Systems governed by nonlinear partial differential equations (PDEs) arise in many spheres
of study. The stabilization and control of such systems, which are the focus of this book, are …

\noindent We consider control problems governed by semilinear parabolic equations in the
presence of pointwise mixed control-state constraints. We obtain optimality conditions with …

In this paper we study the optimal control problem of the heat equation with a cubic
nonlinearity by a distributed control over a subset of the domain, in the presence of a state …

Optimization and Differentiation is an introduction to the application of optimization control
theory to systems described by nonlinear partial differential equations. As well as offering a …

An examination of progress in mathematical control theory applications. It provides analyses
of the influence and relationship of nonlinear partial differential equations to control systems …

We consider an optimal control problem of a linear elliptic equation with a functional
containing a supremum norm term. The control acts on the boundary. Necessary first order …

This paper considers the bilinear minimax control problem of an important class of parabolic
systems with Robin boundary conditions. Such systems are linear on state variables when …

We consider an extensible beam equation with Dirichlet boundary conditions. The object is
to show the Fréchet differentiability of nonlinear solution map from a bilinear control input to …

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provided b the maximum principle 631 in the space E= C0 0 π of all continuous functions y …

In this paper, we study the quadratic cost minimax optimal control problems for a semilinear
viscoelastic equation with long memory. A global well‐posedness theorem regarding the …