Novel Stability and Stabilization Conditions of Linear Fractional-order Time-Delay Systems Using Free Matrix Approach
The stability and stabilization problem of linear fractional-order time-delay systems is investigated. By introducing a free matrix, the linear fractional-order time-delay systems is transformed to a delay-free system interconnected with uncertainties. New stability and stabilization criteria are de...
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| Veröffentlicht in: | IEEE transactions on circuits and systems. II, Express briefs Express briefs, 2023-07, Vol.70 (7), p.1-1 |
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| creator | Jin, Xiao-Chuang Lu, Jun-Guo Zhang, Qing-Hao |
| description | The stability and stabilization problem of linear fractional-order time-delay systems is investigated. By introducing a free matrix, the linear fractional-order time-delay systems is transformed to a delay-free system interconnected with uncertainties. New stability and stabilization criteria are derived based on the small gain theorem. The criteria are formulated as linear matrix inequalities and are computationally efficient. Since the free matrix is utilized, the new conditions are less conservative than the existing ones. Two numerical examples indicate that the proposed criteria are less conservative than existing ones. |
| doi_str_mv | 10.1109/TCSII.2023.3237563 |
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| source | IEEE Electronic Library Online |
| subjects | Asymptotic stability Circuit stability Delay-dependent stability Delays fractional-order free matrix Integrated circuit interconnections Interconnected systems Linear matrix inequalities Mathematical analysis Numerical stability Stability criteria Stabilization Time delay systems time-delay system |
| title | Novel Stability and Stabilization Conditions of Linear Fractional-order Time-Delay Systems Using Free Matrix Approach |
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