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Instability of feedback systems by orthogonal decomposition of L 2

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2 Author(s)
Takeda, S. ; Mitsubishi Electric Corporation, Amagasaki, Japan ; Bergen, A.R.

A useful method for investigating the L2instability of the feedback interconnection of a linear unstable subsystemGand a nonlinear stable subsystemNis to resolve L2into two orthogonal spaces on the basis of the input-output behavior ofG. This yields insight and permits simple proofs of various instability counterparts to stability theorems.

Published in:

Automatic Control, IEEE Transactions on  (Volume:18 ,  Issue: 6 )