Olga Tsekhan, Robust sufficient conditions for the observability of a linear time-invariant singularly perturbed system with delay, Vol. 2023 (2023), Article ID 24, pp. 1-10

Full Text: PDF
DOI: 10.23952/cot.2023.24

Received August 31, 2022; Accepted December 3, 2022; Published May 24, 2023

 

Abstract. In this paper, a singularly perturbed linear time-invariant system with a small parameter multilpying a part of the derivatives in the system and with a constant delay in the state (SPLTISD) is considered. On the basis of decomposition by means of linear non-degenerate change of variables the independent of the parameter sufficient rank type conditions of spectral observability of SPLTISD, which are valid for all sufficiently small values of the parameter, are proved.

 

How to Cite this Article:
O. Tsekhan, Robust sufficient conditions for the observability of a linear time-invariant singularly perturbed system with delay, Commun. Optim. Theory 2023 (2023) 24.