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Global Optimization of Polynomials over Real Algebraic Sets
期刊论文
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2019, 卷号: 32, 期号: 1, 页码: 158-184
作者:
Wang Chu
;
Yang Zhi-Hong
;
Zhi Lihong
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浏览/下载:18/0
  |  
提交时间:2019/04/02
Polynomial optimization
real algebraic set
generalized critical value
Witness to non-termination of linear programs
期刊论文
THEORETICAL COMPUTER SCIENCE, 2017, 卷号: 681, 页码: 75-100
作者:
Li, Yi
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  |  
浏览/下载:27/0
  |  
提交时间:2018/03/05
Linear loops
Program termination
Semi-algebraic sets
Witness to non-termination
Generating Semi-Algebraic Invariants for Non-Autonomous Polynomial Hybrid Systems
其他
2017-01-01
Wang, Qiuye
;
Li, Yangjia
;
Xia, Bican
;
Zhan, Naijun
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  |  
浏览/下载:4/0
  |  
提交时间:2017/12/03
Hybrid systems
invariants
non-autonomous systems
polynomial ideals
semi-algebraic sets.
BARRIER CERTIFICATES
SAFETY VERIFICATION
Open weak CAD and its applications
其他
2017-01-01
Han, Jingjun
;
Dai, Liyun
;
Hong, Hoon
;
Xia, Bican
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  |  
浏览/下载:8/0
  |  
提交时间:2017/12/03
Open weak CAD
Open weak delineable
CAD projection
Semi-definiteness
Copositivity
CYLINDRICAL ALGEBRAIC DECOMPOSITION
QUANTIFIER ELIMINATION
COPOSITIVE MATRICES
IMPROVED PROJECTION
INEQUALITIES
COMPLEXITY
Proving inequalities and solving global optimization problems via simplified CAD projection
其他
2015-01-01
Han, Jingjun
;
Jin, Zhi
;
Xia, Bican
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  |  
浏览/下载:7/0
  |  
提交时间:2017/12/03
CAD projection
Global optimization
Semi-definiteness
Polynomials
CYLINDRICAL ALGEBRAIC DECOMPOSITION
POLYNOMIAL INEQUALITIES
QUANTIFIER ELIMINATION
EXISTENTIAL THEORY
SETS
COEFFICIENTS
COMPLEXITY
SYSTEMS
THEOREM
SQUARES
Constructing fewer open cells by GCD computation in CAD projection
其他
2014-01-01
Han, Jingjun
;
Dai, Liyun
;
Xia, Bican
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  |  
浏览/下载:5/0
  |  
提交时间:2015/11/17
Solving parametric polynomial systems by RealComprehensiveTriangularize
会议论文
Seoul, Korea, Republic of, August 5, 2014 - August 9, 2014
作者:
Chen, Changbo
;
Maza, Marc Moreno
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浏览/下载:73/0
  |  
提交时间:2018/03/16
Algebraic Analysis on Asymptotic Stability of Switched Hybrid Systems
会议论文
HSCC 12: PROCEEDINGS OF THE 15TH ACM INTERNATIONAL CONFERENCE ON HYBRID SYSTEMS: COMPUTATION AND CONTROL, 2012-01-01
作者:
She, Zhikun
;
Xue, Bai
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  |  
浏览/下载:2/0
  |  
提交时间:2020/01/06
Multiple Lyapunov functions
real root classification
projection operator
semi-algebraic sets
Algebraic Analysis on Asymptotic Stability of Continuous Dynamical Systems
会议论文
ISSAC 2011: PROCEEDINGS OF THE 36TH INTERNATIONAL SYMPOSIUM ON SYMBOLIC AND ALGEBRAIC COMPUTATION, 2011-01-01
作者:
She, Zhikun
;
Xue, Bai
;
Zheng, Zhiming
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  |  
浏览/下载:2/0
  |  
提交时间:2020/01/06
Lyapunov matrix equations
Lyapunov functions
semi-algebraic sets
real root classification
Computing cylindrical algebraic decomposition via triangular decomposition
其他
2009-01-01
Chen, Changbo
;
Maza, Marc Moreno
;
Xia, Bican
;
Yang, Lu
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  |  
浏览/下载:4/0
  |  
提交时间:2015/11/13
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