Controllability of the semilinear heat equation with impulses and delay on the state

DOI10.1515/msds-2015-0004zbMath1332.93055OpenAlexW2291916568MaRDI QIDQ260334

Hugo Leiva

Publication date: 21 March 2016

Published in: Nonautonomous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/msds-2015-0004

zbMATH Keywords

strongly continuous semigroupinterior approximate controllabilitysemilinear heat equation with impulses and delay

Mathematics Subject Classification ID

Controllability (93B05) Nonlinear systems in control theory (93C10)

Related Items (7)

Lipschitz perturbations of a class of approximately controllable linear systems ⋮ Global rapid-controllability of a class of semilinear evolution equations ⋮ Mild solution for an impulsive non-autonomous neutral differential equation with a deviated argument ⋮ Controllability of the impulsive functional BBM equation with nonlinear term involving spatial derivative ⋮ Controllability of the impulsive semilinear heat equation with memory and delay ⋮ Controllability of impulsive semilinear stochastic heat equation with delay ⋮ Robustness of the controllability for the heat equation under the influence of multiple impulses and delays

Cites Work

• A characterization of semilinear dense range operators and applications
• Approximate controllability of a semilinear heat equation
• Remarks on the paper ``Controllability of second order differential inclusion in Banach spaces by J. R. Kang, Y. C. Kwun, J. Y. Park.
• Infinite dimensional linear systems theory
• Impulsive functional-differential equations with nonlocal conditions
• Rothe's fixed point theorem and controllability of semilinear nonautonomous systems
• Approximate controllability of semilinear impulsive evolution equations
• Controllability results for impulsive differential systems with finite delay
• Existence Results for Semilinear Differential Evolution Equations with Impulses and Delay
• Partial controllability concepts
• On partialS-controllability of semilinear partially observable systems
• A broad class of evolution equations are approximately controllable, but never exactly controllable
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