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We consider the problem of reconstructing distributed inputs (disturbances) in linear parabolic equations. An algorithm for solving this problem is given. An upper bound for the convergence rate is established… Click to show full abstract
We consider the problem of reconstructing distributed inputs (disturbances) in linear parabolic equations. An algorithm for solving this problem is given. An upper bound for the convergence rate is established for the case in which the input is a function of bounded variation. The algorithm combines the optimal preset and positional control methods and permits reconstruction based on inaccurate measurements of solutions of the equations at discrete time instants.
Keywords:
equations modification;
modification dynamic;
linear parabolic;
regularization method;
parabolic equations;
dynamic regularization
Journal Title: Differential Equations
Year Published: 2020
Link to full text (if available)
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Journal Title: Differential Equations
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!