Zobrazeno 1 - 10
of 336
pro vyhledávání: '"CAINES, PETER E."'
Transient stability and critical clearing time (CCT) are important concepts in power system protection and control. This paper explores and compares various learning-based methods for predicting CCT under uncertainties arising from renewable generati
Externí odkaz:
http://arxiv.org/abs/2409.02336
Autor:
Dunyak, Alex, Caines, Peter E.
The modelling of linear quadratic Gaussian optimal control problems on large complex networks is intractable computationally. Graphon theory provides an approach to overcome these issues by defining limit objects for infinite sequences of graphs perm
Externí odkaz:
http://arxiv.org/abs/2407.00212
Autor:
Gao, Shuang, Caines, Peter E.
This work connects models for virus spread on networks with their equivalent neural network representations. Based on this connection, we propose a new neural network architecture, called Transmission Neural Networks (TransNNs) where activation funct
Externí odkaz:
http://arxiv.org/abs/2208.03616
An analysis of infinite horizon linear quadratic Gaussian (LQG) Mean Field Games is given within the general framework of Graphon Mean Field Games (GMFG) on dense infinite graphs (or networks) introduced in Caines and Huang (2018). For a class of LQG
Externí odkaz:
http://arxiv.org/abs/2207.11343
In this paper, we investigate the problem of system identification for autonomous Markov jump linear systems (MJS) with complete state observations. We propose switched least squares method for identification of MJS, show that this method is strongly
Externí odkaz:
http://arxiv.org/abs/2112.10753
Publikováno v:
In Systems & Control Letters May 2024 187
This paper establishes unique solvability of a class of Graphon Mean Field Game equations. The special case of a constant graphon yields the result for the Mean Field Game equations.
Comment: 26 pages
Comment: 26 pages
Externí odkaz:
http://arxiv.org/abs/2009.12144
Autor:
Caines, Peter E., Huang, Minyi
Publikováno v:
SIAM Journal on Control and Optimization, vol. 59, no. 6, pp. 4373--4399 (2021)
The emergence of the graphon theory of large networks and their infinite limits has enabled the formulation of a theory of the centralized control of dynamical systems distributed on asymptotically infinite networks (Gao and Caines, IEEE CDC 2017, 20
Externí odkaz:
http://arxiv.org/abs/2008.10216
Publikováno v:
Communications in Information and Systems, vol. 21, no. 3, pp. 341-369, 2021
Linear quadratic graphon field games (LQ-GFGs) are defined to be LQ games which involve a large number of agents that are weakly coupled via a weighted undirected graph on which each node represents an agent. The links of the graph correspond to coup
Externí odkaz:
http://arxiv.org/abs/2006.03964
This paper studies approximate solutions to large-scale linear quadratic stochastic games with homogeneous nodal dynamics parameters and heterogeneous network couplings within the graphon mean field game framework in [2]-[4]. A graphon time-varying d
Externí odkaz:
http://arxiv.org/abs/2004.00679