Given any maximal monotone operator A : D(A) ⊂ H → 2 in a real Hilbert space H with A−1(0) 6= ∅, it is shown that the sequence of proximal iterates xn+1 = (I + γnA)(λnu+ (1− λn)xn + en) converges strongly to the metric projection of u on A−1(0) for (en) bounded, λn ∈ (0, 1) with λn → 1 and γn > 0 with γn → ∞ as n → ∞. In comparison with our previous paper [Optim. Lett. 4 (2010), 635-641], where...

This technical note studies the distributed average tracking problem for multiple time-varying signals with general linear dynamics, whose reference inputs are nonzero and not available to any agent in the network. In distributed fashion, a pair of continuous algorithms with, respectively, static and adaptive coupling strengths are designed. Based on the boundary layer concept, the proposed con...

This paper introduces an optimal tracking controller for robot manipulators with saturation torques. The model is presented as a strict-feedback nonlinear system. Firstly, the position control problem transformed into problem. Subsequently, saturated law designed. determined through solution of Hamilton-Jacobi-Bellman (HJB) equation. We use reinforcement learning algorithm only one neural netwo...