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Stability Analysis for Positive Singular Systems With Time-Varying Delays

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This paper is concerned with the stability analysis for continuous-time positive singular systems with time-varying delays. First, an auxiliary system is introduced to establish the positivity condition for singular time-delay… Click to show full abstract

This paper is concerned with the stability analysis for continuous-time positive singular systems with time-varying delays. First, an auxiliary system is introduced to establish the positivity condition for singular time-delay systems. Based on the positivity condition, the stability criterion is obtained for the positive singular systems with constant delays. By analyzing the monotonic property of the system trajectory, we extend the stability condition to the cases with time-varying delays. A numerical simulation is employed to illustrate the effectiveness of our results.

Keywords: positive singular; singular systems; varying delays; time varying; time; stability

Journal Title: IEEE Transactions on Automatic Control
Year Published: 2018

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