ON FINITE CHARACTER GEOMETRICAL PROPERTY OF THE DIFFERENTIAL REALIZATION OF NONSTATIONARY HYPERBOLIC SYSTEMS
Keywords:
differential realization, identification of hyperbolic modelDOI:
https://doi.org/10.17654/0974324324010Abstract
Topological-algebraic investigation of the problem of existence of realization of finite-dimensional continuous dynamic processes in the class of second-order ordinary differential equations in a separable Hilbert space has been conducted. Simultaneously, analytical-geometric conditions of continuity of the process of constructing projections for the Rayleigh-Ritz nonlinear functional operator together with computation of the fundamental group of its image have been determined. The results may be applied to a posteriori modeling nonstationary hyperbolic systems.
Received: February 1, 2024
Accepted: March 28, 2024
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