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DOI: 10.23952/cot.2023.10
Received August 26, 2022; Accepted November 16, 2022; Published March 2, 2023
Abstract. In this paper, on the basis of quasiderivatives, we consider the state observation and estimation problems for linear time-varying systems of ordinary differential equations. The quasiderivatives are defined for some lower triangular matrix, and the simplest rules of the quasidifferentiation are described. The conditions for linear independence of continuous quasidifferentiable functions are established in terms of the Wronski matrix. The method for constructing state estimators for linear time-varying systems based on the quasidifferentiability of the coefficients is proposed. For uniformly observable systems with quasidifferentiable coefficients, we obtain conditions for the existence of an exponential observer and describe a constructive method for designing such observers.
How to Cite this Article:
A.I. Astrovskii, Observes for linear time-varying systems with quasiderivative coefficients, Commun. Optim. Theory 2023 (2023) 10.