Zobrazeno 1 - 10
of 19
pro vyhledávání: '"Cesar O. Aguilar"'
Publikováno v:
Linear Algebra and its Applications. 588:210-223
The purpose of this paper is to highlight the role played by the anti-regular graph within the class of threshold graphs. Using the fact that every threshold graph contains a maximal anti-regular graph, we show that some known results, and new ones,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a7ac48ee40d33c399a1d6d390a8918d3
https://doi.org/10.1016/j.laa.2019.12.005
https://doi.org/10.1016/j.laa.2019.12.005
Publikováno v:
Linear Algebra and its Applications. 557:84-104
We study the eigenvalues of the unique connected anti-regular graph $A_n$. Using Chebyshev polynomials of the second kind, we obtain a trigonometric equation whose roots are the eigenvalues and perform elementary analysis to obtain an almost complete
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f03a6ee6e6f88ab1281c9d97afb07b84
https://doi.org/10.1016/j.laa.2018.07.028
https://doi.org/10.1016/j.laa.2018.07.028
Autor:
Bahman Gharesifard, Cesar O. Aguilar
Publikováno v:
Automatica. 80:25-31
In this paper, we consider the controllability problem for multi-agent networked control systems. The main results of the paper are new graph-theoretic necessary conditions for controllability involving almost equitable graph vertex partitions. We ge
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e826e8bc24f27c0612f80202d7f8efcf
https://doi.org/10.1016/j.automatica.2017.01.018
https://doi.org/10.1016/j.automatica.2017.01.018
Autor:
Cesar O. Aguilar
In this paper, we present a class of network topologies under which the Laplacian consensus dynamics exhibits undesirable controllability properties under a broadcast control signal. Specifically, the networks we characterize are uncontrollable for a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7d429db7ac126d54a7979e460613f540
http://arxiv.org/abs/1911.06398
http://arxiv.org/abs/1911.06398
Autor:
Cesar O. Aguilar, Bahman Gharesifard
Publikováno v:
IEEE Transactions on Automatic Control. 60:1611-1623
In this paper, we consider the problem of obtaining graph-theoretic characterizations of controllability for the Laplacian-based leader-follower dynamics. Our developments rely on the notion of graph controllability classes, namely, the classes of es
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1c4e01b2cf45fa0d3db4942aeeff238a
https://doi.org/10.1109/tac.2014.2381435
https://doi.org/10.1109/tac.2014.2381435
Autor:
Cesar O. Aguilar, Bahman Gharesifard
Publikováno v:
Linear Algebra and its Applications. 471:575-586
Let G be a graph on n vertices with Laplacian matrix L and let b be a binary vector of length n. The pair ( L , b ) is controllable if the smallest L-invariant subspace containing b is of dimension n. The graph G is called essentially controllable if
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4e464f51cc2eb00de91096871ae464b9
https://doi.org/10.1016/j.laa.2015.01.020
https://doi.org/10.1016/j.laa.2015.01.020
Autor:
Cesar O. Aguilar, Arthur J. Krener
Publikováno v:
Journal of Optimization Theory and Applications. 160:527-552
In this paper, we present a numerical algorithm to compute high-order approximate solutions to Bellman’s dynamic programming equation that arises in the optimal stabilization of discrete-time nonlinear control systems. The method uses a patchy tech
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::24ed05da74ce452261a30598e7f9ca33
https://doi.org/10.1007/s10957-013-0403-8
https://doi.org/10.1007/s10957-013-0403-8
Autor:
Cesar O. Aguilar, Bahman Gharesifard
Publikováno v:
ACC
The main contribution of this paper are two new general necessary conditions for controllability of multi-agent networked control systems involving almost equitable partitions, along with an extension of a well-known symmetry condition to weighted di
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2b0a6c857310d737f5161a2b44bf7307
https://doi.org/10.1109/acc.2016.7524912
https://doi.org/10.1109/acc.2016.7524912
Autor:
Arthur J. Krener, Cesar O. Aguilar
Publikováno v:
International Journal of Robust and Nonlinear Control. 23:1046-1061
The solution to the nonlinear output regulation problem requires one to solve a first order PDE, known as the Francis-Byrnes-Isidori (FBI) equations. In this paper we propose a method to compute approximate solutions to the FBI equations when the zer
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d0e8d09c28a6ec240fe665d0c804d4d7
https://doi.org/10.1002/rnc.2776
https://doi.org/10.1002/rnc.2776
Autor:
Andrew D. Lewis, Cesar O. Aguilar
Publikováno v:
SIAM Journal on Control and Optimization. 50:1502-1517
The article of record as published may be found at: http://dx.doi.org/10.1137/100785892 In this paper we consider the local controllability problem for control-affine systems that are homogeneous with respect to a one-parameter family of dilations co
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d567f9b6a8b8be989a5cf8b2f25d3973
https://doi.org/10.1137/100785892
https://doi.org/10.1137/100785892