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The linear switching system is a system of ODE with the time-dependent matrix taking values from a given control matrix set. The system is (asymptotically) stable if all its trajectories tend to zero for every control function. We consider…

Optimization and Control · Mathematics 2022-09-27 Rinat Kamalov , Vladimir Yu. Protasov

We present a procedure for reducing the number of continuous states of discrete-time linear switched systems, such that the reduced system has the same behavior as the original system for a subset of switching sequences. The proposed method…

Systems and Control · Computer Science 2014-09-12 Mert Bastug , Mihaly Petreczky , Rafael Wisniewski , John Leth

The key challenges in design of predictor-based control laws for switched systems with arbitrary switching and long input delay are the potential unavailability of the future values of the switching signal (at current time) and the fact…

Systems and Control · Electrical Eng. & Systems 2025-03-20 Andreas Katsanikakis , Nikolaos Bekiaris-Liberis

As the proportion of converter-interfaced renewable energy resources in the power system is increasing, the strength of the power grid at the connection point of wind turbine generators (WTGs) is gradually weakening. Existing research has…

Systems and Control · Electrical Eng. & Systems 2023-06-13 Mohammad Kazem Bakhshizadeh , Sujay Ghosh , Guangya Yang , Łukasz Kocewiak

This article treats global uniform exponential stability (GUES) of discrete-time switched linear systems under restricted switching. Given admissible minimum and maximum dwell times, we provide sufficient conditions on the subsystems under…

Systems and Control · Computer Science 2020-05-18 Atreyee Kundu , Debasish Chatterjee

Motivated by recent applications in control theory, we study the feedback stabilizability of switched systems, where one is allowed to chose the switching signal as a function of $x(t)$ in order to stabilize the system. We propose new…

Optimization and Control · Mathematics 2016-08-30 Raphaël M. Jungers , Paolo Mason

This paper discusses the asymptotic periodic behavior of a class of switched discrete event systems, and shows how to evaluate the asymptotic performance of such systems.

Optimization and Control · Mathematics 2007-05-23 Long Wang

Prediction-based transformation is applied to control-affine systems with distributed input delays. Transformed system state is calculated as a prediction of the system's future response to the past input with future input set to zero.…

Optimization and Control · Mathematics 2016-01-05 Anton Ponomarev

This paper proposes a composite adaptive control architecture using dual adaptation scheme for dynamical systems comprising time-varying uncertain parameters. While majority of the adaptive control schemes in literature address the case of…

Systems and Control · Electrical Eng. & Systems 2022-06-06 Raghavv Goel , Sayan Basu Roy

In the paper we study continuous time controlled Markov processes using discrete time controlled Markov processes. We consider long run functionals: average reward per unit time or long run risk sensitive functional. We also investigate…

Optimization and Control · Mathematics 2025-08-12 Lukasz Stettner

Switched affine systems are often used to model and control complex dynamical systems that operate in multiple modes. However, uncertainties in the system matrices can challenge their stability and performance. This paper introduces a new…

Systems and Control · Electrical Eng. & Systems 2025-05-13 Negar Monir , Mahdieh S. Sadabadi , Sadegh Soudjani

This paper deals with classes of (de)stabilizing switching signals for switched systems. Most of the available conditions for stability of switched systems are sufficient in nature, and consequently, their violation does not conclude…

Systems and Control · Electrical Eng. & Systems 2020-05-17 Atreyee Kundu

The paper formulates the concept of persistence of excitation for discrete-time linear switched systems, and provides sufficient conditions for an input signal to be persistently exciting. Persistence of excitation is formulated as a…

Optimization and Control · Mathematics 2011-03-08 Mihaly Petreczky , Laurent Bako

Switching control strategies that unite a potentially high-performance but uncertified controller and a stabilizing albeit conservative controller are shown to be able to balance safety with efficiency, but have been less studied under…

Systems and Control · Electrical Eng. & Systems 2023-03-28 Yiwen Lu , Yilin Mo

This paper considers the stabilization of unknown switched linear systems using data. Instead of a full system model, we have access to a finite number of trajectories of each of the different modes prior to the online operation of the…

Optimization and Control · Mathematics 2024-07-29 Jaap Eising , Shenyu Liu , Sonia Martinez , Jorge Cortes

This paper introduce the notion of output contraction that expands the contraction notion to the time-varying nonlinear systems with output. It pertains to the systems' property that any pair of outputs from the system converge to each…

Systems and Control · Electrical Eng. & Systems 2023-12-12 Hao Yin , Bayu Jayawardhana , Stephan Trenn

We present a new approach for constructing polytope Lyapunov functions for continuous-time linear switching systems (LSS). This allows us to decide the stability of LSS and to compute the Lyapunov exponent with a good precision in…

Dynamical Systems · Mathematics 2014-06-24 Nicola Guglielmi , Linda Laglia , Vladimir Protasov

We present a stability analysis framework for the general class of discrete-time linear switching systems for which the switching sequences belong to a regular language. They admit arbitrary switching systems as special cases. Using recent…

Dynamical Systems · Mathematics 2014-11-17 Matthew Philippe , Raphaël M. Jungers

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

This paper considers discrete-time switched systems under dwell-time switching and in the presence of saturation nonlinearity. Based on Multiple Lyapunov Functions and using polytopic representation of nested saturation functions, a…

Dynamical Systems · Mathematics 2014-11-07 Masood Dehghan
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