Optimal control of a class of systems with continuous lags: Dynamic programming approach and economic interpretations

DOI10.1007/BF00934747zbMath0518.49019OpenAlexW3122561049WikidataQ59389978 ScholiaQ59389978MaRDI QIDQ1053979

Suresh P. Sethi, Richard F. Hartl

Publication date: 1984

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00934747

zbMATH Keywords

maximum principleintegro-differential equationsdistributed parameter systemseconomic applicationsdynamic systems with continuous lags

Mathematics Subject Classification ID

Dynamic programming in optimal control and differential games (49L20) Integro-ordinary differential equations (45J05) Dynamic programming (90C39) Economic growth models (91B62) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30) Optimality conditions (49K99)

Related Items (13)

Solutions for a class of optimal control problems with time delay. II ⋮ Solutions for a class of optimal control problems with time delay. I ⋮ Necessary conditions for a weak minimum in a general optimal control problem with integral equations on a variable time interval ⋮ Optimal control of production and marketing systems with distributed time lags ⋮ Cooperative dynamic games with durable controls: theory and application ⋮ Maximum principle for the optimal control of systems with continuous leads ⋮ Cooperative dynamic games with control lags ⋮ Generalized dynamic games with durable strategies under uncertain planning horizon ⋮ On controlled linear diffusions with delay in a model of optimal advertising under uncertainty with memory effects ⋮ Optimal dynamic advertising policies for hereditary processes ⋮ Optimal pricing and production in an inventory model ⋮ An advertising control model of two state variables ⋮ Necessary conditions for a weak minimum in optimal control problems with integral equations on a variable time interval

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