4 papers
Fixed-time stabilization of systems with nilpotent matrices in the presence of large unknown delays
Kang-Kang Zhang, Emilia Fridman, Pengfei Wang
In this paper, we study state-feedback fixed-time stabilization of continuous-time perturbed linear systems with nilpotent matrices in the presence of unknown large constant input/…
Output Regulation for Linear Parabolic Systems Using Finite-Dimensional Tracking-Error-Based Control
Bingsen Li, Emilia Fridman, George Weiss
This paper addresses the output regulation problem for 1-D diffusion-reaction system, where both the disturbance and reference signals are generated by an unstable exosystem. We pr…
Constructive boundary observer-based control of high-dimensional semilinear heat equations
Pengfei Wang, Emilia Fridman
This paper presents a constructive finite-dimensional output-feedback design for semilinear -dimensional () heat equations with boundary actuation and sensing. A key ch…
Output-Feedback Control of the Semilinear Heat Equation via the Residue Separation and Harmonic Inequality
Anton Selivanov, Emilia Fridman
A popular approach to designing finite-dimensional boundary controllers for partial differential equations (PDEs) is to decompose the PDE into independent modes and focus on the do…