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We study asymptotic stability of continuous-time systems with mode-dependent guaranteed dwell time. These systems are reformulated as special cases of a general class of mixed (discrete-continuous) linear switching systems on graphs, in…

Dynamical Systems · Mathematics 2019-12-24 Yacine Chitour , Nicola Guglielmi , Mario Sigalotti , Vladimir Protasov

We consider a wireless network where each flow (instead of each link) runs its own CSMA (Carrier Sense Multiple Access) algorithm. Specifically, each flow attempts to access the radio channel after some random time and transmits a packet if…

Performance · Computer Science 2011-02-23 T. Bonald , M. Feuillet

We study discrete time linear constrained switching systems with additive disturbances, in which the switching may be on the system matrices, the disturbance sets, the state constraint sets or a combination of the above. In our general…

Systems and Control · Computer Science 2017-02-03 Nikolaos Athanasopoulos , Konstantinos Smpoukis , Raphael M. Jungers

The paper is concerned with asymptotic stability properties of linear switched systems. Under the hypothesis that all the subsystems share a non strict quadratic Lyapunov function, we provide a large class of switching signals for which a…

Optimization and Control · Mathematics 2012-10-09 Moussa Balde , Philippe Jouan

In this paper, we consider the problem of energy efficient uplink scheduling with delay constraint for a multi-user wireless system. We address this problem within the framework of constrained Markov decision processes (CMDPs) wherein one…

Networking and Internet Architecture · Computer Science 2009-08-25 Nitin Salodkar , Abhay Karandikar , V. S. Borkar

We study singularly perturbed systems that exhibit input-to-state stability (ISS) with fixed-time properties in the presence of bounded disturbances. In these systems, solutions converge to the origin within a time frame independent of…

Systems and Control · Electrical Eng. & Systems 2025-12-01 Michael Tang , Miroslav Krstic , Jorge Poveda

This paper deals with input/output-to-state stability (IOSS) of switched nonlinear systems whose switching signals obey pre-specified restrictions on admissible switches between the subsystems and admissible dwell times on the subsystems.…

Systems and Control · Electrical Eng. & Systems 2024-04-04 Atreyee Kundu

This article is concerned with stability analysis and stabilization of randomly switched nonlinear systems. These systems may be regarded as piecewise deterministic stochastic systems: the discrete switches are triggered by a stochastic…

Optimization and Control · Mathematics 2010-09-08 Debasish Chatterjee , Daniel Liberzon

Stability is an important issue in order to characterize the performance of a network, and it has become a major topic of study in the last decade. Roughly speaking, a communication network system is said to be stable if the number of…

Networking and Internet Architecture · Computer Science 2020-05-06 Vicent Cholvi , Paweł Garncarek , Tomasz Jurdzinski , Dariusz R. Kowalski

We address a distributed adaptive control methodology for nonlinear interconnected systems possibly affected by network anomalies. In the framework of adaptive approximation, the distributed controller and parameter estimator are designed…

Systems and Control · Electrical Eng. & Systems 2025-01-08 Youqing Wang , Ying Li , Thomas Parisini , Dong Zhao

In this paper we provide a set of stability conditions for linear time-varying networked control systems with arbitrary topologies using a piecewise quadratic switching stabilization approach with multiple quadratic Lyapunov functions. We…

Optimization and Control · Mathematics 2018-04-04 Mohammad Razeghi-Jahromi , Saeed Manaffam , Alireza Seyedi , Azadeh Vosoughi

We consider distributed average consensus in a wireless network with partial communication to reduce the number of transmissions in every iteration/round. Considering the broadcast nature of wireless channels, we propose a probabilistic…

Multiagent Systems · Computer Science 2023-01-30 Daniel Pérez Herrera , Zheng Chen , Erik G. Larsson

In the conventional information theoretic analysis of multiterminal communication scenarios, it is often assumed that all of the distributed terminals use the communication channel simultaneously. However, in practical wireless…

Information Theory · Computer Science 2019-01-24 Shahram Shahsavari , Farhad Shirani , Elza Erkip

In this article we provide a novel characterization of the proportionally fair bandwidth allocation of network capacities, in terms of the Fenchel--Legendre transform of the network capacity region. We use this characterization to prove…

Probability · Mathematics 2009-09-29 Laurent Massoulié

We study the asymptotic stability properties of nonlinear switched systems under the assumption of the existence of a common weak Lyapunov function. We consider the class of nonchaotic inputs, which generalize the different notions of…

Optimization and Control · Mathematics 2012-10-29 Philippe Jouan , Naciri Saïd

Spatial interference alignment among a finite number of users is proposed as a technique to increase the probability of successful transmission in an interference limited clustered wireless ad hoc network. Using techniques from stochastic…

Information Theory · Computer Science 2010-01-14 R. Tresch , M. Guillaud

To date, there is a need for the development of efficient data and device exchange protocols that this exchange will provide, since standard protocols used in traditional networks can not fully meet the needs of a new type of network. The…

Networking and Internet Architecture · Computer Science 2019-04-04 Maksym Vladymyrenko , Volodymyr Sokolov , Volodymyr Astapenya

The stability of scheduled multiaccess communication with random coding and independent decoding of messages is investigated. The number of messages that may be scheduled for simultaneous transmission is limited to a given maximum value,…

Information Theory · Computer Science 2009-09-29 KCV Kalyanarama Sesha Sayee , Utpal Mukherji

It is by now well-known that wireless networks with file arrivals and departures are stable if one uses alpha-fair congestion control and back-pressure based scheduling and routing. In this paper, we examine whether ?alpha-fair congestion…

Networking and Internet Architecture · Computer Science 2012-09-26 Javad Ghaderi , Tianxiong Ji , R. Srikant

Self-similarity of systems is very popular and intensively developing field during last decades. To this field belong so-called stable distributions and their generalization. In Klebanov and Sl\'amov\'a (2014) there was given an approach to…

Probability · Mathematics 2014-08-19 Lev B. Klebanov , Lenka Slámová , Ashot Kakosyan , Gregory Temnov