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This paper focuses on the dynamical properties of delayed complex balanced systems. We first study the relationship between the stoichiometric compatibility classes of delayed and non-delayed systems. Using this relation we give another way…

Dynamical Systems · Mathematics 2024-03-14 Xiaoyu Zhang , Tian Zhang , Chuanhou Gao

The stability problem of a class of nonlinear switched systems defined on compact sets with state-dependent switching is considered. Instead of the Caratheodory solutions, the general Filippov solutions are studied. This encapsulates…

Optimization and Control · Mathematics 2017-07-31 Mohamadreza Ahmadi , Hamed Mojallali , Rafael Wisniewski

The design of decision and control strategies for switched systems typically requires complete knowledge of (i) mathematical models of the subsystems and (ii) restrictions on admissible switches between the subsystems. We propose an active…

Systems and Control · Electrical Eng. & Systems 2021-11-11 Atreyee Kundu

We consider the problem of achieving prescribed-time stability (PT-S) in a class of hybrid dynamical systems that incorporate switching nonlinear dynamics, exogenous inputs, and resets. By "prescribed-time stability", we refer to the…

Optimization and Control · Mathematics 2023-09-01 Daniel E. Ochoa , Nicolas Espitia , Jorge I. Poveda

An alternative approach for minimum and mode-dependent dwell-time characterization for switched systems is derived. The proposed technique is related to Lyapunov looped-functionals, a new type of functionals leading to stability conditions…

Optimization and Control · Mathematics 2012-09-05 Corentin Briat , Alexandre Seuret

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

In this paper, we study the problem of stabilizing switched linear systems when only limited information about the state and the mode of the system is available, which occurs in many applications involving networked switched systems (such…

Optimization and Control · Mathematics 2020-09-11 Guillaume O. Berger , Raphaël M. Jungers

In this paper, we consider the stability analysis of large-scale distributed networked control systems with random communication delays between linearly interconnected subsystems. The stability analysis is performed in the Markov jump…

Systems and Control · Computer Science 2015-11-13 Kooktae Lee , Raktim Bhattacharya

We consider bounded extremum seeking controls for time-varying linear systems with uncertain coefficient matrices and measurement uncertainty. Using a new change of variables, Lyapunov functions, and a comparison principle, we provide…

Optimization and Control · Mathematics 2025-01-20 Frederic Mazenc , Michael Malisoff , Emilia Fridman

This paper proposes a unified approach for studying global exponential stability of a general class of switched systems described by time-varying nonlinear functional differential equations. Some new delay-independent criteria of global…

Dynamical Systems · Mathematics 2021-09-16 Nguyen Khoa Son , Le Van Ngoc

We present a data-driven model predictive control scheme for chance-constrained Markovian switching systems with unknown switching probabilities. Using samples of the underlying Markov chain, ambiguity sets of transition probabilities are…

Optimization and Control · Mathematics 2020-10-02 Mathijs Schuurmans , Panagiotis Patrinos

In this paper, we investigate the problem of unified prescribed performance tracking for a class of non-square strict-feedback nonlinear systems under relaxed controllability conditions. By using a skillful matrix decomposition and…

Systems and Control · Electrical Eng. & Systems 2025-08-15 Bing Zhou , Kai Zhao , Yongduan Song , Zhen Chen

We consider switched systems on Banach and Hilbert spaces governed by strongly continuous one-parameter semigroups of linear evolution operators. We provide necessary and sufficient conditions for their global exponential stability, uniform…

Optimization and Control · Mathematics 2012-11-26 Falk Hante , Mario Sigalotti

In this paper we consider the problem of determining the stability properties, and in particular assessing the exponential stability, of a singularly perturbed linear switching system. One of the challenges of this problem arises from the…

Dynamical Systems · Mathematics 2022-05-17 Yacine Chitour , Ihab Haidar , Paolo Mason , Mario Sigalotti

We study incremental stability and convergence of switched (bimodal) Filippov systems via contraction analysis. In particular, by using results on regularization of switched dynamical systems, we derive sufficient conditions for convergence…

Systems and Control · Computer Science 2020-03-18 Mario di Bernardo , Davide Fiore , S. John Hogan

In this paper, we study the problem of control of discrete-time linear time varying systems over uncertain channels. The uncertainty in the channels is modeled as a stochastic random variable. We use exponential mean square stability of the…

Optimization and Control · Mathematics 2014-09-01 Amit Diwadkar , Umesh Vaidya

Three similar convergence notions are considered. Two of them are the long established notions of convergent dynamics and incremental stability. The other is the more recent notion of contraction analysis. All three convergence notions…

Optimization and Control · Mathematics 2018-11-06 Duc N. Tran , Björn S. Rüffer , Christopher M. Kellett

This paper deals with the analysis of input/output-to-state stability (IOSS) and construction of state-norm estimators for continuous-time switched nonlinear systems under restricted switching. Our contributions are twofold. First, given a…

Optimization and Control · Mathematics 2024-04-25 Atreyee Kundu

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

We present a new data-driven method to provide probabilistic stability guarantees for black-box switched linear systems. By sampling a finite number of observations of trajectories, we construct approximate Lyapunov functions and deduce the…

Optimization and Control · Mathematics 2021-05-04 Anne Rubbens , Zheming Wang , Raphaël M. Jungers