Necessary conditions for optimization in multiparameter discrete systems

Necessary Conditions for Optimization in Multiparameter Discrete Systems

A general first-order dynamic representation for discrete systems with several independent variables is proposed, based on the Dieudonn6-Rashevsky form for partial differential equations. This representation does not restrict consideration to causal systems. A minimum principle for such systems is proved, thus extending results known for discrete-time systems to the case of several independent ...

Necessary Conditions for Discrete Parameter Stochastic Optimization Problems

Necessary conditions for multistationarity in discrete dynamical systems

R. Thomas conjectured, twenty years ago, that the presence of a positive circuit in the interaction graph of a dynamical system is a necessary condition for the presence of several stable states. Recently, E. Remy et al. stated and proved the conjecture for Boolean dynamical systems. Using a similar approach, we generalize the result to discrete dynamical systems, and by focusing on the asynchr...

Some Results on Necessary Conditions for Tow Quasidifferentiable Optimization Problems

Necessary optimality conditions for discrete inclusions

The aim of this paper is to present a short survey of several new results concerning optimization of discrete inclusions. We study an optimization problem given by a discrete inclusion with end point constraints and we present several approaches concerning first and secondorder necessary optimality conditions for this problem.