Hybrid Dynamical Systems : : Modeling, Stability, and Robustness / / Rafal Goebel, Andrew R. Teel, Ricardo G. Sanfelice.
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 tha...
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| Superior document: | Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Backlist 2000-2013 |
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| Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2012] ©2012 |
| Year of Publication: | 2012 |
| Edition: | Course Book |
| Language: | English |
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| Physical Description: | 1 online resource (232 p.) :; 45 line illus. |
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Goebel, Rafal, author. aut http://id.loc.gov/vocabulary/relators/aut Hybrid Dynamical Systems : Modeling, Stability, and Robustness / Rafal Goebel, Andrew R. Teel, Ricardo G. Sanfelice. Course Book Princeton, NJ : Princeton University Press, [2012] ©2012 1 online resource (232 p.) : 45 line illus. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Frontmatter -- Contents -- Preface -- Chapter One. Introduction -- Chapter Two. The solution concept -- Chapter Three. Uniform asymptotic stability, an initial treatment -- Chapter Four. Perturbations and generalized solutions -- Chapter Five. Preliminaries from set-valued analysis -- Chapter Six. Well-posed hybrid systems and their properties -- Chapter Seven. Asymptotic stability, an in-depth treatment -- Chapter Eight. Invariance principles -- Chapter Nine. Conical approximation and asymptotic stability -- Appendix: List of Symbols -- Bibliography -- Index restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star 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. Issued also in print. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 30. Aug 2021) Hybrid systems. MATHEMATICS / Applied. bisacsh Hermes solutions. Krasovskii regularization. Krasovskii solutions. Lyapunov conditions. Lyapunov functions. Lyapunov-like functions. asymptotic stability. closed sets. compact sets. conical approximation. conical hybrid system. continuity properties. continuous time. continuous-time systems. data structure. differential equations. differential inclusions. discrete time. discrete-time systems. dynamical systems. equilibrium points. flow map. flow set. generalized solutions. graphical convergence. hybrid arcs. hybrid control algorithms. hybrid dynamical systems. hybrid feedback control. hybrid models. hybrid system. hybrid time domains. invariance principles. jump map. jump set. modeling frameworks. modeling. nonlinear systems. numerical simulations. output function. pre-asymptotic stability. pre-asymptotically stable sets. precompact solutions. regularity properties. set convergence. set-valued analysis. set-valued mappings. smooth Lyapunov function. solution concept. stability theory. state measurement error. state perturbations. switching signals. switching systems. uniform asymptotic stability. well-posed hybrid systems. well-posed problems. well-posedness. ω-limit sets. Sanfelice, Ricardo G., author. aut http://id.loc.gov/vocabulary/relators/aut Teel, Andrew R., author. aut http://id.loc.gov/vocabulary/relators/aut Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Backlist 2000-2013 9783110442502 print 9780691153896 https://doi.org/10.1515/9781400842636?locatt=mode:legacy https://www.degruyter.com/isbn/9781400842636 Cover https://www.degruyter.com/cover/covers/9781400842636.jpg |
| language |
English |
| format |
eBook |
| author |
Goebel, Rafal, Goebel, Rafal, Sanfelice, Ricardo G., Teel, Andrew R., |
| spellingShingle |
Goebel, Rafal, Goebel, Rafal, Sanfelice, Ricardo G., Teel, Andrew R., Hybrid Dynamical Systems : Modeling, Stability, and Robustness / Frontmatter -- Contents -- Preface -- Chapter One. Introduction -- Chapter Two. The solution concept -- Chapter Three. Uniform asymptotic stability, an initial treatment -- Chapter Four. Perturbations and generalized solutions -- Chapter Five. Preliminaries from set-valued analysis -- Chapter Six. Well-posed hybrid systems and their properties -- Chapter Seven. Asymptotic stability, an in-depth treatment -- Chapter Eight. Invariance principles -- Chapter Nine. Conical approximation and asymptotic stability -- Appendix: List of Symbols -- Bibliography -- Index |
