Stability of switched linear differential systems
We study the stability of switched systems whose dynamic modes are described by systems of higher-order linear differential equations not necessarily sharing the same state space. Concatenability of trajectories at the switching instants is specified by gluing conditions, i.e. algebraic conditions o...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
2014-08.
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| Subjects: | |
| Online Access: | Get fulltext |
| LEADER | 01094 am a22001573u 4500 | ||
|---|---|---|---|
| 001 | 367406 | ||
| 042 | |a dc | ||
| 100 | 1 | 0 | |a Mayo Maldonado, J.C. |e author |
| 700 | 1 | 0 | |a Rapisarda, P. |e author |
| 700 | 1 | 0 | |a Rocha, P. |e author |
| 245 | 0 | 0 | |a Stability of switched linear differential systems |
| 260 | |c 2014-08. | ||
| 856 | |z Get fulltext |u https://eprints.soton.ac.uk/367406/1/FinalManuscript-2column.pdf | ||
| 520 | |a We study the stability of switched systems whose dynamic modes are described by systems of higher-order linear differential equations not necessarily sharing the same state space. Concatenability of trajectories at the switching instants is specified by gluing conditions, i.e. algebraic conditions on the trajectories and their derivatives at the switching instants. We provide sufficient conditions for stability based on LMIs for systems with general gluing conditions. We also analyse the role of positive-realness in providing sufficient polynomial-algebraic conditions for stability of two-modes switched systems with special gluing conditions. | ||
| 540 | |a accepted_manuscript | ||
| 655 | 7 | |a Article | |