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We study a class of singularly perturbed impulsive linear switched systems exhibiting switching between slow and fast dynamics. To analyze their behavior, we construct auxiliary switched systems evolving in a single time scale. We prove…

Optimization and Control · Mathematics 2026-02-09 Ihab Haidar , Yacine Chitour , Jamal Daafouz , Paolo Mason , Mario Sigalotti

This paper addresses a structural design problem in control systems, and explicitly takes into consideration the possible application to large-scale systems. More precisely, we aim to determine and characterize the minimum number of…

Optimization and Control · Mathematics 2016-06-13 Sergio Pequito , George J. Pappas

We propose a distributed algorithm for controlling traffic signals, allowing constraints such as periodic switching sequences of phases and minimum and maximum green time to be incorporated. Our algorithm is adapted from backpressure…

Systems and Control · Computer Science 2014-07-07 Tichakorn Wongpiromsarn , Tawit Uthaicharoenpong , Emilio Frazzoli , Yu Wang , Danwei Wang

We investigate the stability problem for discrete-time stochastic switched linear systems under the specific scenarios where information about the switching patterns and the probability of switches are not available. Our analysis focuses on…

Systems and Control · Computer Science 2018-04-23 Ahmet Cetinkaya , Hideaki Ishii , Tomohisa Hayakawa

We introduce a novel approach based on stochastic optimization to find the optimal sampling distribution for the data-driven stability analysis of switched linear systems. Our goal is to address limitations of existing approaches, in…

Optimization and Control · Mathematics 2025-09-01 Alexis Vuille , Guillaume O. Berger , Raphaël M. Jungers

Strong stability, defined by bounds that decay not only over time but also with the number of impulses, has been established as a requirement to ensure robustness properties for impulsive systems with respect to inputs or disturbances. Most…

Systems and Control · Electrical Eng. & Systems 2024-08-22 Alexis J. Vallarella , José Luis Mancilla-Aguilar , Hernan Haimovich

The performance of decision policies and prediction models often deteriorates when applied to environments different from the ones seen during training. To ensure reliable operation, we analyze the stability of a system under distribution…

Machine Learning · Statistics 2026-02-13 Hongseok Namkoong , Yuanzhe Ma , Peter W. Glynn

This paper presents an efficient Mixed-Integer Nonlinear Programming (MINLP) formulation for systems with discrete control inputs under dwell time constraints. By viewing such systems as a switched system, the problem is decomposed into a…

Optimization and Control · Mathematics 2025-01-10 Ramin Abbasi-Esfeden , Armin Nurkanovic , Moritz Diehl , Panagiotis Patrinos , Jan Swevers

This paper is concerned with the problem of distributed estimation for time-varying interconnected dynamic systems with arbitrary coupling structures. To guarantee the robustness of the designed estimators, novel distributed stability…

Systems and Control · Electrical Eng. & Systems 2022-06-02 Yuchen Zhang , Bo Chen , Li Yu , Daniel W. C. Ho

Characterization of classes of switching signals that ensure stability of switched systems occupies a significant portion of the switched systems literature. This article collects a multitude of stabilizing switching signals under an…

Systems and Control · Computer Science 2019-06-05 Atreyee Kundu , Debasish Chatterjee

Dynamic and evolving operational and economic environments present significant challenges for decision-making. We explore a simulation optimization problem characterized by non-stationary input distributions with regime-switching dynamics…

Optimization and Control · Mathematics 2025-08-19 Jianglin Xia , Haowei Wang , Songhao Wang , Szu Hui Ng

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

It is a known fact that not all controllable systems can be asymptotically stabilized by a continuous static feedback. Several approaches have been developed throughout the last decades, including time-varying, dynamical and even…

Optimization and Control · Mathematics 2018-06-25 Pavel Osinenko , Lukas Beckenbach , Stefan Streif

We present a data-driven framework based on Lyapunov theory to provide stability guarantees for a family of hybrid systems. In particular, we are interested in the asymptotic stability of switching linear systems whose switching sequence is…

Systems and Control · Electrical Eng. & Systems 2023-02-13 Adrien Banse , Zheming Wang , Raphaël M. Jungers

Entangled atomic states, such as spin squeezed states, represent a promising resource for a new generation of quantum sensors and atomic clocks. We demonstrate that optimal control techniques can be used to substantially enhance the degree…

Quantum Physics · Physics 2016-02-03 T. Pichler , T. Caneva , S. Montangero , M. D. Lukin , T. Calarco

Sustained research efforts have been devoted to learning optimal controllers for linear stochastic dynamical systems with unknown parameters, but due to the corruption of noise, learned controllers are usually uncertified in the sense that…

Systems and Control · Electrical Eng. & Systems 2023-02-07 Yiwen Lu , Yilin Mo

Adaptively controlling and minimizing regret in unknown dynamical systems while controlling the growth of the system state is crucial in real-world applications. In this work, we study the problem of stabilization and regret minimization of…

Systems and Control · Electrical Eng. & Systems 2022-02-10 Jafar Abbaszadeh Chekan , Kamyar Azizzadenesheli , Cedric Langbort

We present a scheme to convert self-stabilizing algorithms that use randomization during and following convergence to self-stabilizing algorithms that use randomization only during convergence. We thus reduce the number of random bits from…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-05-13 Shlomi Dolev , Nir Tzachar

Introduction of renewable generation leads to significant reduction of inertia in power system, which deteriorates the quality of frequency control. This paper suggests a new control scheme utilizing controllable load to deal with low…

Systems and Control · Computer Science 2018-11-30 Oleg O. Khamisov , Janusz W. Bialek , Anatoly Dymarsky

For a class of coupled limit cycle oscillators, we give a condition on a linear coupling operator that is necessary and sufficient for exponential stability of the synchronous solution. We show that with certain modifications our method of…

Adaptation and Self-Organizing Systems · Physics 2010-02-24 Georgi S. Medvedev