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DOI:10.1631/FITEE.1900504 - Corpus ID: 225146962
@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
7
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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
- Yuna LiuHaitao Li
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This paper investigates the relations of controllability and observability between continuous-time linear system and its projective system. By using the V-addition, the projective system on a lower…
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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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Dynamic evolution behaviors of dimension-varying control systems often appear in the genetic regulatory network and the vehicle clutch system etc. An interesting and significant study on…
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Asian Journal of Control
The quotient space approach is considered as an effective and pioneering tool to model the transient dynamics of dimension‐varying systems recently. In this paper, we focus on the controllability of…
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2023 35th Chinese Control and Decision Conference…
Least square approximated linear systems are projection of linear systems on space of different dimensions, which are proposed to model dimension-varying systems. The projection from linear systems…
- D. Cheng
- 2022
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ArXiv
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
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- D. ChengZhengping Ji
- 2023
Mathematics, Engineering
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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…
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- Tiantian MuJun‐e Feng
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Computer Science, Engineering
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This paper provides a comprehensive knowledge overview of Boolean control networks with time delays via the semi‐tensor product theory (STP), which includes the history of BNs, the property of STP, several issues of TBCNs and future prospects.
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- 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…
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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.
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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.
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