Research output: Contribution to journal › Article › peer-review
A frequency-domain absolute stability conditions for complex-valued Lurie systems with several nonholonomic nonlinearities is given. Graphs of nonlinearities belong to the complex analog of sector. Obtained conditions are sufficient for existence of a Popov-like Lyapunov function from the class "quadratic form plus real part of integral of nonlinearity". Conditions can be viewed as a generalization of Popov criterion to the complex case.
The proof is based on the seminal Kalman-Yakobovich-Popov lemma (KYP-lemma) which also holds for the complex case.
Obtained stability criterion applied to stability analysis of complex-valued convolutional neural network (C) 2017, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.
| Original language | English |
|---|---|
| Pages (from-to) | 8157-8162 |
| Number of pages | 6 |
| Journal | IFAC-PapersOnLine |
| Volume | 50 |
| Issue number | 1 |
| DOIs | |
| State | Published - 2017 |
| Event | 20th World Congress of the International-Federation-of-Automatic-Control (IFAC) - Toulouse, France Duration: 9 Jul 2017 → 14 Jul 2017 |
ID: 37787410