Aziza Aib and Naceurdine Bensalem: Optimal Control Problem Governed by an Infinite Dimensional One-Nilpotent Bilinear Systems. p.107-128

Abstract:

The object of this work is to construct an explicit linear operators $B$ which commute with a given linear operator $A$ in infinite dimensional spaces.This construction can be applied to give exact optimal solution for a class of infinite dimensional bilinear systems.

Key Words: Optimal control, bilinear system, nilpotent Lie algebra.

2000 Mathematics Subject Classification: Primary: 49J15;
Secondary: 47A07, 17B30.

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