On a local synthesis problem for nonlinear systems with integral constraints

Pub Date : 2022-06-01 DOI:10.35634/vm220202
Gusev M.I., Osipov I.O.
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Abstract

The paper considers the problem of leading a nonlinear control system to the origin of coordinates at a given integral control resource on a finite time interval. We investigate the question of the construction of local control synthesis that solves the problem, assuming that the time interval during which the system is moved is sufficiently small. We indicate sufficient conditions under which the problem can be solved by the approximate replacement of the nonlinear system by its linearization in the neighborhood of the origin
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一类具有积分约束的非线性系统的局部综合问题
研究了在有限时间区间内,将非线性控制系统引导到给定积分控制资源处的坐标原点的问题。假设系统移动的时间间隔足够小,我们研究了解决该问题的局部控制综合的构造问题。给出了用非线性系统在原点附近的线性化近似代替非线性系统求解问题的充分条件
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