2003, 2003(Special): 742-751. doi: 10.3934/proc.2003.2003.742

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

1. 

Dept. of Systems Science and Mathematics, Washington University, One Brookings Drive, St. Louis, MO 63130, United States

2. 

Dept. of Electrical and Systems Engineering, Washington University, St. Louis, Missouri, 63130-4899

Received  August 2002 Published  April 2003

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.
Citation: Paolo Rinaldi, Heinz Schättler. Minimization of the base transit time in semiconductor devices using optimal control. Conference Publications, 2003, 2003 (Special) : 742-751. doi: 10.3934/proc.2003.2003.742
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