Browsing Theses by Supervisor "Liu, Xinzhi"
Now showing items 1-11 of 11
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Consensus Problems in Hybrid Multi-Agent Systems
(University of Waterloo, 2022-09-28)A multi-agent system (MAS) is a dynamic system that consists of a group of interacting agents distributed over a network. In the past decades, the study of distributed coordination of multi-agent systems has been widely ... -
Formation Control of Multi-agent Systems via Impulsive Strategy
(University of Waterloo, 2023-09-08)Multi-agent systems (MASs) involving cooperative control problems such as consensus tracking of distributed networks, flocking control with obstacle avoidance, and attitude alignment have received a considerable amount of ... -
Impulsive Control of Dynamical Networks
(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
(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
(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
(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
(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
(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
(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
(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
(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, ...