Strong D-Stability Analysis of Economic Models

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DOI: https://doi.org/10.28924/2291-8639-23-2025-267
Published: Oct 29, 2025
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Mutti-Ur Rehman, Tulkin Farmanov, Asliddin Abdulloyev, Nigina Odinayeva, Hilola Abdullayeva, S.S. Dexhanov, Strong D-Stability Analysis of Economic Models, Int. J. Anal. Appl., 23 (2025), 267.

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Mutti-Ur Rehman, Tulkin Farmanov, Asliddin Abdulloyev, Nigina Odinayeva, Hilola Abdullayeva, S.S. Dexhanov

Abstract

The analysis of stability ensures that a dynamical system’s output remains bounded for given bounded inputs and manages the system behavior. The concept of strong D-stability extends the idea of stability requiring the system’s poles to stay within a predefined D-region in the complex plane C subject to uncertain parameter variations. This ensures robustness and performance of the dynamical system. We offer some new findings on stability analysis, strong D-stability analysis, and their interconnections with structured singular values. The theoretical findings were gained by using several tools from linear algebra and system theory. The numerical experimentation shows the behavior of the spectrum and hence the stability of dynamical systems. For the computation and analysis of pseudo-spectrum, the Eigtool has been utilized.

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