The Royal Academy Exhibition

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The Royal Swedish Academy of Sciences

We derive a number of equivalent conditions for a linear system to be energy preserving and hence, in particular, well-posed. Similarly, we derive equivalent conditions for a system to be conservative, which means that both the system and its dual are energy preserving. For systems whose control operator is one-to-one and whose observation operator has dense range, the equivalent conditions for...

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ژورنال

عنوان ژورنال: Nature

سال: 1935

ISSN: 0028-0836,1476-4687

DOI: 10.1038/135780a0