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Title: ANALYSIS OF ZENO STABILITY IN HYBRID SYSTEMS USING SUM-OF-SQUARES PROGRAMMING
Creator: Murti, Chaitanya
Date: 2012-12-14, 2012-12
Description: Hybrid dynamical systems are systems that combine continuous dynamics with discrete transitions. Such systems can exhibit many unique...
Show moreHybrid dynamical systems are systems that combine continuous dynamics with discrete transitions. Such systems can exhibit many unique phenomena, such as Zeno behavior. Zeno behavior is the occurrence of infinite discrete transitions in finite time. This phenomenon has been likened to a form of finite-time asymptotic stability, wherein trajectories converge asymptotically to compact sets in finite time whilst undergoing infinite transitions. Corresponding Lyapunov theorems have been developed. The main objective of our research was to develop computational techniques to determine whether or not a given hybrid system exhibits this Zeno phenomenon. In this thesis, we propose a method to algorithmically construct Lyapunov functions to prove Zeno stability of compact sets in hybrid systems. We use sum-of-squares programming to construct Lyapunov functions that allow us to prove Zeno stability of compact sets for hybrid systems with polynomial vector fields. Examples illustrating the use of the proposed technique are also provided. Finally, we provide a method using sum-of-squares programming to show Zeno stability of compact sets for systems with parametric uncertainties in the vector field, guard sets and domains, and transition maps. We then discuss potential applications of the proposed methods, along with examples.
M.S. in Electrical Engineering, December 2012
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Title: Integration of Process Improvement (sequence unknown), IPRO 304 - Deliverables: IPRO 304 Brochure F09
Creator: Bauer, Jessie, Bergeron, Tony, Campen, Matt, Gruchalski, Erik, Choi, Tae Ki, Marx, Ryan, Murti, Chaitanya, Robbins, Brian, Sohal, Atinder Pal, Stenson, Amanda, Taboada, Alejandro, Zhang, Bingjian
Date: 2009-12
Description: A. Finkl and Sons require an effective way of detecting carbide inserts on the steel milling machine. These inserts break off due to stress...
Show moreA. Finkl and Sons require an effective way of detecting carbide inserts on the steel milling machine. These inserts break off due to stress and shape of metal and need to be replaced immediately to avoid further damage to the machine and the steel to be milled.
Sponsorship: A. Finkl and Sona
Deliverables for IPRO 304: Integration of Process Improvements for the fall 2009 semester.
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Title: Integration of Process Improvements (Semester Unknown) IPRO 304
Creator: Bauer, Jessie, Bergeron, Tony, Campen, Matt, Gruchalski, Erik, Ki Choi, Tae, Marx, Ryan, Murti, Chaitanya, Robbins, Brian, Pal Sohal, Atinder, Stenson, Amanda, Taboada, Alejandro, Zhang, Bingjian
Date: 2009, 2009-12
Description: The goal and mission this semester is to create a procedure that can show a technician when a carbide insert breaks off of a face mill during...
Show moreThe goal and mission this semester is to create a procedure that can show a technician when a carbide insert breaks off of a face mill during operation. Completing this task will increase productivity for A. Finkl and Sons.
Deliverables
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Title: Integration of Process Improvements (Semester Unknown) IPRO 304: IntegrationOfProcessImprovementsIPRO304BrochureF09
Creator: Bauer, Jessie, Bergeron, Tony, Campen, Matt, Gruchalski, Erik, Ki Choi, Tae, Marx, Ryan, Murti, Chaitanya, Robbins, Brian, Pal Sohal, Atinder, Stenson, Amanda, Taboada, Alejandro, Zhang, Bingjian
Date: 2009, 2009-12
Description: The goal and mission this semester is to create a procedure that can show a technician when a carbide insert breaks off of a face mill during...
Show moreThe goal and mission this semester is to create a procedure that can show a technician when a carbide insert breaks off of a face mill during operation. Completing this task will increase productivity for A. Finkl and Sons.
Deliverables
Show less

Title: Integration of Process Improvement (sequence unknown), IPRO 304 - Deliverables: IPRO 304 Poster F09
Creator: Bauer, Jessie, Bergeron, Tony, Campen, Matt, Gruchalski, Erik, Choi, Tae Ki, Marx, Ryan, Murti, Chaitanya, Robbins, Brian, Sohal, Atinder Pal, Stenson, Amanda, Taboada, Alejandro, Zhang, Bingjian
Date: 2009-12
Description: A. Finkl and Sons require an effective way of detecting carbide inserts on the steel milling machine. These inserts break off due to stress...
Show moreA. Finkl and Sons require an effective way of detecting carbide inserts on the steel milling machine. These inserts break off due to stress and shape of metal and need to be replaced immediately to avoid further damage to the machine and the steel to be milled.
Sponsorship: A. Finkl and Sona
Deliverables for IPRO 304: Integration of Process Improvements for the fall 2009 semester.
Show less

