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We propose a SCHMM LMPC framework, integrating Semi Continuous Hidden Markov Models with Lyapunov based Model Predictive Control, for distributed optimal control of multi agent systems under network imperfections. The SCHMM captures the…

Optimization and Control · Mathematics 2025-12-04 Loaie Solyman , Aamir Ahmad , Ayman El-Badawy

We consider a general class of mean field control problems described by stochastic delayed differential equations of McKean-Vlasov type. Two numerical algorithms are provided based on deep learning techniques, one is to directly…

Optimization and Control · Mathematics 2019-10-10 Jean-Pierre Fouque , Zhaoyu Zhang

Recent interest in networked control systems (NCS) has instigated research in various areas of both communication networks and control. The analysis of NCS has often been performed either from the network, or the control point of view and…

Networking and Internet Architecture · Computer Science 2016-08-16 Jean-Philippe Georges , Nikolai Vatanski , Eric Rondeau , Sirkka-Liisa Jämsä Jounela

This paper focuses on consensus problems for high-order, linear multi-agent systems. Undirected communication topologies and fixed, uniform communication time delay are taken into account. This class of problems has been widely study in the…

Optimization and Control · Mathematics 2016-05-06 Rudy Cepeda-Gomez

It is known that state-dependent, multi-step Lyapunov bounds lead to greatly simplified verification theorems for stability for large classes of Markov chain models. This is one component of the "fluid model" approach to stability of…

Optimization and Control · Mathematics 2012-05-18 Serdar Yüksel , Sean P. Meyn

This paper studies the stability of synchronized states in networks where couplings between nodes are characterized by some distributed time delay, and develops a generalized master stability function approach. Using a generic example of…

Chaotic Dynamics · Physics 2014-10-28 Y. N. Kyrychko , K. B. Blyuss , E. Schoell

A networked control system (NCS) consisting of cascaded two-port communication channels between the plant and controller is modeled and analyzed. Towards this end, the robust stability of a standard closed-loop system in the presence of…

Systems and Control · Computer Science 2017-09-19 Di Zhao , Sei Zhen Khong , Li Qiu

In the operation of networked control systems, where multiple processes share a resource-limited and time-varying cost-sensitive network, communication delay is inevitable and primarily influenced by, first, the control systems deploying…

Systems and Control · Electrical Eng. & Systems 2020-07-16 Mohammad H. Mamduhi , Dipankar Maity , Sandra Hirche , John S. Baras , Karl H. Johansson

This paper studies the robustness of a PDE backstepping delay-compensated boundary controller for a reaction-diffusion partial differential equation (PDE) with respect to a nominal delay subject to stochastic error disturbance. The…

Optimization and Control · Mathematics 2024-01-22 Dandan Guan , Jie Qi , Mamadou Diagne

We study the time-inconsistent linear quadratic optimal control problem for forward-backward stochastic differential equations with potentially indefinite cost weighting matrices for both the state and the control variables. Our research…

Optimization and Control · Mathematics 2023-12-15 Qi Lü , Bowen Ma

In this paper, we consider the second-order consensus problem for networked mechanical systems subjected to nonuniform communication delays, and the mechanical systems are assumed to interact on a general directed topology. We propose an…

Systems and Control · Computer Science 2014-03-03 Hanlei Wang , Long Cheng

Networked Control Systems (NCSs) often suffer from random packet dropouts which deteriorate overall system's stability and performance. To handle the ill effects of random packet losses in feedback control systems, closed over communication…

Optimization and Control · Mathematics 2013-01-08 Sourav Das , Saptarshi Das , Indranil Pan

Networked control systems are closed-loop feedback control systems containing system components that may be distributed geographically in different locations and interconnected via a communication network such as the Internet. The quality…

Robotics · Computer Science 2023-07-19 Mahsa Noroozi , Kai Wang

Delayed loss spikes have been reported in neural-network training, but existing theory mainly explains earlier non-monotone behavior caused by overly large fixed learning rates. We study one stylized hypothesis: normalization can postpone…

Machine Learning · Statistics 2026-04-21 Peifeng Gao , Wenyi Fang , Yang Zheng , Difan Zou

We study the effects of nonzero time delays in stochastic synchronization problems with linear couplings in complex networks. We consider two types of time delays: transmission delays between interacting nodes and local delays at each node…

Statistical Mechanics · Physics 2012-12-03 D. Hunt , B. K. Szymanski , G. Korniss

A Discrete-Time Linear Complementarity System (DLCS) is a dynamical system in discrete time whose state evolution is governed by linear dynamics in states and algebraic variables that solve a Linear Complementarity Problem (LCP). The DLCS…

Optimization and Control · Mathematics 2023-12-29 Arvind U. Raghunathan , Jeffrey T. Linderoth

We study a discrete time queueing system where deterministic arrivals have i.i.d. exponential delays $\xi_{i}$. The standard deviation $\sigma$ of the delay is finite, but its value is much larger than the deterministic unit service time.…

Probability · Mathematics 2017-01-02 Carlo Lancia , Gianluca Guadagni , Sokol Ndreca , Benedetto Scoppola

In this paper, the problem of non-fragile finite-time stabilization for linear discrete mean-field stochastic systems is studied. The uncertain characteristics in control parameters are assumed to be random satisfying the Bernoulli…

Optimization and Control · Mathematics 2023-01-24 Tianliang Zhang , Feiqi Deng , Peng Shi

Motivated by novel results in the theory of network synchronization, we analyze the effects of nonzero time delays in stochastic synchronization problems with linear couplings in an arbitrary network. We determine {\it analytically} the…

Cellular Automata and Lattice Gases · Physics 2015-05-19 Shahar Hod

In this paper, the design of the optimal decentralized state-feedback controllers is considered for a wireless sensor and actuator network (WSAN) with stochastic network-induced delays and packet losses. In particular, taking advantage of…

Systems and Control · Computer Science 2014-10-20 Zhuwei Wang , Xiaodong Wang , Lihan Liu