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Full Description
This volume presents a timely overview of control theory and related topics, such as the reconstruction problem, the stability of PDEs, and the Calderón problem. The chapters are based on talks given at the conference "Control & Related Fields" held in Seville, Spain in March 2023. In addition to providing a snapshot of these areas, chapters also highlight breakthroughs on more specific topics, such as:
Stabilization of an acoustic system
The Kramers-Fokker-Planck operator
Control of parabolic equations
Control of the wave equation
Advances in Partial Differential Equations and Control will be a valuable resource for both established researchers as well as more junior members of the community.
Contents
Part I: Control of partial differential equations.- Energy decay estimate for a wave-plate interface transmission problem with only two dynamical boundary controls.- Uniform stabilization of an acoustic system.- Some results on the energy decay of solutions for a wave equation with a general internal feedback of diffusive type.- Numerical approximation of the boundary control for the wave equation with periodic oscillating coefficients.- Numerical impulse controllability for parabolic equations by a penalized HUM approach.- Part II: Related fields.- Decoding the Kramers-Fokker-Planck Operator: An overview.- Exponential decay of solutions to linear evolution equations with time-dependent time delay.- Central Nervous System Action on Rolling Balance Board Robust Stabilization: Computer Algebra and MID-based feedback design.- Study of the numerical method for an inverse problem of a simplified intestinal crypt.
