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Formation control deals with the design of decentralized control laws that stabilize mobile, autonomous agents at prescribed distances from each other. We call any configuration of the agents a target configuration if it satisfies the…

Dynamical Systems · Mathematics 2016-05-23 Xudong Chen , M. -A. Belabbas , Tamer Başar

We consider a model of a decentralized multiple access system with a non-standard binary feedback where the empty and collision situations cannot be distinguished. We show that, like in the case of a ternary feedback, for any input rate…

Probability · Mathematics 2016-07-12 Sergey Foss , Bruce Hajek , Andrey Turlikov

An approach to stabilization of control systems with ultimately wide ranges of uncertainly disturbed parameters is offered. The method relies on using of nonlinear structurally stable functions from catastrophe theory as controllers.…

Optimization and Control · Mathematics 2009-01-20 Viktor Ten

We develop a predictor-feedback control design for multi-input nonlinear systems with distinct input delays, of arbitrary length, in each individual input channel. Due to the fact that different input signals reach the plant at different…

Optimization and Control · Mathematics 2015-08-25 Nikolaos Bekiaris-Liberis , Miroslav Krstic

In this contribution we discuss flat discrete-time nonlinear systems in a general setting including two special subclasses, namely, forward- and backward-flat systems. We relate rank conditions for certain submatrices of the Jacobian of the…

Optimization and Control · Mathematics 2025-11-03 Johannes Schrotshamer , Bernd Kolar , Markus Schöberl

It is well-known that the controllability of finite-dimensional nonlinear systems can be established by showing the controllability of the linearized system. However, this classical result does not generalize to infinite-dimensional…

Optimization and Control · Mathematics 2021-07-29 Bernd Kolar , Markus Schöberl

Using the properties of differential flatness, a controllable system, such as a quadcoper model, may be transformed into a linear equivalent system via a coordinate change and an input mapping. This is a straightforward advantage for the…

Systems and Control · Electrical Eng. & Systems 2024-02-15 Huu-Thinh Do , Franco Blanchini , Ionela Prodan

Differential flatness has been used to provide diffeomorphic transformations for non-linear dynamics to become a linear controllable system. This greatly simplifies the control synthesis since in the flat output space, the dynamics appear…

Systems and Control · Electrical Eng. & Systems 2023-04-20 Huu-Thinh Do , Ionela Prodan

This paper addresses problems on the structural design of control systems taking explicitly into consideration the possible application to large-scale systems. We provide an efficient and unified framework to solve the following major…

Optimization and Control · Mathematics 2014-09-23 Sergio Pequito , Soummya Kar , A. Pedro Aguiar

We introduce a task-relative taxonomy of actuator inputs for nonlinear systems within the input-output feedback-linearization framework. Given a flat output specifying the task, inputs are classified as essential, redundant, or dexterity:…

Systems and Control · Electrical Eng. & Systems 2026-03-10 Mirko Mizzoni , Pieter van Goor , Barbara Bazzana , Antonio Franchi

We investigate a new class of nonlinear control systems of O.D.E., which are not feedback linearizable in general. Our class is a generalization of the well-known feedback linearizable systems, and moreover it is a generalization of the…

Optimization and Control · Mathematics 2007-05-23 Svyatoslav S. Pavlichkov

Triangular systems with nonadditively separable unobserved heterogeneity provide a theoretically appealing framework for the modelling of complex structural relationships. However, they are not commonly used in practice due to the need for…

Econometrics · Economics 2019-10-08 Victor Chernozhukov , Iván Fernández-Val , Whitney Newey , Sami Stouli , Francis Vella

We show that a bilinear control system is approximately controllable if and only if it is controllable in $\mathbb{R}^{n}\setminus\{0\}$. We approach this problem by looking at the foliation made by the orbits of the system, and by showing…

Optimization and Control · Mathematics 2021-10-11 Daniele Cannarsa , Mario Sigalotti

Recent developments in data-driven control have revived interest in the behavioral approach to systems theory, where systems are defined as sets of trajectories rather than being described by a specific model or representation. However,…

Optimization and Control · Mathematics 2026-04-08 L. P. Wieringa , A. Padoan , F. Dorfler , J. Eising

We investigate the universality of multi-spin systems in architectures of various symmetries of coupling type and topology. Explicit reachability sets under symmetry constraints are provided. Thus for a given (possibly symmetric)…

Quantum Physics · Physics 2009-05-17 U. Sander , T. Schulte-Herbrueggen

This paper is devoted to the study of the flatness property of linear time-invariant fractional systems. In the framework of polynomial matrices of the fractional derivative operator, we give a characterization of fractionally flat outputs…

Computational Physics · Physics 2015-09-10 Stéphane Victor , Pierre Melchior , Jean Lévine , Alain Oustaloup

This paper introduces a computational framework to identify nonlinear input-output operators that fit a set of system trajectories while satisfying incremental integral quadratic constraints. The data fitting algorithm is thus regularized…

Optimization and Control · Mathematics 2021-10-25 Henk J. van Waarde , Rodolphe Sepulchre

This paper presents a methodology for ensuring that the composition of multiple Control Barrier Functions (CBFs) always leads to feasible conditions on the control input, even in the presence of input constraints. In the case of a system…

Optimization and Control · Mathematics 2023-03-24 Joseph Breeden , Dimitra Panagou

We present necessary and sufficient optimality conditions for finite time optimal control problems for a class of hybrid systems described by linear complementarity models. Although these optimal control problems are difficult in general…

Optimization and Control · Mathematics 2016-10-11 Andreas B. Hempel , Paul Goulart , John Lygeros

This paper presents an input-output simulation approach to controlling multi-affine systems for linear temporal logic (LTL) specifications, which consists of the following steps. First, we partition the state space into rectangles, each of…

Systems and Control · Computer Science 2012-05-01 Yajuan Sun , Hai Lin , Ben M. Chen