# Transversality condition

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In [optimal control theory](/source/optimal_control_theory), a '''transversality condition''' is a [boundary condition](/source/Boundary_value_problem) for the terminal values of the [costate variables](/source/costate_equation). They are one of the [necessary condition](/source/necessary_condition)s for optimality infinite-horizon [optimal control](/source/optimal_control) problems without an endpoint [constraint](/source/Constraint_(mathematics)) on the [state variable](/source/state_variable)s.

== See also ==
* [Pontryagin's maximum principle](/source/Pontryagin's_maximum_principle)

== Further reading ==
* {{cite book |first1=Brian |last1=Beavis |first2=Ian |last2=Dobbs |title=Optimisation and Stability Theory for Economic Analysis |location=New York |publisher=Cambridge University Press |year=1990 |isbn=0-521-33605-8 |pages=252–259 |chapter=Variable Endpoints and Transversality Conditions |chapter-url=https://books.google.com/books?id=L7HMACFgnXMC&pg=PA252 }}
* {{cite book |first1=Daniel |last1=Léonard |first2=Ngo Van |last2=Long |title=Optimal Control Theory : Static Optimization in Economics |location=New York |publisher=Cambridge University Press |year=1992 |isbn=0-521-33746-1 |chapter=Endpoint Constraints and Transversality Conditions |pages=221–262 |chapter-url=https://books.google.com/books?id=gSHxK5Cq4BgC&pg=PA221 }}

Category:Boundary conditions
Category:Optimal control

{{applied-math-stub}}

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