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 |
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
[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) |
[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 ) |
[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. |