Hybrid Dynamical Systems : Modeling, Stability, and Robustness
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| Title: | Hybrid Dynamical Systems : Modeling, Stability, and Robustness |
|---|---|
| Description: | Hybrid dynamical systems exhibit continuous and instantaneous changes, having features of continuous-time and discrete-time dynamical systems. Filled with a wealth of examples to illustrate concepts, this book presents a complete theory of robust asymptotic stability for hybrid dynamical systems that is applicable to the design of hybrid control algorithms--algorithms that feature logic, timers, or combinations of digital and analog components. With the tools of modern mathematical analysis, Hybrid Dynamical Systems unifies and generalizes earlier developments in continuous-time and discrete-time nonlinear systems. It presents hybrid system versions of the necessary and sufficient Lyapunov conditions for asymptotic stability, invariance principles, and approximation techniques, and examines the robustness of asymptotic stability, motivated by the goal of designing robust hybrid control algorithms. This self-contained and classroom-tested book requires standard background in mathematical analysis and differential equations or nonlinear systems. It will interest graduate students in engineering as well as students and researchers in control, computer science, and mathematics. |
| Authors: | Rafal Goebel, Ricardo G. Sanfelice, Andrew R. Teel |
| Resource Type: | eBook. |
| Subjects: | Control theory, Dynamics, Automatic control |
| Categories: | MATHEMATICS / Applied, MATHEMATICS / Differential Equations / General, MATHEMATICS / Linear & Nonlinear Programming, MATHEMATICS / Numerical Analysis, MATHEMATICS / Optimization |
| Database: | eBook Collection (EBSCOhost) |
| FullText | Links: – Type: ebook-pdf – Type: ebook-epub Text: Availability: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Hybrid Dynamical Systems : Modeling, Stability, and Robustness – Name: Abstract Label: Description Group: Ab Data: Hybrid dynamical systems exhibit continuous and instantaneous changes, having features of continuous-time and discrete-time dynamical systems. Filled with a wealth of examples to illustrate concepts, this book presents a complete theory of robust asymptotic stability for hybrid dynamical systems that is applicable to the design of hybrid control algorithms--algorithms that feature logic, timers, or combinations of digital and analog components. With the tools of modern mathematical analysis, Hybrid Dynamical Systems unifies and generalizes earlier developments in continuous-time and discrete-time nonlinear systems. It presents hybrid system versions of the necessary and sufficient Lyapunov conditions for asymptotic stability, invariance principles, and approximation techniques, and examines the robustness of asymptotic stability, motivated by the goal of designing robust hybrid control algorithms. This self-contained and classroom-tested book requires standard background in mathematical analysis and differential equations or nonlinear systems. It will interest graduate students in engineering as well as students and researchers in control, computer science, and mathematics. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Rafal+Goebel%22">Rafal Goebel</searchLink><br /><searchLink fieldCode="AR" term="%22Ricardo+G%2E+Sanfelice%22">Ricardo G. Sanfelice</searchLink><br /><searchLink fieldCode="AR" term="%22Andrew+R%2E+Teel%22">Andrew R. Teel</searchLink> – Name: TypePub Label: Resource Type Group: TypPub Data: eBook. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Control+theory%22">Control theory</searchLink><br /><searchLink fieldCode="DE" term="%22Dynamics%22">Dynamics</searchLink><br /><searchLink fieldCode="DE" term="%22Automatic+control%22">Automatic control</searchLink> – Name: SubjectBISAC Label: Categories Group: Su Data: <searchLink fieldCode="ZK" term="%22MATHEMATICS+%2F+Applied%22">MATHEMATICS / Applied</searchLink><br /><searchLink fieldCode="ZK" term="%22MATHEMATICS+%2F+Differential+Equations+%2F+General%22">MATHEMATICS / Differential Equations / General</searchLink><br /><searchLink fieldCode="ZK" term="%22MATHEMATICS+%2F+Linear+%26+Nonlinear+Programming%22">MATHEMATICS / Linear & Nonlinear Programming</searchLink><br /><searchLink fieldCode="ZK" term="%22MATHEMATICS+%2F+Numerical+Analysis%22">MATHEMATICS / Numerical Analysis</searchLink><br /><searchLink fieldCode="ZK" term="%22MATHEMATICS+%2F+Optimization%22">MATHEMATICS / Optimization</searchLink> |
| PLink | https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=nlebk&AN=444101 |
| RecordInfo | BibRecord: BibEntity: Classifications: – Code: 003.75 Scheme: ddc Type: prePub Languages: – Code: eng Text: English Subjects: – SubjectFull: Control theory Type: general – SubjectFull: Dynamics Type: general – SubjectFull: Automatic control Type: general Titles: – TitleFull: Hybrid Dynamical Systems : Modeling, Stability, and Robustness Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Rafal Goebel – PersonEntity: Name: NameFull: Ricardo G. Sanfelice – PersonEntity: Name: NameFull: Andrew R. Teel – PersonEntity: Name: NameFull: Rafal Goebel – PersonEntity: Name: NameFull: Ricardo G. Sanfelice – PersonEntity: Name: NameFull: Andrew R. Teel IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 01 Type: published Y: 2012 – D: 04 M: 02 Type: profile Y: 2014 Identifiers: – Type: isbn-print Value: 9780691153896 – Type: isbn-electronic Value: 9781400842636 Titles: – TitleFull: Hybrid Dynamical Systems : Modeling, Stability, and Robustness Type: main |
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