Estimates for solutions of homogeneous time-delay systems: comparison of Lyapunov-Krasovskii and Lyapunov-Razumikhin techniques
In this contribution, the estimates for the response of time-delay systems with nonlinear homogeneous right-hand side of degree strictly greater than one are constructed. The existing results obtained via the Lyapunov--Razumikhin approach are reminded. Their proofs, revisited in the appendix, lead t...
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Published in | International journal of control Vol. 95; no. 11; pp. 3002 - 3011 |
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Main Authors | , , , |
Format | Journal Article |
Language | English |
Published |
Abingdon
Taylor & Francis
02.11.2022
Taylor & Francis Ltd |
Subjects | |
Online Access | Get full text |
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Summary: | In this contribution, the estimates for the response of time-delay systems with nonlinear homogeneous right-hand side of degree strictly greater than one are constructed. The existing results obtained via the Lyapunov--Razumikhin approach are reminded. Their proofs, revisited in the appendix, lead to explicit expressions of the involved constants. Based on a recently introduced Lyapunov-Krasovskii functional and known estimates of the domain of attraction, we present new estimates of the system response. Using the same Lyapunov function in the Lyapunov-Razumikhin approach and in construction of the Lyapunov-Krasovskii functional, we compare both approaches and discuss the illustrative examples. |
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ISSN: | 0020-7179 1366-5820 |
DOI: | 10.1080/00207179.2021.1949045 |