基于轨线包线计算的连续LTV系统计算机稳定性分析

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• 英文论文题名：Computer stability analysis for continuous LTV systems based on the computation of envelope of all trajectories
• 论文作者：陈志华 ; 解永春
• 英文论文作者：Zhihua Chen ; Yongchun Xie ; Beijing Institute of Control Engineering ; Science and Technology on Space Intelligent Control Laboratory ; Tianjin Key Laboratory of Microgravity and Hypogravity Environment Simulation Technology
• 年：2017
• 作者机构：北京控制工程研究所;空间智能控制技术重点实验室;天津市微低重力环境模拟技术重点实验室;
• 论文关键词：线性时变连续系统 ; 实用稳定性 ; 有限时间稳定性 ; 计算机意义稳定性 ; 轨线包线计算
• 英文论文关键词：continuous LTV system ; practical system ; finite-time stability ; computer stability ; computation of envelope of all trajectories
• 会议召开时间：2017-07-26
• 会议录名称：第36届中国控制会议论文集（A）
• 英文会议录名称：Proceedings of the 36th Chinese Control Conference（A）
• 语种：中文
• 分类号：O175
• 学会代码：KZLL
• 会议名称：第36届中国控制会议
• 会议地点：中国辽宁大连
• 主办单位：中国自动化学会控制理论专业委员会
• 学会名称：中国自动化学会控制理论专业委员会
• 页数：8
• 文件大小：461k
• 原文格式：D
• 会议级别：全国

摘要

本文基于实用稳定性和有限时间稳定性的概念,考虑初始时刻在给定有限时间区间内变动情形,首次提出了计算机意义下的稳定性概念,包括计算机稳定、一致稳定、渐近稳定、一致渐近稳定.针对连续LTV系统的计算机意义稳定性判定问题,本文通过计算系统所有轨线的包线的思想,给出了判定计算机稳定性的几个定理.本文结果解决了连续LTV系统关于初始时刻的"一致"有限时间渐近稳定性分析问题.
Based on the concept of practical stability and finite-time stability, the paper firstly defines the concept of computer stability which is considering the initial time varying in a finite interval. The concept of computer stability consists of stability, uniformly stability, asymptotic stability, and uniformly asymptotic stability in the sense of computer. Based on the computation of envelope of all trajectories, the paper gives several decision theorems for the computer stability analysis of continuous LTV systems. The results of the paper handle the problem on ‘uniformly' finite-time asymptotic stability analysis for continuous LTV systems relative to initial time.

引文

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