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math.OC2003★ 1 cited
Local Stable Manifold for the Bidirectional Discrete-Time Dynamics
Carmeliza Navasca
We show the existence of a local stable manifold for a bidirectional discrete-time nondiffeomorphic nonlinear Hamiltonian dynamics. This is the case where zero is a closed loop eig…
math.OC2002★ 13 cited
Local Solutions of the Dynamic Programming Equations and the Hamilton Jacobi Bellman PDE
Carmeliza Luna Navasca
We present methods for locally solving the Dynamic Programming Equations (DPE) and the Hamilton Jacobi Bellman (HJB) PDE that arise in the infinite horizon optimal control problem.…