A control theoretic approach is presented in this paper for both batch and instantaneous updates of weights in feed-forward neural networks. The popular Hamilton-JacobiBellman (HJB) equation has been used to generate an optimal weight update law. The remarkable contribution in this paper is that closed form solutions for both optimal cost and weight update can be achieved for any feed-forward n...

This paper modifies the classical structural models for credit risk by embedding them into the framework of optimal portfolio problems in an incomplete market. The price of corporate bonds is derived based on the indifference between the investor’s two utility maximization problems. Besides the uncertainty of the firm’s asset value, we introduce another diffusion process, which comes from the f...

Path integral control solves a class of stochastic optimal control problems with a Monte Carlo (MC) method for an associated Hamilton-Jacobi-Bellman (HJB) equation. The MC approach avoids the need for a global grid of the domain of the HJB equation and, therefore, path integral control is in principle applicable to control problems of moderate to large dimension. The class of problems path inte...

Four cyclic nucleotide phosphodiesterase (PDE) activities were separated from low-speed supernatants of homogenates of human cardiac ventricle by DEAE-Sepharose chromatography, and designated PDE I-PDE IV in order of elution with an increasing salt gradient. PDE I was a Ca2+/calmodulin-stimulated activity, and PDE II was an activity with a high Km for cyclic AMP which was stimulated by low conc...

In this paper, an event-triggered Reinforcement Learning (RL) method is proposed for the optimal attitude consensus of multiple rigid body networks with unknown dynamics. Firstly, error constructed through According to Bellman optimality principle, implicit form controller and corresponding Hamilton-Jacobi-Bellman (HJB) equations are obtained. Because augmented system, can be obtained directly ...

1 The aims of the present study were to characterize the cyclic nucleotide phosphodiesterase (PDE) isoenzyme activities present in human bronchi and to examine the ability of selective isoenzyme inhibitors to relax histamine and methacholine precontracted preparations of human bronchi. 2 Three separations of pooled human bronchial tissue samples were performed. Ion-exchange chromatography showe...

Environmental management optimizing a long-run objective is an ergodic control problem whose resolution can be achieved by solving associated non-local Hamilton-Jacobi-Bellman (HJB) equation having effective Hamiltonian. Focusing on sediment storage as modern engineering problem, we formulate, analyze, and compute new under discrete observations: simple but non-trivial mathematical problem. We ...

The effect of selective PDE-I (vinpocetine), PDE-III (milrinone, CI-930), PDE-IV (rolipram, nitroquazone), and PDE-V (zaprinast) isozyme inhibitors on TNF-alpha and IL-1beta production from LPS stimulated human monocytes was investigated. The PDE-IV inhibitors caused a concentration dependent inhibition of TNF-alpha production, but only partially inhibited IL-1beta at high concentrations. High ...

In this paper, the piecewise homotopy perturbation method (PHPM) is employed to solve the Hamilton– Jacobi–Bellman (HJB) equation arising in the optimal control problems. The method is a simple modification of the standard homotopy perturbation method (HPM), in which it is treated as an algorithm in a sequence of small intervals (i.e. time step) for finding accurate approximate solutions to the...