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Stability is arguably one of the core concepts upon which our understanding of dynamical and control systems has been built. The related notion of incremental stability, however, has received much less attention until recently, when it was…

Optimization and Control · Mathematics 2010-11-11 Majid Zamani , Paulo Tabuada

In this paper, we present a geometric approach for computing controlled invariant sets for hybrid control systems. While the problem is well studied in the ellipsoidal case, this family is quite conservative for constrained or switched…

Optimization and Control · Mathematics 2021-12-08 Benoît Legat , Raphaël M. Jungers

This work studies the inverse optimality of input-to-state stabilizing controllers with input-output stability guarantees for nonlinear homogeneous systems. We formulate a new inverse optimal control problem, where the cost functional…

Systems and Control · Electrical Eng. & Systems 2025-11-20 Kaixin Lu , Ziliang Lyu , Haoyong Yu

Recently, it has been observed that finite impulse response controllers are an excellent basis for encrypted control, where privacy-preserving controller evaluations via special cryptosystems are the main focus. Beneficial properties of FIR…

Systems and Control · Electrical Eng. & Systems 2024-08-23 Janis Adamek , Nils Schlüter , Moritz Schulze Darup

This paper considers the general problem of transitioning theoretically safe controllers to hardware. Concretely, we explore the application of control barrier functions (CBFs) to sampled-data systems: systems that evolve continuously but…

Systems and Control · Electrical Eng. & Systems 2020-05-14 Andrew Singletary , Yuxiao Chen , Aaron D. Ames

This paper presents the analysis of the stability properties of PID controllers for dynamical systems with multiple state delays, focusing on the mathematical characterization of the potential sensitivity of stability with respect to…

Optimization and Control · Mathematics 2020-09-08 Pieter Appeltans , Silviu-Iulian Niculescu , Wim Michiels

We provide out-of-sample certificates on the controlled invariance property of a given set with respect to a class of black-box linear systems. Specifically, we consider linear time-invariant models whose state space matrices are known only…

Optimization and Control · Mathematics 2022-02-17 Filippo Fabiani , Kostas Margellos , Paul J. Goulart

In this paper, we focus on the implementation of distributed programs in using a key-value store where the state of the nodes is stored in a replicated and partitioned data store to improve performance and reliability. Applications of such…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-11-09 Duong Nguyen , Sandeep S. Kulkarni , Ajoy K. Datta

This paper is motivated by the problem of asymptotically stabilizing invariant sets in the state space of control systems by means of output feedback. The sets considered are smooth embedded in submanifolds and the class of system is…

Optimization and Control · Mathematics 2015-04-29 Christopher Nielsen

Incremental stability is a property of dynamical systems that ensures the convergence of trajectories with respect to each other rather than a fixed equilibrium point or a fixed trajectory. In this paper, we introduce a related stability…

Systems and Control · Electrical Eng. & Systems 2025-10-14 P Sangeerth , David Smith Sundarsingh , Bhabani Shankar Dey , Pushpak Jagtap

A recursive time-varying state feedback is presented for a chain of integrators with unmatched perturbations in continuous and discrete time. In continuous time, it is shown that hyperexponential convergence is achieved for the first state…

Systems and Control · Electrical Eng. & Systems 2025-11-18 Moussa Labbadi , Denis Efimov

We study the self-triggered stabilization of discrete-time linear systems with quantized state measurements. In the networked control system we consider, sensors may be spatially distributed and be connected to a self-triggering mechanism…

Optimization and Control · Mathematics 2022-04-08 Masashi Wakaiki

We address the conditions and design of controllers and observers for homogeneous networks of linear MIMO agents. We develop networked controllers and observers that ensure the stability of both the system state and the estimation error,…

Systems and Control · Electrical Eng. & Systems 2026-05-19 G. Q. Bao Tran , Yutaka Hori , Shinji Hara

Utilizing a quantum system for reservoir computing has recently received a lot of attention. Key challenges are related to how on can optimally en- and decode classical information, as well as what constitutes a good reservoir. Our main…

In this paper, first, it is shown that if a nonlinear time-varying system is contractive, then it is incrementally exponentially stable. Second, leveraging this result, under mild restrictions, an approach is proposed to design feedforward…

Systems and Control · Electrical Eng. & Systems 2025-03-31 Mohamed Yassine Arkhis , Denis Efimov

This paper discusses the in-domain feedback stabilization of reaction-diffusion PDEs with Robin boundary conditions in the presence of an uncertain time- and spatially-varying delay in the distributed actuation. The proposed control design…

Optimization and Control · Mathematics 2021-08-18 Hugo Lhachemi , Christophe Prieur , Robert Shorten

This paper addresses the problem of stabilization for infinite-dimensional systems. In particular, we design nonlinear stabilizers for both linear and nonlinear abstract systems. We focus on two classes of systems: the first class comprises…

Systems and Control · Electrical Eng. & Systems 2025-09-19 Kamal Fenza , Moussa Labbadi , Mohamed Ouzahra

This paper focuses on the stabilization and regulation of linear systems affected by quantization in state-transition data and actuated input. The observed data are composed of tuples of current state, input, and the next state's interval…

Optimization and Control · Mathematics 2023-09-26 Jared Miller , Jian Zheng , Mario Sznaier , Chris Hixenbaugh

The paper deals with output feedback stabilization of exponentially stable systems by an integral controller. We propose appropriate Lyapunov functionals to prove exponential stability of the closed-loop system. An example of parabolic PDE…

Analysis of PDEs · Mathematics 2019-01-09 A Terrand-Jeanne , Vincent Andrieu , Valérie Dos Santos Martins , C. -Z Xu

Machine-learning technologies for learning dynamical systems from data play an important role in engineering design. This research focuses on learning continuous linear models from data. Stability, a key feature of dynamic systems, is…

Machine Learning · Computer Science 2023-01-25 Pawan Goyal , Igor Pontes Duff , Peter Benner