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https://hdl.handle.net/2440/83132
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dc.contributor.author | Mahmoud, M. | - |
dc.contributor.author | Shi, P. | - |
dc.contributor.author | Saif, A. | - |
dc.date.issued | 2009 | - |
dc.identifier.citation | Journal of Optimization Theory and Applications, 2009; 142(3):583-601 | - |
dc.identifier.issn | 0022-3239 | - |
dc.identifier.issn | 1573-2878 | - |
dc.identifier.uri | http://hdl.handle.net/2440/83132 | - |
dc.description.abstract | This paper presents new results pertaining to the delay-dependent stability and control synthesis of a class of linear switched continuous-time systems with time-varying delays. A new state transformation is introduced to exhibit the delay-dependent dynamics in the slow-time scale. For stability, we construct an appropriate selective Lyapunov functional to derive delay-dependent LMI-based sufficient conditions under arbitrary switching and without relying to overbounding. For the control synthesis, we design switched feedback schemes based on quadratic ℋ2, ℋ∞ and simultaneous ℋ2/ℋ∞ performance criteria. Under the developed transformation, it is established that both the instantaneous and delayed feedback control yield identical results. Numerical examples are presented to illustrate the analytical development. | - |
dc.description.statementofresponsibility | M.S. Mahmoud, P. Shi, A.W.A. Saif | - |
dc.language.iso | en | - |
dc.publisher | Kluwer Academic/plenum Publ | - |
dc.rights | © Springer Science+Business Media, LLC 2009 | - |
dc.source.uri | http://dx.doi.org/10.1007/s10957-009-9527-2 | - |
dc.subject | Switched time-delay systems | - |
dc.subject | Delay-dependent stability | - |
dc.subject | Switched Lyapunov functional | - |
dc.subject | Switched state-feedback | - |
dc.subject | LMIs | - |
dc.subject | Simultaneous ℋ2/ℋ∞ synthesis | - |
dc.title | Stabilization of linear switched delay systems: ℋ2 and ℋ∞ methods | - |
dc.title.alternative | Stabilization of linear switched delay systems: H(2) and H-infinity methods | - |
dc.type | Journal article | - |
dc.identifier.doi | 10.1007/s10957-009-9527-2 | - |
pubs.publication-status | Published | - |
dc.identifier.orcid | Shi, P. [0000-0001-8218-586X] | - |
Appears in Collections: | Aurora harvest 4 Electrical and Electronic Engineering publications |
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