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Minimization of the base transit time in semiconductor devices using optimal control

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  • We consider the problem of determining the optimal profile of doping concentration that minimizes the base transit time in homojunction bipolar transistors. This is a well-studied problem in the electronics literature, but typically only numerical optimization is used to find solutions. In this paper we give an explicit analytic solution to the problem using the Pontryagin Maximum Principle with state-space constraints and prove its optimality using synthesis type arguments.
    Mathematics Subject Classification: Primary: 49K15,49L20; Secondary: 93B50.


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