1,727 research outputs found
An optimal control problem in L-infinity
No full textWe consider an optimal control problem in L∞, where the cost functional has a penalty term which involves the structure of the control law. This type of penalization allows us to restrict our attention only to piecewise constant controls, with assigned switching times, i.e., the controls belong to finite-dimensional control spaces. This fact and our assumptions on the dynamics give as a consequence the compactness of the minimizing sequences in C([0, 1], R′′) ×L∞([0, 1], R). The existence of a minimum of the cost functional is then obtained by a direct method. This result allows us to avoid the usual convexity assumption on the cost functional C and on the multivalued vector field associated to the dynamics when we have to consider the controls in all of L∞. © 1990 Plenum Publishing Corporation
Memorie della zecca fermana /
No full textSignatures: A-L⁴ M².Errata: p. 88.Includes bibliographical references.Mode of access: Internet.Library's copy is bound with: Della origine dei Piceni : dissertazione / di Michele Catalani. Fermo : Per gli eredi Bolis, stamp. priorali, camerali, S. Officio &c., 1777. (88-B31000
A note on optimal control problems
No full textConditions ensuring both the existence of quasi-solutions and that of solutions of a minimization problem are given. In the latter case the controls are taken in L∞, and the usual convexity assumptions on the multivalued vector field associated with the dynamics, the boundary conditions, and the functional, are made. One can also obtain the existence of optimal controls for the same control process, even in the absence of the above-mentioned convexity assumption. For this, it suffices to add to the considered cost functional a suitable penalty term involving the structure of the control law
On the solvability of the L^p and BMO Dirichlet problem for elliptic operators
No full textWe study the BMO and the Lp solvability of the Dirichlet problem for a second order divergence form elliptic operator with bounded measurable coefficients in a Lipschitz domain. We obtain a relation between the BMO-constant of the operator (see Definition 6) and the solvability exponents p
Applications on variational inequalities involving multivalued maps
No full textIn the paper we present a connection between variational inequalities of Stampacchia's type involving multivalued maps and partial differential inclusions. We solve the variational inequalities considered and, as a consequence, the differential inclusion associated, using the topological degree theory
Sobolev-Zygmund solutions for nonlinear elliptic equations with growth coeffcients in BMO
No full textIn this paper we study, in the setting of the Zygmund-Sobolev
spaces, weak solutions to Dirichlet problems for nonlinear elliptic equations
in divergence form with unbounded coefficients of the type
div (A(x;ru) + B(x; u)) = div F
in a bounded regular domain of R^N, N > 2
Industry, innovations and transition to the green and circular economy
No full textInnovation intensity for sustainability is thus moving through an intermediate phase. New and more radical innovations are certainly necessary, as well as enhanced and broader diffusion of existing EIs. On the other hand, the picture at the beginning of the European Green Deal era is not gloomy, since European countries and firms, even SMEs, show significant green strategies that can be further stimulated by European, national and regional plans over the next decades. Whether we will put the Green Deal at the centre is a political decision
that can have medium- to long-term impacts. It is crucial to focus on innovation and knowledge beyond the mere technological realm. This means extending the Green Deal and Just Transition, formulating a broad Well-being Deal, with the environment, education, health or human development at the centre. Investing in knowledge creation thus means strictly connecting and integrating techno-organizational innovation adoption and training for upgrading skills as a pillar of integrated environmental, labour and industrial policies
On Optimal L1-Control in Coefficients for Quasi-Linear Dirichlet Boundary Value Problems with BMO-Anisotropic p-Laplacian
No full textWe study an optimal control problem for a quasi-linear elliptic equation with anisotropic p-Laplace operator in its principal part and L1-control in coefficient of the low-order term. We assume that the matrix of anisotropy belongs to BMO-space. Since we cannot expect to have a solution of the state equation in the classical Sobolev space, we introduce a suitable functional class in which we look for solutions and prove existence of optimal pairs using an approximation procedure and compactness arguments in variable spaces
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