Efficiently computing the cyclic output-to-output gain
Abstract
The cyclic output-to-output gain is a security metric for control systems. Commonly, it is computed by solving a semi-definite program, which scales badly and inhibits its use for large-scale systems. We propose a method for computing the cyclic output-to-output gain using Hamiltonian matrices, similar to existing methods for the H ∞ -norm. In contrast to existing methods for the H ∞ -norm, the proposed method considers generalized singular values rather than regular singular values. Moreover, to ensure existence of the Hamiltonian matrices, we introduce a regularized version of the cyclic output-to-output gain. Through numerical experiments, we show that the proposed method is more efficient, scalable, and reliable than semi-definite programming approaches.
Fields of Study & Subjects
Low-power high-performance VLSI design
Advanced Memory and Neural Computing
Analog and Mixed-Signal Circuit Design
Publication details
- Journal / source
- Systems & Control Letters
- Publisher
- Elsevier BV
- Volume
- 213
- Pages
- 106430–106430
- Publication date
- 31 March 2026
- Language
- EN