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There has been an increasing interest in using neural networks in closed-loop control systems to improve performance and reduce computational costs for on-line implementation. However, providing safety and stability guarantees for these…

Systems and Control · Electrical Eng. & Systems 2020-04-20 Haimin Hu , Mahyar Fazlyab , Manfred Morari , George J. Pappas

Positive linear systems on arbitrary time scales are studied. The theory developed in the paper unifies and extends concepts and results known for continuous-time and discrete-time systems. A necessary and sufficient condition for a linear…

Optimization and Control · Mathematics 2012-04-17 Zbigniew Bartosiewicz

We investigate a control technique for spatially extended systems combining spatial filtering with a previously studied form of time-delay feedback. The scheme is naturally suited to real-time control of optical systems. We apply the…

We present an analysis of time-delayed feedback control used to stabilize an unstable steady state of a neutral delay differential equation. Stability of the controlled system is addressed by studying the eigenvalue spectrum of a…

Chaotic Dynamics · Physics 2012-09-21 K. B. Blyuss , Y. N. Kyrychko , P. Hoevel , E. Schoell

In this paper we present a direct adaptive control method for a class of uncertain nonlinear systems with a time-varying structure. We view the nonlinear systems as composed of a finite number of ``pieces,'' which are interpolated by…

Optimization and Control · Mathematics 2007-05-23 R. Ordonez , K. M. Passino

Networked Predictive Control is widely used to mitigate the effect of delays and dropouts in Networked Control Systems, particularly when these exceed the sampling time. A key design choice of these methods is the delay bound, which…

Systems and Control · Electrical Eng. & Systems 2026-05-18 Severin Beger , Yihui Lin , Katarina Stanojevic , Sandra Hirche

We study networked control of non-linear systems where system states and tentative plant input sequences are transmitted over unreliable communication channels. The sequences are calculated recursively by using a pre-designed nominally…

Optimization and Control · Mathematics 2013-11-08 Daniel E. Quevedo , Isabel Jurado

We investigate the stabilizability of discrete-time linear switched systems, when the sole control action of the controller is the switching signal, and when the controller has access to the state of the system in real time. Despite their…

Optimization and Control · Mathematics 2021-05-20 Carl P. Dettmann , R. M. Jungers , P. Mason

Control of complex processes is a major goal of network analyses. Most approaches to control nonlinearly coupled systems require the network topology and/or network dynamics. Unfortunately, neither the full set of participating nodes nor…

Molecular Networks · Quantitative Biology 2014-12-23 Jason Shulman , Frank Malatino , Alexander Mo , Killian Ryan , Gemunu H. Gunaratne

The problem of resource allocation of nonlinear networked control systems is investigated, where, unlike the well discussed case of triggering for stability, the objective is optimal triggering. An approximate dynamic programming approach…

Systems and Control · Computer Science 2014-12-19 Ali Heydari

This work establishes the first rigorous stability guarantees for approximate predictors in delay-adaptive control of nonlinear systems, addressing a key challenge in practical implementations where exact predictors are unavailable. We…

Systems and Control · Electrical Eng. & Systems 2025-10-01 Luke Bhan , Miroslav Krstic , Yuanyuan Shi

In this paper, we propose a system-level approach for verifying the safety of neural network controlled systems, combining a continuous-time physical system with a discrete-time neural network based controller. We assume a generic model for…

Artificial Intelligence · Computer Science 2020-11-11 Arthur Clavière , Eric Asselin , Christophe Garion , Claire Pagetti

For networked systems, the control law is typically subject to network flaws such as delays and packet dropouts. Hence, the time in between updates of the control law varies unexpectedly. Here, we present a stability theorem for nonlinear…

Optimization and Control · Mathematics 2012-08-30 Lars Grüne , Jürgen Pannek , Karl Worthmann

A robust model predictive control scheme for a class of constrained norm-bounded uncertain discrete-time linear systems is developed under the hypothesis that only partial state measurements are available for feedback. Off-line calculations…

Systems and Control · Computer Science 2018-07-23 Giuseppe Franzè , Massimiliano Mattei , Luciano Ollio , Valerio Scordamaglia

We introduce a nonlocal control condition and the notion of approximate controllability for fractional order quasilinear control inclusions. Approximate controllability of a fractional control nonlocal delay quasilinear functional…

Optimization and Control · Mathematics 2014-06-23 Amar Debbouche , Delfim F. M. Torres

We investigate the task of controlling ensembles of initial and terminal state vectors of parameter-dependent linear systems by applying parameter-independent open loop controls. Necessary, as well as sufficient, conditions for ensemble…

Optimization and Control · Mathematics 2015-07-23 Michael Schönlein , Uwe Helmke

The aim of this paper is to investigate the well-posedness of a class of boundary control and observation systems on a one dimensional spatial domain. We derive a necessary and sufficient condition characterizing the well-posedness of these…

Optimization and Control · Mathematics 2026-02-06 Bouchra Elghazi , Birgit Jacob , Hans Zwart

We study the control of networked systems with the goal of optimizing both transient and steady-state performances while providing stability guarantees. Linear proportional-integral (PI) controllers are almost always used in practice, but…

Systems and Control · Electrical Eng. & Systems 2023-06-01 Wenqi Cui , Yan Jiang , Baosen Zhang , Yuanyuan Shi

Trajectory tracking of nonlinear dynamical systems with affine open-loop controls is investigated. The control task is to enforce the system state to follow a prescribed desired trajectory as closely as possible. We introduce exactly…

Optimization and Control · Mathematics 2016-03-03 Jakob Löber

In this paper, problems of optimal control are considered where in the objective function, in addition to the control cost there is a tracking term that measures the distance to a desired stationary state. The tracking term is given by some…

Optimization and Control · Mathematics 2020-06-15 Martin Gugat , Michael Schuster , Enrique Zuazua
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