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Stability analysis of systems with additive time-varying delays via new bivariate quadratic reciprocally convex inequality

Xiao Ge, Xinzuo Ma, Yuanyuan Zhang, Han Xue, Seakweng Vong

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Source: Crossref

Published: Jan 1, 2024

DOI: 10.3934/math.20241721

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<p>This paper focuses on the stability analysis of additive time-varying delay systems. First, a bivariate quadratic reciprocally convex matrix inequality is derived, which serves as a generalization of traditional reciprocally convex inequalities. By applying the Lyapunov–Krasovskii functional method, this matrix inequality is incorporated to form a new stability criterion applicable to systems with additive time-varying delays. Finally, some numerical examples are presented to demonstrate the effectiveness of the theoretical results obtained.</p>

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Stability analysis of systems with additive time-varying delays via new bivariate quadratic reciprocally convex inequality — Mathematical Frontier Network