Electrical Eng. & Systems 2024-03-08 Jiří Fejlek , Stefan Ratschan

Stabilization of linear control systems with parameter-dependent system matrices is investigated. A Riccati based feedback mechanism is proposed and analyzed. It is constructed by means of an ensemble of parameters from a training set. This…

Optimization and Control · Mathematics 2023-06-05 Philipp A. Guth , Karl Kunisch , Sergio S. Rodrigues

Robust control of complex engineered and biological systems hinges on the integration of feedforward and feedback mechanisms. This is exemplified in neural motor control, where feedforward muscle co-contraction complements sensory-driven…

Optimization and Control · Mathematics 2026-03-06 Bastien Berret , Frédéric Jean

The aim of this work is to design an explicit finite dimensional boundary feedback controller of sampled-data form for locally exponentially stabilizing the equilibrium solutions to semilinear parabolic equations. The feedback controller is…

Optimization and Control · Mathematics 2019-08-09 Hanbing Liu

Designing a static state-feedback controller subject to structural constraint achieving asymptotic stability is a relevant problem with many applications, including network decentralized control, coordinated control, and sparse feedback…

Optimization and Control · Mathematics 2021-06-03 Francesco Ferrante , Fabrizio Dabbene , Chiara Ravazzi

The paper describes a continuous second-variation algorithm to solve optimal control problems where the control is defined on a closed set. A second order expansion of a Lagrangian provides linear updates of the control to construct a…

Optimization and Control · Mathematics 2011-09-27 Joris T. Olympio

This paper addresses the formation maneuver control problem of leader-follower multi-agent systems with high-order integrator dynamics. A distributed output feedback formation maneuver controller is proposed to achieve desired maneuvers so…

Systems and Control · Electrical Eng. & Systems 2023-12-20 Xu Fang , Lihua Xie

We develop the interpolatory $\mathcal{H}_2$ optimal model reduction framework for linear control systems posed on infinite dimensional state, input and output spaces. Specifically, we consider linear systems formulated as controlled…

Optimization and Control · Mathematics 2026-04-15 Cankat Tilki , Tobias Breiten , Serkan Gugercin

The design of an invariant tracking control law for the kinematic car driving on a sphere is discussed. Using a Lie group framework a left-invariant description on SO(3) is derived. Basic geometric considerations allow a direct comparison…

Optimization and Control · Mathematics 2012-03-20 Carsten Collon , Joachim Rudolph

This note presents a numerical example worked out in order to illustrate the solution to the output regulation problem with quadratic stability for linear switching systems derived in [1].

Systems and Control · Computer Science 2013-08-27 Elena Zattoni , Anna Maria Perdon , Giuseppe Conte

This paper presents a technique for designing output feedback controllers for constrained linear parameter-varying systems that are subject to persistent disturbances. Specifically, we develop an incremental parameter-varying output…

Systems and Control · Electrical Eng. & Systems 2025-07-24 Jackson G. Ernesto , Eugenio B. Castelan , Walter Lucia

The solution of problems in physics is often facilitated by a change of variables. In this work we present neural transformations to learn symmetries of Hamiltonian mechanical systems. Maintaining the Hamiltonian structure requires novel…

Computational Physics · Physics 2019-06-12 Roberto Bondesan , Austen Lamacraft

Coherent feedback is a non-measurement based, hence a back-action free, method of control for quantum systems. A typical application of this control scheme is squeezing enhancement, a purely non-classical effect in quantum optics. In this…

Quantum Physics · Physics 2016-11-17 Sanae Iida , Mitsuyoshi Yukawa , Hidehiro Yonezawa , Naoki Yamamoto , Akira Furusawa

Implementation is a common problem with feedback laws with distributed delays. This paper focuses on a specific aspect of the implementation problem for predictor-based feedback laws: the problem of the approximation of the predictor…

Optimization and Control · Mathematics 2012-11-07 Iasson Karafyllis , Miroslav Krstic
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