Cesar O. Aguilar


photo 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, My thesis

Research Interests

Differential equations, control theory, numerical methods for PDEs: controlled differential equations, local controllability, optimal control, output trajectory stabilization, discrete-time systems, Hamilton-Jacobi-Bellman equations, invariant manifolds of ODEs, applications in mechanical and electrical systems, underactuated control systems


Publications

Journal papers

[J1]

C.O. Aguilar and A.J. Krener, Patchy solution of a Francis-Byrnes-Isidori partial differential equation, International Journal of Robust and Nonlinear Control, Vol. 23, No. 9, pp. 1046-1061, 2013. (journal version)

[J2]

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)

[J3]

C.O. Aguilar and A.D. Lewis, Small-time local controllability for a class of homogeneous systems, SIAM Journal on Control and Optimization, Vol. 50, No. 3, pp. 1502-1517, 2012. (journal version)

[J4]

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

[C1]

C.O. Aguilar, Local controllability of control-affine systems with quadratic drift and constant control-input vector fields, Proc. 51th IEEE Conf. Decision and Control, 2012, pp. 1877--1882.

[C2]

C.O. Aguilar and A.J. Krener, High-order numerical solutions to Bellman's equation of optimal control, Proc. American Control Conference, 2012, pp. 1832--1837.

[C3]

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. (proceedings version )

[C4]

C.O. Aguilar and A.J. Krener, Piecewise smooth solutions to the nonlinear output regulation PDE, Proc. American Control Conference , 2011, pp. 1426-1427.

[C5]

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. (proceedings version )

Papers submitted/in preparation

[SP1]

C.O. Aguilar, A.J. Krener, Numerical solutions to the Bellman equation of optimal control, submitted, Journal of Optimization Theory and Applications, 28 pages.

[SP2]

C.O. Aguilar, Computing center manifolds of isochronously forced ODEs, in preparation.