Anisotropy-Based Bounded Real Lemma for Multiplicative Noise Systems: the Finite Horizon Case

Belov, Ivan R.; Yurchenkov, Alexander V.; Kustov, Arkadiy Yu.

doi:10.1109/med.2019.8798565

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Lemma 1 ([16]1

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Cited by 18 publications

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“…If the obtained system of inequalities ( 11)-( 14), (19), and (20) has a solution, then the estimator (16) designed for system (4) satisfies the condition of suboptimality in the sense of the anisotropic norm. The optimization problem can be stated as follows: γ 2 −→ min over ( 11)-( 14), (19) and (20) w.r.t. R k , R k , X k , X k , η 2 , Ψ k , γ 2 1 , γ 2 2 , τ.…”

Section: Lemma 1 ([16]mentioning

confidence: 99%

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Anisotropy-Based Estimation for Sensor Network with Non-Centered Disturbance

Yurchenkov

Kustov

2023

Intels’22

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Section: Lemma 1 ([16]mentioning

confidence: 99%

“…This kind of system describes financial and population models, mechanical and hybrid systems, sensor networks, etc. The boundedness criterion for the anisotropic norm of a multiplicative noise system is suggested in [19]. After that, the anisotropy-based analysis yields a solution of the estimation problem for time-varying sensor networks.…”

Section: Introductionmentioning

confidence: 99%