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The Lyapunov-Krasovskii Based Stability Analysis of Time-Delayed Control

  • Spandan RoyEmail author
  • Indra Narayan Kar
Chapter
  • 203 Downloads
Part of the Studies in Systems, Decision and Control book series (SSDC, volume 257)

Abstract

In Chap.  2, a new stability result for time-delayed control (TDC) was derived which was later utilized in Chap.  3 to formulate the adaptive-robust TDC (ARTDC). Thereafter, a new TDC scheme (POTDC) based on only position feedback and its adaptive-robust counterpart (ARPOTDC) were derived in Chap.  4 for Euler-Lagrange (EL) systems. All those derivations were carried out based on the Lyapunov-Razumikhon condition. However, as mentioned in Chap.  1, this is one of the two possible methods of time delay based stability analysis, while the other being Lyapunov-Krasovskii (LK) method. Therefore, in view of providing a complete study in this book, various LK-based stability results for the controllers presented in the earlier chapters are derived here.

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Copyright information

© Springer Nature Singapore Pte Ltd. 2020

Authors and Affiliations

  1. 1.Robotics Research CenterInternational Institute of Information TechnologyHyderabadIndia
  2. 2.Department of Electrical EngineeringIndian Institute of Technology DelhiNew DelhiIndia

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