Showing 2004Show all
3 papers · 1 filter
math.OC2004
Dynamic programming in mixed continuous-discrete time scales
S. A. Belbas
We obtain the dynamic programming equations and optimality conditions akin to Pontryagin's extremum principle for certain mathematical models of hybrid control systems.
math.DS2004
New hysteresis operators with applications to counterterrorism
S. A. Belbas
We define two models of hysteresis that generalize the Preisach model. The first model is deterministic, the second model is stochastic and it utilizes disconinuous transition prob…
math.OC2004
Optimal Control of Volterra Equations with Impulses
S. A. Belbas, W. H. Schmidt
We consider an optimal control problem for a system governed by a Volterra integral equation with impulsive terms. The impulses act on both the state and the control; the control c…