南方科技大学知识苑(SUSTech KC): A PHASE THEORY OF MULTI-INPUT MULTI-OUTPUT LINEAR TIME-INVARIANT SYSTEMS

题名	A PHASE THEORY OF MULTI-INPUT MULTI-OUTPUT LINEAR TIME-INVARIANT SYSTEMS
作者	Chen, Wei 1,2; Wang, Dan 3; Khong, Sei zhen 4; Qiu, Li5,6
通讯作者	Chen, Wei
发表日期	2024
DOI	10.1137/22M148968X
发表期刊	SIAM JOURNAL ON CONTROL AND OPTIMIZATION 影响因子和分区
ISSN	0363-0129
EISSN	1095-7138
卷号	62 期号:2
摘要	In this paper, we define the phase response for a class of multi -input multi -output (MIMO) linear time -invariant (LTI) systems whose frequency responses are (semi -)sectorial at all frequencies. The newly defined phase subsumes the well-known notion of positive real systems and is closely related to the notion of negative imaginary systems. We formulate a small phase theorem for feedback stability, which complements the small gain theorem. The small phase theorem lays the foundation of a phase theory of MIMO systems. We also discuss time -domain interpretations of phase -bounded systems via both energy signal analysis and power signal analysis.
关键词	phase theory MIMO phase response Phi infty sector small phase theorem
相关链接	[来源记录]
收录类别	SCI ; EI
语种	英语
学校署名	其他
资助项目	National Natural Science Foun-dation of China (NSF)["62073003","72131001"] ; Hong Hong Research Grants Council (RGC)[GRF16200619]
WOS研究方向	Automation & Control Systems ; Mathematics
WOS类目	Automation & Control Systems ; Mathematics, Applied
WOS记录号	WOS:001203216700002
出版者	SIAM PUBLICATIONS
ESI学科分类	ENGINEERING
来源库	Web of Science
引用统计	被引频次[WOS]：2
成果类型	期刊论文
条目标识符	http://sustech.caswiz.com/handle/2SGJ60CL/788310
专题	南方科技大学
作者单位	1.Peking Univ, Dept Mech & Engn Sci, Beijing 100871, Peoples R China 2.Peking Univ, State Key Lab Turbulence & Complex Syst, Beijing 100871, Peoples R China 3.KTH Royal Inst Technol, Div Decis & Control Syst, Stockholm, Sweden 4.Natl Sun Yat sen Univ, Dept Elect Engn, Kaohsiung, Taiwan 5.Southern Univ Sci & Technol, Shenzhen, Peoples R China 6.Hong Kong Univ Sci & Technol, Dept Elect & Comp Engn, Hong Kong, Peoples R China
推荐引用方式 GB/T 7714	Chen, Wei,Wang, Dan,Khong, Sei zhen,et al. A PHASE THEORY OF MULTI-INPUT MULTI-OUTPUT LINEAR TIME-INVARIANT SYSTEMS[J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION,2024,62(2).
APA	Chen, Wei,Wang, Dan,Khong, Sei zhen,&Qiu, Li.(2024).A PHASE THEORY OF MULTI-INPUT MULTI-OUTPUT LINEAR TIME-INVARIANT SYSTEMS.SIAM JOURNAL ON CONTROL AND OPTIMIZATION,62(2).
MLA	Chen, Wei,et al."A PHASE THEORY OF MULTI-INPUT MULTI-OUTPUT LINEAR TIME-INVARIANT SYSTEMS".SIAM JOURNAL ON CONTROL AND OPTIMIZATION 62.2(2024).