The Mathematical Theory of Optimal Processes.

By E. Blum, Boltyanskii, Gamkrelidze, Mishchenko. 1963

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Deep learning in neural networks: An overview (2014, background): “he parameter space of complex, nonlinear, multi-stage, differentiable, NN-related systems has been discussed at least since the early 1960s (e.g., Kelley, 1960; Bryson, 1961; Bryson and Denham, 1961; Pontryagin et al., 1961; Dreyfus, 1962; Wilkinson, 1965; Amari, 1967; Bryson and Ho, 1969; Director ”
Variational calculus on q-nonuniform lattices (2005, background): “Due to similarities with the continuous case [14], one can refer to H and (90)-(91) as q-nonuniform lattices Hamilton-Pontriaguine function and system respectively.”
Variational q-calculus (2004, background): “Recall that the reference to L S Pontriaguine is linked to the ”maximum principle” in [12], the one to Hamilton is linked to the fact that in the case of pure calculus of variation (the control function and system are not present explicitly), the Hamilton and Hamilton-Pontriaguine systems are equiva”
Noether's symmetry Theorem for variational and optimal control problems with time delay (2012, background): “5 (the DuBois–Reymond necessary optimality condition) is generalized to the equality dH dt = ∂H ∂t [19].”
On the Hausdorff volume in sub-Riemannian geometry (2010, background): “The following characterization is a corollary of Pontryagin Maximum Principle (PMP for short, see for instance [6, 15, 29, 37]):”