Abstract
This paper provides a sufficient condition for an interval Lur’e system to be globally exponentially stable with a damping factor. The Lur’e system consists of an interval linear dynamical system and a sector-bounded memoryless time-varying nonlinear term. The sufficient condition is described by a simple bilinear matrix inequality. The relationship between the stability of symmetric interval matrix and globally exponentially stability of interval Lur’e system is established.
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Sun, J. Robust Stability of Interval Lur’e Systems: A Bilinear Matrix Inequality Approach. In: Tarn, TJ., Zhou, C., Chen, SB. (eds) Robotic Welding, Intelligence and Automation. Lecture Notes in Control and Information Science, vol 299. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-44415-2_24
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DOI: https://doi.org/10.1007/978-3-540-44415-2_24
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-20804-4
Online ISBN: 978-3-540-44415-2
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