Cesar O. Aguilar

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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

  1. 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)
  2. 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 )
  3. C.O. Aguilar and A.D. Lewis, Small-time local controllability of homogeneous sytems, SIAM Journal on Control and Optimization, in press, 2012.
  4. 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
  1. C.O. Aguilar and A.J. Krener, High-order numerical solutions to Bellman's equation of optimal control, Proc. American Control Conference, 2012 , accepted.
  2. 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.
  3. C.O. Aguilar and A.J. Krener, Piecewise smooth solutions to the nonlinear output regulation PDE, Proc. American Control Conference , 2011, pp. 1426-1427.
  4. 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

  1. C.O. Aguilar, A.J. Krener, Numerical solutions to the Hamilton-Jacobi-Bellman equation of optimal regulation, in preparation.
  2. C.O. Aguilar, Computing invariant manifolds in the output regulator problem for high-dimensional periodic exosystems, in preparation.
Tools
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