Browsing Waterloo Research by Subject "Asymptotic stability"
Now showing items 1-3 of 3
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Control of the Landau–Lifshitz equation
(Elsevier, 2016-05)The Landau–Lifshitz equation describes the dynamics of magnetization inside a ferromagnet. This equation is nonlinear and has an infinite number of stable equilibria. It is desirable to control the system from one equilibrium ... -
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 ... -
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 ...