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On the relation between local controllability and stabilizabilityfor a class of nonlinear systems

机译:一类非线性系统的局部可控性与镇定性的关系

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摘要

The problem of local stabilizability of locally controllable nonlinear systems is considered. It is well known that, contrary to the linear case, local controllability does not necessarily imply stabilizability. A class of nonlinear systems for which local controllability implies local asymptotic stabilizability using continuous static-state feedback is described, as for this class of systems the well-known Hermes controllability condition is necessary and sufficient for local controllability
机译:考虑了局部可控非线性系统的局部稳定性问题。众所周知,与线性情况相反,局部可控性不一定意味着稳定性。描述了一类非线性系统,其局部可控性意味着使用连续静态反馈的局部渐近稳定性,因为对于此类系统,众所周知的Hermes可控性条件对于局部可控性是必要且充分的

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