The Letov Formula for Bounded Real Systems
ABSTRACT The Letov formula allows the computation of closed‐loop poles in the classical linear quadratic regulator context. In this paper, a similar formula is proposed to compute, directly from the transfer function of a bounded real system, the closed‐loop poles of the system under a suitable performance index. Moreover, the presented result allows both to directly verify whether an asymptotically stable system is BR and, if not, to compute its norm.
Authors
- Adriano Scibilia (ORCID: https://orcid.org/0000-0002-1521-2108)
- Luigi Fortuna (ORCID: https://orcid.org/0000-0003-2285-2979)
- Giovanni Garraffa (ORCID: https://orcid.org/0000-0002-5759-3332)
Institutions
- Università degli Studi di Enna Kore (IT)
- University of Catania (IT)
- National Research Council (IT)
Publication Details
- Journal
- International Journal of Circuit Theory and Applications
- Published
- 2025-12-05
- DOI
- https://doi.org/10.1002/cta.70252
- Primary Topic
- Stability and Control of Uncertain Systems
- Type
- article
- Field-Weighted Citation Impact
- 0.00