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- Maria Landry, Sue Ann Campbell, Kirsten Morris, Cesar O. Aguilar
- SIAM J. Applied Dynamical Systems
- 2005

We consider an experimental system consisting of a pendulum, which is free to rotate 360 degrees, attached to a cart. The cart can move in one dimension. We describe a model for this system and useâ€¦ (More)

- Cesar O. Aguilar, Andrew D. Lewis
- SIAM J. Control and Optimization
- 2012

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 corresponding to timescaling in theâ€¦ (More)

- Cesar O. Aguilar, Bahman Gharesifard
- IEEE Transactions on Automatic Control
- 2015

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 graphâ€¦ (More)

- Cesar O. Aguilar, Bahman Gharesifard
- 2014 American Control Conference
- 2014

In this paper, we study the controllability of nonlinear networked systems. In particular, we describe how graph symmetries combined with dynamic symmetries result in a loss of controllability inâ€¦ (More)

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.â€¦ (More)

- Cesar O. Aguilar, Arthur J. Krener
- J. Optimization Theory and Applications
- 2014

In this paper, we present a numerical algorithm to compute high-order approximate solutions to Bellmanâ€™s dynamic programming equation that arises in the optimal stabilization of discrete-timeâ€¦ (More)

- Cesar O. Aguilar, Bahman Gharesifard
- Automatica
- 2017

- Cesar O. Aguilar, Arthur J. Krener
- ArXiv
- 2011

The solution to the nonlinear output regulation problem requires one to solve a first-order partial differential equation, known as the Francisâ€“Byrnesâ€“Isidori equations. In this paper, we propose aâ€¦ (More)

- Cesar O. Aguilar, Bahman Gharesifard
- 53rd IEEE Conference on Decision and Control
- 2014

In this paper, we revisit the controllability problem for the Laplacian based leader-follower dynamics with the aim of addressing some fundamental gaps within the existing literature. We introduce aâ€¦ (More)

- Cesar O. Aguilar, Bahman Gharesifard
- 2016 American Control Conference (ACC)
- 2016

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 anâ€¦ (More)