There has been a considerable body of work for finding trading strategies that minimize the slippage wrt arrival price. For instance, the following are on of the most well known papers:
 Robert Almgren, Neil Chriss, "Optimal execution of portfolio transactions"
 Robert Almgren, "Optimal execution with nonlinear impact functions and trading-enhanced risk"
 Mauricio Labadie, Charles-Albert Lehalle, "Optimal trading algorithms and self-similar processes: a p-variation approach"
One criticism I have for these papers is the optimal trading quantities are independent on the price realization. More precisely, the number of shares to trade at time $t$ do not depends on the price I can observe at that moment which is an important piece of information.
Is there any academic work where the price realization is incorporated in the decision process?