Browsing Waterloo Research by Subject "Mathematical model"
Now showing items 1-4 of 4
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Global Sampled-Data Regulation of a Class of Fully Actuated Invariant Systems on Simply Connected Nilpotent Matrix Lie Groups
(IEEE, 2021-02-09)We examine a regulator problem for a class of fully actuated continuous-time invariant systems on Lie groups, using a discrete-time controller with constant sampling period. We present a smooth discrete-time control law ... -
A Local Solution to the Output Regulation Problem for Sampled-Data Systems on Commutative Matrix Lie Groups
(IEEE, 2018-08-16)We present a smooth nonlinear control law for a kinematic plant on commutative matrix Lie groups that achieves regulation, if the state tracking and estimation errors are initialized in a suitable neighbourhood of identity. ... -
Role Of Word-Of-Mouth For Programs Of Voluntary Vaccination: A Game-Theoretic Approach
(Elsevier, 2015-11-01)We propose a model describing the synergetic feedback between word-of-mouth (WoM) and epidemic dynamics controlled by voluntary vaccination. The key feature consists in combining a game-theoretic model for the spread of ... -
Stability and Well-posedness of a Nonlinear Railway Track Model
(Institute of Electrical and Electronics Engineers, 2018-06-22)Railway tracks rest on a foundation known for exhibiting nonlinear viscoelastic behavior. Railway track deflections are modeled by a semilinear partial differential equation. This paper studies the stability of solutions ...