Analysis of switched and hybrid systems - Beyond piecewise quadratic methods
This paper presents a method for stability analysis of switched and hybrid systems using polynomial and piecewise polynomial Lyapunov functions. Computation of such functions can be performed using convex optimization, based on the sum of squares decomposition of multivariate polynomials. The analys...
| المؤلفون الرئيسيون: | , , |
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| التنسيق: | Conference item |
| منشور في: |
2003
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| _version_ | 1826262371897704448 |
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| author | Prajna, S Papachristodoulou, A AAC AAC |
| author_facet | Prajna, S Papachristodoulou, A AAC AAC |
| author_sort | Prajna, S |
| collection | OXFORD |
| description | This paper presents a method for stability analysis of switched and hybrid systems using polynomial and piecewise polynomial Lyapunov functions. Computation of such functions can be performed using convex optimization, based on the sum of squares decomposition of multivariate polynomials. The analysis yields several improvements over previous methods and opens up new possibilities, including the possibility of treating nonlinear vector fields and/or switching surfaces and parametric robustness analysis in a unified way. |
| first_indexed | 2024-03-06T19:35:23Z |
| format | Conference item |
| id | oxford-uuid:1edf2674-6f9e-4f85-bd40-83c2c33dde5c |
| institution | University of Oxford |
| last_indexed | 2024-03-06T19:35:23Z |
| publishDate | 2003 |
| record_format | dspace |
| spelling | oxford-uuid:1edf2674-6f9e-4f85-bd40-83c2c33dde5c2022-03-26T11:18:43ZAnalysis of switched and hybrid systems - Beyond piecewise quadratic methodsConference itemhttp://purl.org/coar/resource_type/c_5794uuid:1edf2674-6f9e-4f85-bd40-83c2c33dde5cSymplectic Elements at Oxford2003Prajna, SPapachristodoulou, AAACAACThis paper presents a method for stability analysis of switched and hybrid systems using polynomial and piecewise polynomial Lyapunov functions. Computation of such functions can be performed using convex optimization, based on the sum of squares decomposition of multivariate polynomials. The analysis yields several improvements over previous methods and opens up new possibilities, including the possibility of treating nonlinear vector fields and/or switching surfaces and parametric robustness analysis in a unified way. |
| spellingShingle | Prajna, S Papachristodoulou, A AAC AAC Analysis of switched and hybrid systems - Beyond piecewise quadratic methods |
| title | Analysis of switched and hybrid systems - Beyond piecewise quadratic methods |
| title_full | Analysis of switched and hybrid systems - Beyond piecewise quadratic methods |
| title_fullStr | Analysis of switched and hybrid systems - Beyond piecewise quadratic methods |
| title_full_unstemmed | Analysis of switched and hybrid systems - Beyond piecewise quadratic methods |
| title_short | Analysis of switched and hybrid systems - Beyond piecewise quadratic methods |
| title_sort | analysis of switched and hybrid systems beyond piecewise quadratic methods |
| work_keys_str_mv | AT prajnas analysisofswitchedandhybridsystemsbeyondpiecewisequadraticmethods AT papachristodouloua analysisofswitchedandhybridsystemsbeyondpiecewisequadraticmethods AT aac analysisofswitchedandhybridsystemsbeyondpiecewisequadraticmethods AT aac analysisofswitchedandhybridsystemsbeyondpiecewisequadraticmethods |