Title: Integration of Process Improvements (Semester Unknown) IPRO 304: IntegrationOfProcessImprovementsIPRO304PosterF09
Creator: Bauer, Jessie, Bergeron, Tony, Campen, Matt, Gruchalski, Erik, Ki Choi, Tae, Marx, Ryan, Murti, Chaitanya, Robbins, Brian, Pal Sohal, Atinder, Stenson, Amanda, Taboada, Alejandro, Zhang, Bingjian
Date: 2009, 2009-12
Description: The goal and mission this semester is to create a procedure that can show a technician when a carbide insert breaks off of a face mill during...
Show moreThe goal and mission this semester is to create a procedure that can show a technician when a carbide insert breaks off of a face mill during operation. Completing this task will increase productivity for A. Finkl and Sons.
Deliverables
Show less

Title: Integration of Process Improvement (sequence unknown), IPRO 304 - Deliverables: IPRO 304 Midterm Presentation F09
Creator: Bauer, Jessie, Bergeron, Tony, Campen, Matt, Gruchalski, Erik, Choi, Tae Ki, Marx, Ryan, Murti, Chaitanya, Robbins, Brian, Sohal, Atinder Pal, Stenson, Amanda, Taboada, Alejandro, Zhang, Bingjian
Date: 2009-12
Description: A. Finkl and Sons require an effective way of detecting carbide inserts on the steel milling machine. These inserts break off due to stress...
Show moreA. Finkl and Sons require an effective way of detecting carbide inserts on the steel milling machine. These inserts break off due to stress and shape of metal and need to be replaced immediately to avoid further damage to the machine and the steel to be milled.
Sponsorship: A. Finkl and Sona
Deliverables for IPRO 304: Integration of Process Improvements for the fall 2009 semester.
Show less

Title: Integration of Process Improvements (Semester Unknown) IPRO 304: IntegrationOfProcessImprovementsIPRO304FinalPresentationF09
Creator: Bauer, Jessie, Bergeron, Tony, Campen, Matt, Gruchalski, Erik, Ki Choi, Tae, Marx, Ryan, Murti, Chaitanya, Robbins, Brian, Pal Sohal, Atinder, Stenson, Amanda, Taboada, Alejandro, Zhang, Bingjian
Date: 2009, 2009-12
Description: The goal and mission this semester is to create a procedure that can show a technician when a carbide insert breaks off of a face mill during...
Show moreThe goal and mission this semester is to create a procedure that can show a technician when a carbide insert breaks off of a face mill during operation. Completing this task will increase productivity for A. Finkl and Sons.
Deliverables
Show less

Title: Integration of Process Improvement (sequence unknown), IPRO 304 - Deliverables: IPRO 304 Final Report F09
Creator: Bauer, Jessie, Bergeron, Tony, Campen, Matt, Gruchalski, Erik, Choi, Tae Ki, Marx, Ryan, Murti, Chaitanya, Robbins, Brian, Sohal, Atinder Pal, Stenson, Amanda, Taboada, Alejandro, Zhang, Bingjian
Date: 2009-12
Description: A. Finkl and Sons require an effective way of detecting carbide inserts on the steel milling machine. These inserts break off due to stress...
Show moreA. Finkl and Sons require an effective way of detecting carbide inserts on the steel milling machine. These inserts break off due to stress and shape of metal and need to be replaced immediately to avoid further damage to the machine and the steel to be milled.
Sponsorship: A. Finkl and Sona
Deliverables for IPRO 304: Integration of Process Improvements for the fall 2009 semester.
Show less

Title: Integration of Process Improvement (sequence unknown), IPRO 304 - Deliverables: 304
Creator: Bauer, Jessie, Bergeron, Tony, Campen, Matt, Gruchalski, Erik, Choi, Tae Ki, Marx, Ryan, Murti, Chaitanya, Robbins, Brian, Sohal, Atinder Pal, Stenson, Amanda, Taboada, Alejandro, Zhang, Bingjian
Date: 2009-12
Description: A. Finkl and Sons require an effective way of detecting carbide inserts on the steel milling machine. These inserts break off due to stress...
Show moreA. Finkl and Sons require an effective way of detecting carbide inserts on the steel milling machine. These inserts break off due to stress and shape of metal and need to be replaced immediately to avoid further damage to the machine and the steel to be milled.
Sponsorship: A. Finkl and Sona
Deliverables for IPRO 304: Integration of Process Improvements for the fall 2009 semester.
Show less

