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 ℋ∞ norm.
Fortuna, L., Garraffa, G., Scibilia, A. (2025). The Letov Formula for Bounded Real Systems. INTERNATIONAL JOURNAL OF CIRCUIT THEORY AND APPLICATIONS, 54(7), 4065-4071 [10.1002/cta.70252].
The Letov Formula for Bounded Real Systems
Fortuna, L.;Garraffa, G.
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2025-12-05
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 ℋ∞ norm.
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