Analysis of Polynomial Systems With Time Delays via the Sum of Squares Decomposition.
We present a methodology for analyzing robust independent-of-delay and delay-dependent stability of equilibria of systems described by nonlinear Delay Differential Equations by algorithmically constructing appropriate Lyapunov-Krasovskii functionals using the sum of squares decomposition of multivar...
| Main Authors: | , , |
|---|---|
| Format: | Journal article |
| Language: | English |
| Published: |
2009
|
| _version_ | 1797053140260880384 |
|---|---|
| author | Papachristodoulou, A Peet, M Lall, S |
| author_facet | Papachristodoulou, A Peet, M Lall, S |
| author_sort | Papachristodoulou, A |
| collection | OXFORD |
| description | We present a methodology for analyzing robust independent-of-delay and delay-dependent stability of equilibria of systems described by nonlinear Delay Differential Equations by algorithmically constructing appropriate Lyapunov-Krasovskii functionals using the sum of squares decomposition of multivariate polynomials and semidefinite programming. We illustrate the methodology using an example from population dynamics. © 2009 IEEE. |
| first_indexed | 2024-03-06T18:39:54Z |
| format | Journal article |
| id | oxford-uuid:0c851ce9-6551-4bc8-a067-ee8f9d1759c7 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T18:39:54Z |
| publishDate | 2009 |
| record_format | dspace |
| spelling | oxford-uuid:0c851ce9-6551-4bc8-a067-ee8f9d1759c72022-03-26T09:35:25ZAnalysis of Polynomial Systems With Time Delays via the Sum of Squares Decomposition.Journal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:0c851ce9-6551-4bc8-a067-ee8f9d1759c7EnglishSymplectic Elements at Oxford2009Papachristodoulou, APeet, MLall, SWe present a methodology for analyzing robust independent-of-delay and delay-dependent stability of equilibria of systems described by nonlinear Delay Differential Equations by algorithmically constructing appropriate Lyapunov-Krasovskii functionals using the sum of squares decomposition of multivariate polynomials and semidefinite programming. We illustrate the methodology using an example from population dynamics. © 2009 IEEE. |
| spellingShingle | Papachristodoulou, A Peet, M Lall, S Analysis of Polynomial Systems With Time Delays via the Sum of Squares Decomposition. |
| title | Analysis of Polynomial Systems With Time Delays via the Sum of Squares Decomposition. |
| title_full | Analysis of Polynomial Systems With Time Delays via the Sum of Squares Decomposition. |
| title_fullStr | Analysis of Polynomial Systems With Time Delays via the Sum of Squares Decomposition. |
| title_full_unstemmed | Analysis of Polynomial Systems With Time Delays via the Sum of Squares Decomposition. |
| title_short | Analysis of Polynomial Systems With Time Delays via the Sum of Squares Decomposition. |
| title_sort | analysis of polynomial systems with time delays via the sum of squares decomposition |
| work_keys_str_mv | AT papachristodouloua analysisofpolynomialsystemswithtimedelaysviathesumofsquaresdecomposition AT peetm analysisofpolynomialsystemswithtimedelaysviathesumofsquaresdecomposition AT lalls analysisofpolynomialsystemswithtimedelaysviathesumofsquaresdecomposition |