Geodesic
Robust sufficient conditions for uniform observability of a linear nonstationary singularly perturbed system
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Differential Equations and Mathematical Physics, Tome 226 (2023), pp. 150-164

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For a linear nonstationary singularly perturbed system with small coefficients of higher derivatives, we examine the property of uniform observability, which characterizes the possibility of uniquely determining the state of the system at any time $t$ by the values of the output function and its derivatives up to a certain order only at the point $t$, as well as the property of approximative observability, which means the possibility of accurate estimating the current state of the system without differentiating the output function using $\delta$-sequences.
Keywords: singularly perturbed system, nonstationary system, uniform observability, approximate observability, splitting transformation, robust sufficient conditions. 
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     author = {O. B. Tsekhan},
     title = {Robust sufficient conditions for uniform observability of a linear nonstationary singularly perturbed system},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {150--164},
     publisher = {mathdoc},
     volume = {226},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2023_226_a14/}
}
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O. B. Tsekhan. Robust sufficient conditions for uniform observability of a linear nonstationary singularly perturbed system. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Differential Equations and Mathematical Physics, Tome 226 (2023), pp. 150-164. http://geodesic.mathdoc.fr/item/INTO_2023_226_a14/