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Norm minimization operators for compact sets in Euclidean space

机译:欧几里德空间紧凑型集的规范最小化运算符

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摘要

Operators formulated are projection operators generalized and minimize the Euclidean space norm functional into a non-empty intersection of a linear manifold and a ball. Equivalent canonical forms, invariants and analytic representations of minimization and acceptable solutions operators are determined. The application of operators is illustrated through an objective analysis of sufficient conditions for asymptotic stability of nonlinear differential operators of closed locally optimal automatic control systems.
机译:配制的操作员是投影运算符通用,并使欧几里德空间规范功能最小化为线性歧管和球的非空交叉点。确定最小化和可接受的解决方案运营商的等效规范形式,不变性和分析表示。操作人员的应用是通过对封闭局部最佳自动控制系统的非线性微分算子的充分渐近稳定性的足够条件的目标分析来说明。

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