ISSN:
1435-568X
Keywords:
Impulsive control
;
Piecewise-deterministic processes
;
Quasi-variational inequality
;
Viscosity solutions
;
Ergodic stochastic control
Source:
Springer Online Journal Archives 1860-2000
Topics:
Electrical Engineering, Measurement and Control Technology
,
Mathematics
,
Technology
Notes:
Abstract In this paper we formulate new general optimality conditions for impulsive control of piecewise-deterministic processes. We prove continuity of the value functions for optimal stopping, discounted impulsive control, and impulsive control with long run average cost. We study conditions for optimal and nearly optimal policies for the corresponding impulsive control problems. We give variational formulations of the optimality conditions.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01215846
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