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On the relation between state and adjoint variable initial conditions in optimum control theory
Author(s) -
Latour Pierre R.
Publication year - 1968
Publication title -
the canadian journal of chemical engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.404
H-Index - 67
eISSN - 1939-019X
pISSN - 0008-4034
DOI - 10.1002/cjce.5450460518
Subject(s) - boundary value problem , adjoint equation , relation (database) , mathematics , variable (mathematics) , state variable , control variable , state (computer science) , value (mathematics) , algebraic number , point (geometry) , boundary (topology) , initial value problem , mathematical analysis , mathematical optimization , computer science , differential equation , algorithm , statistics , physics , geometry , thermodynamics , database
The algebraic relation between state and adjoint variable initial conditions for time‐optimum control of a particular second order linear system is reported. The relation between adjoint initial conditions and switching time suggests that difficulties might arise when boundary‐value search methods are employed to solve two‐point boundary‐value problems. These analytical results support the conclusions in a recent paper by Paynter and Bankoff.