There have been many papers suggesting that the parameter of generalized uncertainty principle should be negative rather than positive in some specific scenarios, and can remove minimum length. However, length is a model-independent feature quantum gravity it not affected by scenarios. In order to solve this contradiction, we derive new reflect fixed unified both cases parameters.

A minimum principle for stochastic control problems with output feedback is derived by applying Bismut’s minimum principle for stochastic control problems with full information about the past to the Kushner-Stratonovitch equation describing the controlled evolution of the conditional density of the state. The well-known solution of the linear-quadratic Gaussian problem is obtained from the prin...

We present a probabilistic formulation of risk aware optimal control problems for stochastic differential equations. Risk awareness is in our framework captured by objective functions which the neutral expectation replaced function, nonlinear functional random variables that accounts controller's preferences. state and prove minimum principle gives necessary sufficient conditions optimality gen...

Abstract In this paper, we discussed a stochastic optimal control of hepatitis C that minimizes the side effect and reduces viral load. The variables represent drug therapy used for blocking new infection virus production. solution problem is solved using minimum principle four-step scheme. numerical simulation carried out to justify theoretical analysis. result shows both types drugs much more...