840 resultados para Problems and potentials


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This publication, compiled by Gilberto C. Gallopín, Regional Adviser in Environmental Policy for Latin America and the Caribbean, contains the results of the deliberations of the Latin American and Caribbean Regional Workshop on Science and Technology for Sustainable Development. The purpose of the Workshop was to discuss the practical, theoretical and organizational challenges that the quest for sustainable development poses to science and technology (S&T). The increase in complexity and connectivity characteristic of our times results in that the components of the problems are now much less separable than before, and emphasizes the need to approach the problems of development and the environment not only as complex issues in themselves, but also as inseparable and mutually determined. This represents an exceptional challenge to science and technology, particularly to the analytical approaches compartmentalized into disciplines, which represents the bulk of activities and priorities of current S&T systems in both north and south. The Workshop attempted to articulate a Latin American and Caribbean vision towards the search of more effective ways of generating and applying Science and Technology to the problems and opportunities of the region.

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This work considers nonsmooth optimal control problems and provides two new sufficient conditions of optimality. The first condition involves the Lagrange multipliers while the second does not. We show that under the first new condition all processes satisfying the Pontryagin Maximum Principle (called MP-processes) are optimal. Conversely, we prove that optimal control problems in which every MP-process is optimal necessarily obey our first optimality condition. The second condition is more natural, but it is only applicable to normal problems and the converse holds just for smooth problems. Nevertheless, it is proved that for the class of normal smooth optimal control problems the two conditions are equivalent. Some examples illustrating the features of these sufficient concepts are presented. © 2012 Springer Science+Business Media New York.

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