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In the present work, a simple algorithm for stabilizing an unknown linear time-invariant system is proposed, assuming only that this system is stabilizable. The suggested algorithm is based on first performing a partial identification of…

Optimization and Control · Mathematics 2022-11-14 Dennis Gramlich , Christian Ebenbauer

In this paper we first study the fixed-time stabilizability of discrete-time switched linear control systems. Using a geometric approach, we derive conditions under which such systems can be stabilized within a prescribed number of steps,…

Optimization and Control · Mathematics 2026-04-30 Picchiotti Flavio , Thiago Alves Lima , Girard Antoine

Linear dynamical systems are canonical models for learning-based control of plants with uncertain dynamics. The setting consists of a stochastic differential equation that captures the state evolution of the plant understudy, while the true…

Systems and Control · Electrical Eng. & Systems 2022-01-03 Mohamad Kazem Shirani Faradonbeh , Mohamad Sadegh Shirani Faradonbeh

Partitioning large networks into stable clusters of synchronized nodes is a challenging task. Recent approaches based on spectral analysis can provide exact results on specific dynamics but remain unfeasible for very large networks.…

Physics and Society · Physics 2026-01-23 Massimo Ostilli

We consider the problem of adaptive stabilization for discrete-time, multi-dimensional linear systems with bounded control input constraints and unbounded stochastic disturbances, where the parameters of the true system are unknown. To…

Systems and Control · Electrical Eng. & Systems 2023-04-04 Seth Siriya , Jingge Zhu , Dragan Nešić , Ye Pu

We investigate the stabilization of unstable multidimensional partially observed single-sensor and multi-sensor linear systems driven by unbounded noise and controlled over discrete noiseless channels under fixed-rate information…

Optimization and Control · Mathematics 2012-09-21 Andrew P. Johnston , Serdar Yüksel

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

For the identification of switched systems with a measured switching signal, this work aims to analyze the effect of switching strategies on the estimation error. The data for identification is assumed to be collected from globally…

Systems and Control · Electrical Eng. & Systems 2022-07-26 Shengling Shi , Othmane Mazhar , Bart De Schutter

Autonomous agents are often tasked with operating in an area where feedback is unavailable. Inspired by such applications, this paper develops a novel switched systems-based control method for uncertain nonlinear systems with temporary loss…

Systems and Control · Computer Science 2018-03-16 Hsi-Yuan Chen , Zachary I. Bell , Patryk Deptula , Warren E. Dixon

We introduce a novel framework for the stability analysis of discrete-time linear switching systems with switching sequences constrained by an automaton. The key element of the framework is the algebraic concept of multinorm, which…

Dynamical Systems · Mathematics 2016-04-22 Matthew Philippe , Ray Essick , Geir Dullerud , Raphaël M. Jungers

Stabilization is a key dependability property for dealing with unanticipated transient faults, as it guarantees that even in the presence of such faults, the system will recover to states where it satisfies its specification. One of the…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-06-12 Vidhya Tekken Valapil , Sandeep S. Kulkarni

In this paper we derive stability conditions for a switched system where switching occurs between linear descriptor systems of different indices. In particular, our results can be used to analyse the stability of the important case when…

Optimization and Control · Mathematics 2017-05-19 Shravan Sajja , Martin Corless , Ezra Zeheb , Robert Shorten

In this paper, existence conditions and a design procedure of reduced-order switched positive observers for continuous- and discrete-time switched positive linear systems with uncertainty are established. In the analyzed class, arbitrary…

Systems and Control · Electrical Eng. & Systems 2025-05-15 Naohisa Otsuka , Daiki Kakehi , Przemysław Ignaciuk

Out-of-system (OoS) interference is a potential limitation for distributed networks that operate in unlicensed spectrum or in a spectrum sharing scenario. The OoS interference differs from the in-system interference in that OoS signals and…

Information Theory · Computer Science 2024-05-08 Zakir Hussain Shaik , Erik G. Larsson

This paper deals with design of maximum hands-off hybrid control sequences for discrete-time switched linear systems. It is a sparsest combination of a discrete control sequence (i.e. the switching sequence) and a continuous control…

Optimization and Control · Mathematics 2026-01-27 Darsana U , Atreyee Kundu

This paper develops a neural network based control framework that ensures system safety and input-to-state stability (ISS) for general nonlinear switched systems with unknown dynamics. Leveraging the concept of dwell time, we derive…

Systems and Control · Electrical Eng. & Systems 2026-01-22 Bhabani Shankar Dey , Ahan Basu , Pushpak Jagtap

This work studies data-driven switched controller design for discrete-time switched linear systems. Instead of having access to the full system dynamics, an initialization phase is performed, during which noiseless measurements of the state…

Optimization and Control · Mathematics 2022-09-13 Jaap Eising , Shenyu Liu , Sonia Martinez , Jorge Cortes

This paper proposes a procedure to control an uncertain discrete-time networked control system through a limited stabilizing input information. The system is primarily affected by the time-varying, norm bounded, mismatched parametric…

Optimization and Control · Mathematics 2015-12-23 Niladri Sekhar Tripathy , I. N. Kar , Kolin Paul

In this work, a new two-stage identification method based on dynamic programming and sparsity inducing is proposed for switched linear systems. Our method achieves sparsity inducing in the identification of switched linear systems by the…

Systems and Control · Electrical Eng. & Systems 2024-07-15 Zheng Wenju , Ye Hao

Stability is a key property of dynamical systems. In some cases, we want to change unstable system into stable one to achieve certain goals in engineering. Here, we present an example of a $3$ dimensional switched system that alternates…

Dynamical Systems · Mathematics 2021-10-20 Yuyi Zhang , Yao Guo