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基于隐函数方法的离散双线性系统临近可控性研究
  • 项目名称：基于隐函数方法的离散双线性系统临近可控性研究
  • 项目类别：青年科学基金项目
  • 批准号：61203231
  • 申请代码：F030109
  • 项目来源：国家自然科学基金
  • 研究期限：2013-01-01-2015-12-31
  • 项目负责人：铁林
  • 依托单位：北京航空航天大学
  • 批准年度：2012
中文摘要：

一非线性系统，若关于状态和控制分别、但不同时是线性的，则称为双线性系统。本课题以离散双线性系统为对象，针对临近可控性问题展开研究。开展此项研究是基于以下三方面。第一，双线性系统是一类特殊的非线性系统，广泛存在于现实世界中，如工程、经济、生物等领域，是最接近于线性系统的非线性系统。用双线性系统逼近非线性系统具有比线性逼近更准确、精确的效果。第二，随着计算机技术的普及，离散控制系统的重要性日益突出，其分析与综合已成为现代控制理论的重要组成部分。第三，可控性是控制科学的基本概念，并在数学控制理论中发挥重要作用。临近可控性则是近年新提出、包含了可控性的更广泛的概念，更全面地描述了系统的性质。本课题采用一种隐函数方法，重点研究并解决离散双线性系统的临近可控性问题，给出判据。具体研究内容包括自身可控性、局部可控性、连通性、临近可控性、镇定性等问题。预期研究成果将对双线性系统理论的发展具有重要推动意义。

中文主题词： 双线性系统；离散系统；可控性；临近可控性；临近可控子空间
结论摘要：

英文主题词Bilinear Systems；Discrete-time Systems；Controllability；Near-controllability；Nearly-controllable Subspaces

成果综合统计
成果类型
数量
  • 期刊论文
  • 会议论文
  • 专利
  • 获奖
  • 著作
  • 27
  • 33
  • 0
  • 0
  • 0
期刊论文
A linear algebraic criterion for controllability of both continuous-time and discrete-time symmetric
A root locus approach to near-controllability of a class of discrete-time bilinear systems with appl
On controllability and near-controllability of discrete-time inhomogeneous bilinear systems without
On small-controllability of a class of Hammerstein-nonlinear systems—an implicit function approach
On the existence of complex roots of real polynomials
On controllability of two-dimensional discrete-time bilinear systems
On small-controllability and controllability of a class of nonlinear systems
Distributed robust finite-time nonlinear consensus protocols for multi-agent systems
On near-controllability, nearly-controllable subspaces, and near-controllability index of a class of
On nearly-controllable subspaces of a class of discrete-time bilinear systems
会议论文
On near-controllability of a class of three-dimensional discrete-time bilinear systems
Hyperbolic tangent function based adaptive trajectory tracking control for quadrotors
On controllability of a class of two-dimensional multi-input discrete-time bilinear systems
On controllability of a class of two-dimensional multi-input discrete-time bilinear systems
基于有限时间快速滑模控制的VTOL飞行器全局鲁棒镇定
新型快速非线性跟踪微分器及其性能分析
On computing control inputs to achieve state transition for a class of nearly controllable discrete-
On near-controllability of a class of three-dimensional discrete-time bilinear systems with system m
On small-controllability of a discrete-time nonlinear system
Further results on small-controllability of a class of Hammerstein-nonlinear systems
Further results on small-controllability of a class of Hammerstein-nonlinear systems
A new coordinated path-following control for second-order multi-agent systems
Three-dimensional consensus path-following for second-order multi-agent networks
A note on near-controllability of discrete-time upper-triangular bilinear systems
A note on near-controllability of discrete-time upper-triangular bilinear systems
On computing control inputs to achieve state transition for a class of nearly controllable discrete-
On computing control inputs to achieve state transition for a class of nearly controllable discrete-
On controllabilityof discrete-time multi-input inhomogeneous bilinear systems without drift
Fixed-Time Consensus for Multi-Agent Systems Under Directed and Switching Interaction Topology
A note on near-controllability of discrete-time upper-triangular bilinear systems
A note on near-controllability of discrete-time upper-triangular bilinear systems
Further results on small-controllability of a class of Hammerstein-nonlinear systems
Further results on small-controllability of a class of Hammerstein-nonlinear systems
On controllability of driftless inhomogeneous bilinear systems
On computing control inputs to achieve state transition for a class of nearly controllable discrete-
On stabilization of continuous-time and discrete-time symmetric bilinear systems by constant control
On stabilization of continuous-time and discrete-time symmetric bilinear systems by constant control
On stabilization of continuous-time and discrete-time symmetric bilinear systems by constant control
On stabilization of continuous-time and discrete-time symmetric bilinear systems by constant control
Robust global stabilization of the VTOL aircraft based on finite-time fast terminal sliding mode con
On controllability of a class of two-dimensional multi-input discrete-time bilinear systems
On controllability of a class of two-dimensional multi-input discrete-time bilinear systems
New types of high-speed nonlinear tracking differentiator with property analysis
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铁林的项目
状态仿射离散非线性系统可控性与小可控性研究