STRATIFIED DISCONTINUOUS DIFFERENTIAL EQUATIONS AND SUFFICIENT CONDITIONS FOR ROBUSTNESS

CRISTOPHER HERMOSILLA

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STRATIFIED DISCONTINUOUS DIFFERENTIAL EQUATIONS AND SUFFICIENT CONDITIONS FOR ROBUSTNESS

机译：鲁棒性的分层不连续微分方程和充分条件

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摘要

This paper is concerned with state-constrained discontinuous ordinary differential equations for which the corresponding vector field has a set of singularities that forms a stratification of the state domain. Existence of solutions and robustness with respect to external perturbations of the right-hand term are investigated. Moreover, notions of regularity for stratifications are discussed.

机译：本文涉及状态约束的不连续常微分方程，对于该方程，相应的矢量场具有一组形成状态域分层的奇点。对于右手项的外部扰动，研究了解的存在性和鲁棒性。此外，讨论了分层规律性的概念。

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来源
《Discrete and continuous dynamical systems》 |2015年第9期|4415-4437|共23页
作者
CRISTOPHER HERMOSILLA;
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作者单位

Project Commands INRIA Saclay & ENSTA ParisTech 828, Boulevard des Maréchaux, 91762 Palaiseau, France;

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正文语种 eng
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关键词
Discontinuous vector fields; stratified systems; existence of solutions; robustness; state-constrained ODEs.;

机译：不连续向量场;分层系统;解决方案的存在;健壮性受状态约束的ODE。;

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6. Perturbations of Discontinuous Solutions of Non-Linear Systems of Differential Equations [O] . Norman Levinson 1947

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8. Sufficient Conditions for Optimal Control of a General Class of Linear Functional Differential Equations [R] . McClamroch, N. H. 1970

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STRATIFIED DISCONTINUOUS DIFFERENTIAL EQUATIONS AND SUFFICIENT CONDITIONS FOR ROBUSTNESS

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