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A link between science and applications of automatic control

proceedings of the seventh triennial world congress of the International Federation of Automatic Control, Helsinki, Finland, 12-16 June 1978

(u) are linearly independent for i e I(u) . If the necessary conditions for the
programming problem are applied to the maximization problem (3. 3-1), (3.4-1)
results. Noting that the last three equations (3. 3) and (3. 4) are the same, leads to
Remark 1. If (u, x) satisfies (3. 3), it satisfies (3. 4). This type of result was first
noted by Horn and Lin [1Z] . In most cases (3. 4) is weaker than (3.3). Are there
circumstances where (3. 4-1) can be replaced by (3. 3-1)? An answer to this
question can be ...