Affiliation:
1. LMDP UMMISCO (IRD-UPMC), Cadi Ayyad University, Faculty of Sciences Semlalia , B.P. 2390, Marrakech, Morocco
Abstract
Abstract
In this paper, we prove a logarithmic convexity that reflects an observability estimate at a single point of time for the one-dimensional heat equation with dynamic boundary conditions. Consequently, we establish the impulse approximate controllability for the impulsive heat equation with dynamic boundary conditions. Moreover, we obtain an explicit upper bound of the cost of impulse control. At the end, we give a constructive algorithm for computing the impulsive control of minimal $L^2$-norm. We also present some numerical tests to validate the theoretical results and show the efficiency of the designed algorithm.
Publisher
Oxford University Press (OUP)
Subject
Applied Mathematics,Control and Optimization,Control and Systems Engineering
Reference38 articles.
1. Non-Instantaneous Impulses in Differential Equations
2. Lipschitz stability for an inverse source problem in anisotropic parabolic equations with dynamic boundary conditions;Ait Benhassi;Evol. Equat. and Cont. Theo.,2021
3. An inverse problem of radiative potentials and initial temperatures in parabolic equations with dynamic boundary conditions;Ait Benhassi;J. Inverse Ill-Posed Probl.,2021
4. Identification of source terms in heat equation with dynamic boundary conditions;Ait Benhassi;Math. Meth. Appl. Sci.,2021
5. Inverse problems for general parabolic systems and application to Ornstein-Uhlenbeck equation;Ait Benhassi,2021
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