Browsing Applied Mathematics by Subject "hybrid systems"
Now showing items 1-4 of 4
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Bifurcation and Robust Control of Instabilities in the Presence of Uncertainties
(University of Waterloo, 2022-10-06)In real-world applications, nominal mathematical models that are used to describe the state behaviors of dynamical systems are usually less robust to deal with environmental disruptions. Uncertainties, such as imprecision ... -
Infectious Disease Modeling with Interpersonal Contact Patterns as a Heterogeneous Network
(University of Waterloo, 2016-09-26)In this thesis, we study deterministic compartmental epidemic models. The conventional mass-mixing assumption is replaced with infectious disease contraction occurring within a heterogeneous network. Modeling infectious ... -
Stability of Impulsive Switched Systems in Two Measures
(University of Waterloo, 2010-09-28)This thesis introduces the notion of using stability analysis in terms of two measures for impulsive switched systems. Impulsive switched systems are defined in the context of hybrid system theory and the motivation for ... -
A Study of Infectious Disease Models with Switching
(University of Waterloo, 2009-05-20)Infectious disease models with switching are constructed and investigated in detail. Modelling infectious diseases as switched systems, which are systems that combine continuous dynamics with discrete logic, allows for the ...