Solution and stability of continuous-time cross-dimensional linear systems | Semantic Scholar (2024)

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@article{Zhang2020SolutionAS, title={Solution and stability of continuous-time cross-dimensional linear systems}, author={Qinglei Zhang and Biao Wang and Jun‐e Feng}, journal={Frontiers of Information Technology \& Electronic Engineering}, year={2020}, volume={22}, pages={210 - 221}, url={https://api.semanticscholar.org/CorpusID:225146962}}
  • Qinglei Zhang, Biao Wang, Jun‐e Feng
  • Published in Frontiers of Information… 6 October 2020
  • Mathematics, Engineering

This work investigates the solution and stability of continuous-time cross-dimensional linear systems (CCDLSs) with dimension bounded by V-addition and V-product with a necessary and sufficient condition derived for judging whether a CCDLS is asymptotically stable with a given initial state.

13 Citations

Background Citations

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Topics

Continuous-time (opens in a new tab)Matrix (opens in a new tab)Domain Of Attraction (opens in a new tab)Asymptotically Stable (opens in a new tab)Linear Systems (opens in a new tab)

13 Citations

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M M -2 semitensor product is a new and very useful mathematical tool, which breaks the limitation of traditional matrix multiplication on the dimension of matrices and has a wide

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    Asian Journal of Control

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A Note on Least Square Approximated Linear Systems*
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    2023 35th Chinese Control and Decision Conference…

  • 2023

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From Dimension-Free Manifold to Dimension-varying (Control) System
    D. Cheng

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    ArXiv

  • 2022

Starting from the projection among Euclidean space of different dimensions(ESDD), the inner product, norm, and distance of two vectors of different dimensions are proposed, which lead to an

  • 3
  • PDF
From dimension-free manifolds to dimension-varying control systems
    D. ChengZhengping Ji

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    Commun. Inf. Syst.

  • 2023

Starting from the vector multipliers, the inner product, norm, distance, as well as addition of two vectors of different dimensions are proposed, which makes the spaces into a topological vector

  • 8
  • PDF
A survey on applications of the semi‐tensor product method in Boolean control networks with time delays
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    Engineering Reports

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  • PDF
Simplification of logical functions with application to circuits
    Jun‐e FengRong ZhaoYanjun Cui

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The simplification problem of logical functions is investigated via the matrix method. First, necessary and sufficient conditions are put forward for the decomposition of logical matrices. Based on

...

...

25 References

Stability analysis of nonlinear switched systems with sampled-data controllers
    Zhichuang WangGuoliang ChenHezhen Ba

    Engineering, Mathematics

    Appl. Math. Comput.

  • 2019
  • 28
On Dimensions of Linear Discrete Dimension-unbounded Systems
    Jun‐e FengBiao WangYongyuan Yu

    Mathematics, Engineering

  • 2020

This letter investigates the variance of state dimensions of linear discrete dimension-unbounded systems, which are a class of cross-dimensional systems. First, the dimensional relationship of

  • 12
Persistent impulsive effects on stability of functional differential equations with finite or infinite delay
    Xiaodi LiJianhua ShenR. Rakkiyappan

    Mathematics

    Appl. Math. Comput.

  • 2018
  • 156
  • PDF
Set stability of switched delayed logical networks with application to finite-field consensus
    Yalu LiHaitao LiXueying Ding

    Computer Science, Engineering

    Autom.

  • 2020
  • 63
Stabilization of Switched Nonlinear Systems with Unstable Modes
    Hao YangBin JiangV. Cocquempot

    Engineering, Mathematics

  • 2014

The recent theoretical results on the stabilization of switched nonlinear systems with unstable modes with two cases are considered.

  • 25
A class of new extended shift-splitting preconditioners for saddle point problems
    Na-Na WangJicheng Li

    Mathematics, Engineering

    J. Comput. Appl. Math.

  • 2019
  • 14
  • PDF
Controllability Analysis for a Networked Dynamic System With Autonomous Subsystems
    Yuan ZhangT. Zhou

    Engineering

    IEEE Transactions on Automatic Control

  • 2017

It is revealed that heterogenous networked systems under some assumptions can be separated into several independent subnetworks, such that the controllability of the whole system is equal to the controlling of each subnetwork.

  • 53
Linear System on Dimension-Varying State Space
    D. ChengHongsheng QiZequn Liu

    Engineering, Mathematics

    2018 IEEE 14th International Conference on…

  • 2018

An inner product is provided for dimension-varying state space and a projection from higher dimensional vector space to lowerdimensional vector space is proposed, which is used to build least square approximated lower dimensional systems for higher dimensional systems.

  • 13
Review of stability and stabilization for impulsive delayed systems.
    Xueyan YangXiaodi LiQiang XiPeiyong Duan

    Mathematics, Engineering

    Mathematical biosciences and engineering : MBE

  • 2018

This paper reviews some recent works on impulsive delayed systems (IDSs) and provides a comprehensive and intuitive overview of IDSs, including basic theory, stability analysis, impulsive control,Impulsive perturbation, and delayed impulses.

  • 156
  • PDF
Policy Iteration Algorithm for Optimal Control of Stochastic Logical Dynamical Systems
    Yuhu WuT. Shen

    Computer Science, Mathematics

    IEEE Transactions on Neural Networks and Learning…

  • 2018

A succinct algebraic form of the policy iteration algorithm is derived to solve the infinite horizon optimal control problem for stochastic multivalued logical dynamical systems with discounted cost.

  • 49

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