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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Roy, S., Kar, I.N. (2020). The Lyapunov-Krasovskii Based Stability Analysis of Time-Delayed Control. In: Adaptive-Robust Control with Limited Knowledge on Systems Dynamics. Studies in Systems, Decision and Control, vol 257. Springer, Singapore. https://doi.org/10.1007/978-981-15-0640-6_5
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DOI: https://doi.org/10.1007/978-981-15-0640-6_5
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