Linear Time-Varying Dynamic-Algebraic Equations of Index One on Time Scales
Svetlin G. Georgiev, Sergey Kryzhevich
TL;DR
This paper introduces a class of linear time-varying dynamic-algebraic equations of index one on arbitrary time scales, providing a decoupling procedure and a projector-based proof method.
Contribution
It presents a novel class of LTVDAE of index one on arbitrary time scales and a decoupling procedure using a projector approach.
Findings
Decoupling procedure for LTVDAE of index one
Use of projector approach for proof
Applicable to arbitrary time scales
Abstract
In this paper, we introduce a class of linear time-varying dynamic-algebraic equations(LTVDAE) of tractability index one on arbitrary time scales. We propose a procedure for the decoupling of the considered class LTVDAE. A projector approach is used to prove the main statement of the paper.
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Taxonomy
TopicsNumerical methods for differential equations · Stability and Controllability of Differential Equations · Matrix Theory and Algorithms