时滞系统控制问题块脉冲算子解的收敛性
The Convergence of Block Pulse Operator Solution to time Lag System Control Problem
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摘要: 本文给出了一种基于块脉冲算子的离散逼近格式.应用这种逼近格式,可以获得时滞非 线性最优控制问题的块脉冲级数解.本文证明了这种块脉冲级数解将收敛于这类问题的精 确解,并具有一阶收敛速度.Abstract: In this paper, a discrete approximation scheme based on block pulse operator is given. Using the approximation scheme, we can obtain a block pulse series solution (BPSS) of nonlinear optimal control problem with time-lag. The convergence of the BPSS to the exact solution of the problem is proved and first order convergence rate is established.
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Key words:
- Time lag system /
- optimal control /
- convergence /
- block pulse operator
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