Instability of feedback systems by orthogonal decomposition ofL2
- 1 December 1973
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control
- Vol. 18 (6), 631-636
- https://doi.org/10.1109/tac.1973.1100449
Abstract
A useful method for investigating the L 2 instability of the feedback interconnection of a linear unstable subsystem G and a nonlinear stable subsystem N is to resolve L 2 into two orthogonal spaces on the basis of the input-output behavior of G . This yields insight and permits simple proofs of various instability counterparts to stability theorems.Keywords
This publication has 4 references indexed in Scilit:
- Instability of Nonlinear Infinite-Dimensional Feedback Systems Using Lyapunov FunctionalsSIAM Journal on Control, 1974
- Positivity Conditions and Instability Criteria for Feedback SystemsSIAM Journal on Control, 1974
- On instability of feedback systems with a single nonlinear time-varying gainIEEE Transactions on Automatic Control, 1971
- Stability, Instability, Invertibility and CausalitySIAM Journal on Control, 1969