Browsing Mathematics (Faculty of) by Author "Morris, Kirsten"
Now showing items 1-13 of 13
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Control of the Landau–Lifshitz equation
Chow, Amenda; Morris, Kirsten (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 ... -
Efficient electrochemical model for lithium-ion cells
Afshar, Sepideh; Morris, Kirsten; Khajepour, Amir (2017-09-12)Lithium-ion batteries are used to store energy in electric vehicles. Physical models based on electro-chemistry accurately predict the cell dynamics, in particular the state of charge. However, these models are nonlinear ... -
Late-lumping backstepping control of partial differential equations
Auriol, Jean; Morris, Kirsten; Di Meglio, Florent (Elsevier, 2019-02)We consider in this paper three different partial differential equations (PDEs) that can be exponentially stabilized using backstepping controllers. For implementation, a finite-dimensional controller is generally needed. ... -
Linearized Stability of Partial Differential Equations with Application to Stabilization of the Kuramoto--Sivashinsky Equation
Al Jamal, Rasha; Morris, Kirsten (Society for Industrial and Applied Mathematics, 2018-01-05)Linearization is a useful tool for analyzing the stability of nonlinear differential equations. Unfortunately, the proof of the validity of this approach for ordinary differential equations does not generalize to all ... -
Modeling and Stabilizability of Voltage-Actuated Piezoelectric Beams with Magnetic Effects
Morris, Kirsten; Özer, Ahmeẗ Ozkan̈ (Society for Industrial and Applied Mathematics, 2014-01-01)Models for piezoelectric beams and structures with piezoelectric patches generally ignore magnetic effects. This is because the magnetic energy has a relatively small effect on the overall dynamics. Piezoelectric beam ... -
A modified sliding-mode observer design with application to diffusion equation
Afshar, Sepideh; Morris, Kirsten; Khajepour, Amir (Taylor and Francis, 2018-02-27)In many physical systems, the system's full state cannot be measured. An observer is designed to reconstruct the state from measurements. Disturbances often contribute to the dynamics of the system, and the designed observer ... -
Optimal Actuator Location for Semi-Linear Systems
Edalatzadeh, M. Sajjad; Morris, Kirsten (2018)Actuator location and design are important choices in controller design for distributed parameter systems. Semi-linear partial differential equations model a wide spectrum of physical systems with distributed parameters. ... -
Optimal Controller and Actuator Design for Nonlinear Parabolic Systems
Edalatzadeh, M. Sajjad; Morris, Kirsten (2019-10-08)Many physical systems are modeled by nonlinear parabolic differential equations, such as the Kuramoto-Sivashinsky (KS) equation. In this paper, the existence of a concurrent optimal controller and actuator design is ... -
Sensor Choice for Minimum Error Variance Estimation
Zhang, Minxin; Morris, Kirsten (Institute of Electrical and Electronics Engineers, 2017-06-12)A Kalman filter is optimal in that the variance of the error is minimized by the estimator. It is shown here, in an infinite-dimensional context, that the solution to an operator Riccati equation minimizes the steady-state ... -
Stability and Well-posedness of a Nonlinear Railway Track Model
Edalatzadeh, M. Sajjad; Morris, Kirsten (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 ... -
Well-Posedness of Boundary Control Systems
Cheng, Ada; Morris, Kirsten (Society for Industrial and Applied Mathematics, 2003-01-01)Continuity of the input/output map for boundary control systems is shown through the system transfer function. Our approach transforms the question of continuity of the input/output map of a boundary control system to ... -
Zero dynamics for networks of waves
Jacob, Birgit; Morris, Kirsten; Zwart, Hans (Elsevier, 2019-05)The zero dynamics of infinite-dimensional systems can be difficult to characterize. The zero dynamics of boundary control systems are particularly problematic. In this paper the zero dynamics of port-Hamiltonian systems ... -
Zero Dynamics for Port-Hamiltonian Systems
Jacob, Birgit; Morris, Kirsten; Zwart, Hans (2017-11-19)The zero dynamics of infinite-dimensional systems can be difficult to characterize. The zero dynamics of boundary control systems are particularly problematic. In this paper the zero dynamics of port-Hamiltonian systems ...