Control problems for ensembles of differential inclusion trajectories - Otakulov, Salim
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The paper is devoted to the study of differential inclusions with a control parameter. The problems of interest for the theory of nonsmooth optimization are considered. We study the topological properties of the set of solutions and the ensemble of trajectories of differential inclusions, the property of controllability of the ensemble of trajectories, and necessary and sufficient conditions for optimality in the speed problem and in the minimax problem of controlling the ensemble of trajectories. The results may be used in the study of control systems under conditions of incomplete…mehr

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Produktbeschreibung
The paper is devoted to the study of differential inclusions with a control parameter. The problems of interest for the theory of nonsmooth optimization are considered. We study the topological properties of the set of solutions and the ensemble of trajectories of differential inclusions, the property of controllability of the ensemble of trajectories, and necessary and sufficient conditions for optimality in the speed problem and in the minimax problem of controlling the ensemble of trajectories. The results may be used in the study of control systems under conditions of incomplete information. The monograph is intended for specialists in applied mathematics and optimal control theory.
Autorenporträt
Es doctor en Ciencias Físicas y Matemáticas, profesor. También realiza actividades científicas y de formación en el Instituto Politécnico de Jizzakh. Su área de interés son los sistemas dinámicos, la modelización matemática, los sistemas de control óptimo, la inclusión diferencial y los problemas de optimización no suaves. Tiene más de 180 trabajos científicos y de formación metodológica.