Title: Integration of Process Improvement (sequence unknown), IPRO 304 - Deliverables: IPRO 304 IPRO Day Presentation F09
Creator: Bauer, Jessie, Bergeron, Tony, Campen, Matt, Gruchalski, Erik, Choi, Tae Ki, Marx, Ryan, Murti, Chaitanya, Robbins, Brian, Sohal, Atinder Pal, Stenson, Amanda, Taboada, Alejandro, Zhang, Bingjian
Date: 2009-12
Description: A. Finkl and Sons require an effective way of detecting carbide inserts on the steel milling machine. These inserts break off due to stress...
Show moreA. Finkl and Sons require an effective way of detecting carbide inserts on the steel milling machine. These inserts break off due to stress and shape of metal and need to be replaced immediately to avoid further damage to the machine and the steel to be milled.
Sponsorship: A. Finkl and Sona
Deliverables for IPRO 304: Integration of Process Improvements for the fall 2009 semester.
Show less

Title: Integration of Process Improvement (sequence unknown), IPRO 304 - Deliverables
Creator: Bauer, Jessie, Bergeron, Tony, Campen, Matt, Gruchalski, Erik, Choi, Tae Ki, Marx, Ryan, Murti, Chaitanya, Robbins, Brian, Sohal, Atinder Pal, Stenson, Amanda, Taboada, Alejandro, Zhang, Bingjian
Date: 2009-12
Description: A. Finkl and Sons require an effective way of detecting carbide inserts on the steel milling machine. These inserts break off due to stress...
Show moreA. Finkl and Sons require an effective way of detecting carbide inserts on the steel milling machine. These inserts break off due to stress and shape of metal and need to be replaced immediately to avoid further damage to the machine and the steel to be milled.
Sponsorship: A. Finkl and Sona
Deliverables for IPRO 304: Integration of Process Improvements for the fall 2009 semester.
Show less

Title: Integration of Process Improvements (Semester Unknown) IPRO 304: IntegrationOfProcessImprovementsIPRO304FinalReportF09
Creator: Bauer, Jessie, Bergeron, Tony, Campen, Matt, Gruchalski, Erik, Ki Choi, Tae, Marx, Ryan, Murti, Chaitanya, Robbins, Brian, Pal Sohal, Atinder, Stenson, Amanda, Taboada, Alejandro, Zhang, Bingjian
Date: 2009, 2009-12
Description: The goal and mission this semester is to create a procedure that can show a technician when a carbide insert breaks off of a face mill during...
Show moreThe goal and mission this semester is to create a procedure that can show a technician when a carbide insert breaks off of a face mill during operation. Completing this task will increase productivity for A. Finkl and Sons.
Deliverables
Show less

Title: Integration of Process Improvements (Semester Unknown) IPRO 304: IntegrationOfProcessImprovementsIPRO304ProjectPlanF09
Creator: Bauer, Jessie, Bergeron, Tony, Campen, Matt, Gruchalski, Erik, Ki Choi, Tae, Marx, Ryan, Murti, Chaitanya, Robbins, Brian, Pal Sohal, Atinder, Stenson, Amanda, Taboada, Alejandro, Zhang, Bingjian
Date: 2009, 2009-12
Description: The goal and mission this semester is to create a procedure that can show a technician when a carbide insert breaks off of a face mill during...
Show moreThe goal and mission this semester is to create a procedure that can show a technician when a carbide insert breaks off of a face mill during operation. Completing this task will increase productivity for A. Finkl and Sons.
Deliverables
Show less

Title: Integration of Process Improvements (Semester Unknown) IPRO 304: IntegrationOfProcessImprovementsIPRO304MidTermPresentationF09
Creator: Bauer, Jessie, Bergeron, Tony, Campen, Matt, Gruchalski, Erik, Ki Choi, Tae, Marx, Ryan, Murti, Chaitanya, Robbins, Brian, Pal Sohal, Atinder, Stenson, Amanda, Taboada, Alejandro, Zhang, Bingjian
Date: 2009, 2009-12
Description: The goal and mission this semester is to create a procedure that can show a technician when a carbide insert breaks off of a face mill during...
Show moreThe goal and mission this semester is to create a procedure that can show a technician when a carbide insert breaks off of a face mill during operation. Completing this task will increase productivity for A. Finkl and Sons.
Deliverables
Show less

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