• Title/Summary/Keyword: Strictly Bounded Real Lemma (SBRL)

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A Study on Robust Stability of Uncertain Linear Systems with Time-delay (시간지연을 갖는 불확정성 선형 시스템의 강인 안정성에 관한 연구)

  • Lee, Hee-Song;Ma, Sam-Sun;Ryu, Jeong-Woong;Kim, Jin-Hoon
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.48 no.5
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    • pp.615-621
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    • 1999
  • In this paper, we consider the robust stability of uncertain linear systems with time-delay in the time domain. The considered uncertainties are both the unstructured uncertainty which is only Known its norm bound and the structured uncertainty which is known its structured. Based on Lyapunov stability theorem and{{{{ { H}_{$\infty$ } }}}} theory known as Strictly Bounded Real Lemma (SBRL), we present new conditions that guarantee the robust stability of system. Also, we extend this to multiple time-varying delays systems and large-scale systems, respectively. Finally, we show the usefulness of our results by numerical examples.

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