| author_facet |
Goebel, Rafal, Goebel, Rafal, Sanfelice, Ricardo G., Teel, Andrew R., Sanfelice, Ricardo G., Sanfelice, Ricardo G., Teel, Andrew R., Teel, Andrew R., |
| author_variant |
r g rg r g rg r g s rg rgs a r t ar art |
| author_role |
VerfasserIn VerfasserIn VerfasserIn VerfasserIn |
| author2 |
Sanfelice, Ricardo G., Sanfelice, Ricardo G., Teel, Andrew R., Teel, Andrew R., |
| author2_variant |
r g s rg rgs a r t ar art |
| author2_role |
VerfasserIn VerfasserIn VerfasserIn VerfasserIn |
| author_sort |
Goebel, Rafal, |
| title |
Hybrid Dynamical Systems : Modeling, Stability, and Robustness / |
| title_sub |
Modeling, Stability, and Robustness / |
| title_full |
Hybrid Dynamical Systems : Modeling, Stability, and Robustness / Rafal Goebel, Andrew R. Teel, Ricardo G. Sanfelice. |
| title_fullStr |
Hybrid Dynamical Systems : Modeling, Stability, and Robustness / Rafal Goebel, Andrew R. Teel, Ricardo G. Sanfelice. |
| title_full_unstemmed |
Hybrid Dynamical Systems : Modeling, Stability, and Robustness / Rafal Goebel, Andrew R. Teel, Ricardo G. Sanfelice. |
| title_auth |
Hybrid Dynamical Systems : Modeling, Stability, and Robustness / |
| title_alt |
Frontmatter -- Contents -- Preface -- Chapter One. Introduction -- Chapter Two. The solution concept -- Chapter Three. Uniform asymptotic stability, an initial treatment -- Chapter Four. Perturbations and generalized solutions -- Chapter Five. Preliminaries from set-valued analysis -- Chapter Six. Well-posed hybrid systems and their properties -- Chapter Seven. Asymptotic stability, an in-depth treatment -- Chapter Eight. Invariance principles -- Chapter Nine. Conical approximation and asymptotic stability -- Appendix: List of Symbols -- Bibliography -- Index |
| title_new |
Hybrid Dynamical Systems : |
| title_sort |
hybrid dynamical systems : modeling, stability, and robustness / |
| publisher |
Princeton University Press, |
| publishDate |
2012 |
| physical |
1 online resource (232 p.) : 45 line illus. Issued also in print. |
| edition |
Course Book |
| contents |
Frontmatter -- Contents -- Preface -- Chapter One. Introduction -- Chapter Two. The solution concept -- Chapter Three. Uniform asymptotic stability, an initial treatment -- Chapter Four. Perturbations and generalized solutions -- Chapter Five. Preliminaries from set-valued analysis -- Chapter Six. Well-posed hybrid systems and their properties -- Chapter Seven. Asymptotic stability, an in-depth treatment -- Chapter Eight. Invariance principles -- Chapter Nine. Conical approximation and asymptotic stability -- Appendix: List of Symbols -- Bibliography -- Index |
| isbn |
9781400842636 9783110442502 9780691153896 |
| callnumber-first |
Q - Science |
| callnumber-subject |
Q - General Science |
| callnumber-label |
Q295 |
| callnumber-sort |
Q 3295 G6 42017 |
| url |
https://doi.org/10.1515/9781400842636?locatt=mode:legacy https://www.degruyter.com/isbn/9781400842636 https://www.degruyter.com/cover/covers/9781400842636.jpg |
| illustrated |
Illustrated |
| dewey-hundreds |
000 - Computer science, information & general works |
| dewey-tens |
000 - Computer science, knowledge & systems |
| dewey-ones |
003 - Systems |
| dewey-full |
003.75 |
| dewey-sort |
13.75 |
| dewey-raw |
003.75 |
| dewey-search |
003.75 |
| doi_str_mv |
10.1515/9781400842636?locatt=mode:legacy |
| oclc_num |
979749949 |
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AT goebelrafal hybriddynamicalsystemsmodelingstabilityandrobustness AT sanfelicericardog hybriddynamicalsystemsmodelingstabilityandrobustness AT teelandrewr hybriddynamicalsystemsmodelingstabilityandrobustness |
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Hybrid Dynamical Systems : Modeling, Stability, and Robustness / |
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