Now showing items 1-9 of 9

    • Impulsive Control of Dynamical Networks 

      Zhang, Kexue (University of Waterloo, 2017-08-25)
      Dynamical networks (DNs) consist of a large set of interconnected nodes with each node being a fundamental unit with detailed contents. A great number of natural and man-made networks such as social networks, food networks, ...
    • Infectious Disease Modeling with Interpersonal Contact Patterns as a Heterogeneous Network 

      Boneng, Joanna Felicia (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 ...
    • Invariant manifold theory for impulsive functional differential equations with applications 

      Church, Kevin E. M. (University of Waterloo, 2019-07-03)
      The primary contribution of this thesis is a development of invariant manifold theory for impulsive functional differential equations. We begin with an in-depth analysis of linear systems, immersed in a nonautonomous ...
    • On Stability and Stabilization of Hybrid Systems 

      Sugati, Taghreed (University of Waterloo, 2015-12-23)
      The thesis addresses the stability, input-to-state stability (ISS), and stabilization problems for deterministic and stochastic hybrid systems with and without time delay. The stabilization problem is achieved by reliable, ...
    • Qualitative Properties of Hybrid Singular Systems 

      Kiyak, Humeyra (University of Waterloo, 2019-01-15)
      A singular system model is mathematically formulated as a set of coupled differential and algebraic equations. Singular systems, also referred to as descriptor or differential algebraic systems, have extensive applications ...
    • Robustly Complete Temporal Logic Control Synthesis for Nonlinear Systems 

      Li, Yinan (University of Waterloo, 2019-12-18)
      Modern systems such as spacecrafts and autonomous vehicles are complex yet safety-critical, and therefore the control methods that can deal with different dynamics and constraints while being provably correct are sought ...
    • Stability and Control of Caputo Fractional Order Systems 

      Wu, Cong (University of Waterloo, 2018-01-08)
      As pointed out by many researchers in the last few decades, differential equations with fractional (non-integer) order differential operators, in comparison with classical integer order ones, have apparent advantages in ...
    • Stability of Nonlinear Functional Differential Equations by the Contraction Mapping Principle 

      Ramirez Ibanez, Cesar (University of Waterloo, 2016-08-29)
      Fixed point theory has a long history of being used in nonlinear differential equations, in order to prove existence, uniqueness, or other qualitative properties of solutions. However, using the contraction mapping ...
    • Synchronization of Complex-Valued Dynamical Networks 

      Shen, Yuan (University of Waterloo, 2021-09-27)
      Dynamical networks (DNs) have been broadly applied to describe natural and human systems consisting of a large number of interactive individuals. Common examples include Internet, food webs, social networks, neural networks, ...

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