Sufficient conditions for the controllability of nonlinear distributed systems

被引：0
|
作者：
A. V. Chernov
机构：
[1] Nizhnii Novgorod State University,
来源：
Computational Mathematics and Mathematical Physics | 2012年 / 52卷
关键词：
controllability of nonlinear distributed systems; piecewise constant control; Volterra functional operator equation;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
For nonlinear distributed systems representable as a Volterra functional operator equation in a Lebesgue space, sufficient conditions for pointwise controllability with respect to a vector of non-linear functionals are proved. The controls are assumed to be piecewise constant vector functions. The reduction of controlled distributed systems to the functional operator equation under study is illustrated by two examples: a Dirichlet boundary value problem for the diffusion equation and a mixed problem for the transport equation.
引用
收藏
页码：1115 / 1127
页数：12
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