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We introduce system norms which assess transient behavior of stable Linear Time-Invariant (LTI) systems. This allows us to address undesired responses to initial conditions, finite resource consumption signals, or persistent perturbations.…

Optimization and Control · Mathematics 2025-09-23 Pierre Apkarian , Dominikus Noll

In this paper, a control scheme is developed based on an input constrained Model Predictive Controller (MPC) and the idea of modifying the reference command to enforce constraints, usual of Reference Governors (RG). The proposed scheme,…

Systems and Control · Electrical Eng. & Systems 2022-10-21 Miguel Castroviejo Fernandez , Jordan Leung , Ilya Kolmanovsky

This paper is devoted to the problem of designing functional observers for linear time-invariant (LTI) descriptor systems. The observers are realized by using state-space systems governed by ordinary differential equations (ODEs). Available…

Optimization and Control · Mathematics 2024-05-14 Juhi Jaiswal , Thomas Berger , Nutan Kumar Tomar

We present a model predictive control (MPC) framework to solve the constrained nonlinear output regulation problem. The main feature of the proposed framework is that the application does not require the solution to classical regulator…

Systems and Control · Electrical Eng. & Systems 2021-06-02 Johannes Köhler , Matthias A. Müller , Frank Allgöwer

For the rank regularized minimization problem, we introduce several kinds of stationary points by the problem itself and its equivalent reformulations including the mathematical program with an equilibrium constraint (MPEC), the global…

Optimization and Control · Mathematics 2019-06-27 Yulan Liu , Shaohua Pan

This paper, based on the compactness-continuity and finite value conditions, establishes the sufficiency of the class of stationary policies out of the general class of history-dependent ones for a constrained continuous-time Markov…

Optimization and Control · Mathematics 2014-10-31 Yi Zhang

This paper investigates the design of reduced-order observers for robotic manipulators. Observer stability conditions are obtained based on a Lyapunov analysis and the proposed observer is enhanced with a hybrid scheme that may adjust the…

Systems and Control · Electrical Eng. & Systems 2021-11-24 Andrea Cristofaro , Alessandro De Luca

This paper presents a novel control design for vehicular formations, which is an alternative to the conventional second-order consensus protocol. The design is motivated by the closed-loop system, which we construct as first-order systems…

Optimization and Control · Mathematics 2024-02-26 Jonas Hansson , Emma Tegling

In this paper we study sufficient conditions for metric subregularity of a set-valued map which is the sum of a single-valued continuous map and a locally closed subset. First we derive a sufficient condition for metric subregularity which…

Optimization and Control · Mathematics 2019-10-07 Kuang Bai , Jane Ye , Jin Zhang

Recently, [2] proved that the closed-loop system resulting from the output proportional feedback stabilization of a class of delayed neural fields is input-to-state stable (ISS) for sufficiently high gain, subject to the existence of an…

Optimization and Control · Mathematics 2023-01-09 Lucas Brivadis , Cyprien Tamekue , Antoine Chaillet , Jean Auriol

In this paper, we consider the second-order consensus problem for networked mechanical systems subjected to nonuniform communication delays, and the mechanical systems are assumed to interact on a general directed topology. We propose an…

Systems and Control · Computer Science 2014-03-03 Hanlei Wang , Long Cheng

In this paper, we present a method of applying integral action to enhance the robustness of energy shaping controllers for underactuated mechanical systems with matched disturbances. Previous works on this problem have required a number of…

Systems and Control · Computer Science 2017-09-01 Joel Ferguson , Alejandro Donaire , Romeo Ortega , Richard H. Middleton

A decision feedback circuit with integrated offset compensation is presented in this paper. The circuit is built around the sense amplifier comparator. The feedback loop is closed around the first stage of the comparator resulting in…

Hardware Architecture · Computer Science 2017-02-06 Naveen Kadayinti , Dinesh Sharma

Optimal transport (OT) theory has been been used in machine learning to study and characterize maps that can push-forward efficiently a probability measure onto another. Recent works have drawn inspiration from Brenier's theorem, which…

Machine Learning · Computer Science 2023-02-13 Théo Uscidda , Marco Cuturi

Boundary feedback control design is studied for 1D hyperbolic systems with an in-domain disturbance and a boundary feedback controller under the effect of actuator saturation. Nonlinear semigroup theory is used to prove well-posedness of…

Optimization and Control · Mathematics 2022-05-18 Suha Shreim , Francesco Ferrante , Christophe Prieur

A functional analysis of the task of observing multiple macroscopic quantum systems over an extended period of time and then reporting the accumulated results is used to investigate the information that must be encoded in the "ready" state…

Quantum Physics · Physics 2011-03-08 Chris Fields

This tutorial describes recently developed general optimality conditions for Markov Decision Processes that have significant applications to inventory control. In particular, these conditions imply the validity of optimality equations and…

Optimization and Control · Mathematics 2016-06-06 Eugene A. Feinberg

Frequency dependent exchange correlation kernels for time-dependent density functional theory can be used to construct approximate exchange-correlation potentials. The resulting potentials are usually not translationally covariant nor do…

Strongly Correlated Electrons · Physics 2009-11-13 Yair Kurzweil , Roi Baer

A minimal Cantor system is said to be self-induced whenever it is conjugate to one of its induced systems. Substitution subshifts and some odometers are classical examples, and we show that these are the only examples in the equicontinuous…

Dynamical Systems · Mathematics 2015-11-05 Fabien Durand , Nicholas Ormes , Samuel Petite

Transitive closure logic is a known extension of first-order logic obtained by introducing a transitive closure operator. While other extensions of first-order logic with inductive definitions are a priori parametrized by a set of inductive…

Logic in Computer Science · Computer Science 2018-06-29 Liron Cohen , Reuben N. S. Rowe