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Negative Imaginariness Analysis for Systems With Parameter Uncertainties

This article focuses on negative imaginariness analysis of systems with norm‐bounded parameter uncertainties. Necessary and sufficient conditions are, respectively, established to indicate that negative imaginariness of uncertain systems or uncertain… Click to show full abstract

This article focuses on negative imaginariness analysis of systems with norm‐bounded parameter uncertainties. Necessary and sufficient conditions are, respectively, established to indicate that negative imaginariness of uncertain systems or uncertain descriptor systems can be determined by examining the positive real characteristics of a class of systems without any parameter uncertainties. Finally, three numerical examples are presented to demonstrate the main results.

Keywords: parameter uncertainties; analysis systems; negative imaginariness; systems parameter; imaginariness analysis

Journal Title: International Journal of Robust and Nonlinear Control
Year Published: 2025

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