Cesar O. Aguilar

Current position
National Research Council (NRC) Postdoctoral Fellow
Contact info
Naval Postgraduate School
Department of Applied Mathematics
833 Dyer Rd, Bldg. 232, SP-253A
Monterey, CA 93943-5216
831.656.3247
coaguila at nps.edu
Education
PhD, Applied Mathematics,
Queen's University,
Thesis
Research Interests
Control and dynamical systems theory: controlled differential equations, local controllability, optimal control,
output regulation, discrete-time systems, invariant manifolds of ODEs, Hamilton-Jacobi-Bellman equations
Publications
Published/Accepted
- C.O. Aguilar,
On the existence and uniqueness of solutions to the output
regulation equations for periodic exosystems, Systems and Control Letters ,
Vol. 61, No. 6, pp. 702-706, 2012.
( journal version)
- C.O. Aguilar and A.J. Krener,
Patchy solution of a Francis-Byrnes-Isidori
partial differential equation,
Int. Journal of Robust and Nonlinear Control, in press, 2012.
( journal version )
- C.O. Aguilar and A.D. Lewis,
Small-time local controllability of homogeneous sytems,
SIAM Journal on Control and Optimization, in press, 2012.
- M. Landry, S.A. Campbell, K. Morris, and C.O. Aguilar,
Dynamics of an inverted pendulum with delayed feedback
control, SIAM Journal on Applied Dynamical Systems, Vol. 4, No. 2,
pp. 333-351, 2005. ( journal version )
Refereed conference papers
- C.O. Aguilar and A.J. Krener,
High-order numerical solutions to Bellman's equation of optimal control,
Proc. American Control Conference, 2012 , accepted.
- C.O. Aguilar and A.J. Krener,
Power series solutions to the time-varying dynamic programming equations,
Proc. 50th IEEE Conf. Decision
and Control, 2011, pp. 397--402.
- C.O. Aguilar and A.J. Krener,
Piecewise smooth solutions to the
nonlinear output regulation PDE, Proc. American Control Conference , 2011, pp. 1426-1427.
- C.O. Aguilar and A.D. Lewis,
Jet bundles and
algebro-geometric characterisations for controllability of affine
systems,
Proc. 47th IEEE Conf. Decision and Control, 2008, pp. 1267-1274.
Submitted/In preparation
- C.O. Aguilar, A.J. Krener,
Numerical solutions to the Hamilton-Jacobi-Bellman equation of optimal regulation, in preparation.
- C.O. Aguilar,
Computing invariant manifolds in the output regulator problem
for high-dimensional periodic exosystems, in preparation.
Tools
LaTeX and related tips I find useful
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