Controllability of Systems Governed by a System of Partial Differential Equations

Computational Optimization of Systems Governed by Partial Differential Equations

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Controllability of partial differential equations

Approximate Controllability for Systems Governed by Nonlinear Volterra Type Equations

We study the control systems governed by abstract Volterra equations without uniqueness in a Banach space. By using the technique of the theory of condensing maps and multivalued analysis tools, we obtain the existence result, investigate the topological structure of the solution set, and prove the invariance of a reachability set of the control system under nonlinear perturbations. Examples co...

Optimal Control of Dynamical Systems Governed by Partial Differential Equations: A Perspective from Real-life Applications ⋆

This survey article summarizes some ideas of the two principle procedures for solving optimal control problems governed by partial differential (algebraic) equations: the indirect method or first-optimize-then-discretize approach based on first-order necessary conditions, and the direct method or first-discretize-then-optimize approach based on non-linear programming software. The focus of this...

Model Variational Inverse Problems Governed by Partial Differential Equations

We discuss solution methods for inverse problems, in which the unknown parameters are connected to the measurements through a partial differential equation (PDE). Various features that commonly arise in these problems, such as inversions for a coefficient field, for the initial condition in a time-dependent problem, and for source terms are being studied in the context of three model problems. ...