New Lyapunov-Krasovskii Functional for Stability Analysis of Linear Systems with Time-Varying Delay

New Lyapunov-Krasovskii Functional for Stability Analysis of Linear Systems with Time-Varying Delay

This paper focuses on the problem of delay-dependent stability of linear systems with time-varying delay. A new delay-product-type augmented Lyapunov-Krasovskii functional (LKF) is constructed. Based on the LKF and by employing a generalized free-matrix-based integral inequality, less conservative d...

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Veröffentlicht in:Journal of systems science and complexity 2021-04, Vol.34 (2), p.632-641
Hauptverfasser: Lin, Huichao, Zeng, Hongbing, Wang, Wei
Format: Artikel
Sprache:eng
Schlagworte:
Complex Systems
Control
Delay
Linear systems
Mathematics
Mathematics and Statistics
Mathematics of Computing
Operations Research/Decision Theory
Stability analysis
Stability augmentation
Stability criteria
Statistics
Systems Theory
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Beschreibung
Zusammenfassung:This paper focuses on the problem of delay-dependent stability of linear systems with time-varying delay. A new delay-product-type augmented Lyapunov-Krasovskii functional (LKF) is constructed. Based on the LKF and by employing a generalized free-matrix-based integral inequality, less conservative delay-dependent stability criteria are obtained. Finally, two well-known numerical examples are used to confirm the effectiveness and the superiority of the presented stability criteria.
ISSN:1009-6124
1559-7067
DOI:10.1007/s11424-020-9179-8