Numerical Solutions to the Bellman Equation of Optimal Control

A Schur method for solving algebraic Riccati equations

Alan J. Laub · IEEE Transactions on Automatic Control · 1979 · 1K citations · Full text

Natural Sciences, Mathematics, Computational Mechanics +16

Optimal infinite-horizon feedback laws for a general class of constrained discrete-time systems: Stability and moving-horizon approximations

S. Sathiya Keerthi, Éric Gilbert · Journal of Optimization Theory and Applications · 1988 · 826 citations · Full text

Natural Sciences, Mathematics, Dynamical Systems +14

Galerkin approximations of the generalized Hamilton-Jacobi-Bellman equation

Randal W. Beard, G.N. Saridis, John T. Wen · Automatica · 1997 · 656 citations

Natural Sciences, Computational Engineering, Mathematics +12

Sufficient conditions for stabilization of sampled-data nonlinear systems via discrete-time approximations

Dragan Nešić, Andrew R. Teel, P.V. Kokotović · Systems & Control Letters · 1999 · 602 citations

Natural Sciences, Mathematics, Systems Engineering +14

Optimal Regulation of Nonlinear Dynamical Systems

D. L. Lukes · SIAM Journal on Control · 1969 · 421 citations

Natural Sciences, Mathematics, Dynamical Systems +16