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科研机构
北京大学 [37]
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其他 [37]
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2017 [4]
2016 [2]
2015 [5]
2014 [3]
2013 [2]
2012 [1]
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专题:北京大学
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Generating Semi-Algebraic Invariants for Non-Autonomous Polynomial Hybrid Systems
其他
2017-01-01
Wang, Qiuye
;
Li, Yangjia
;
Xia, Bican
;
Zhan, Naijun
收藏
  |  
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
Barrier certificates revisited
其他
2017-01-01
Dai, Liyun
;
Gan, Ting
;
Xia, Bican
;
Zhan, Naijun
收藏
  |  
浏览/下载:6/0
  |  
提交时间:2017/12/03
Hybrid system
Barrier certificate
Formal verification
Invariant
Nonlinear system
Semi-definite programming
Sum of squares
HYBRID SYSTEMS
ALGORITHMIC ANALYSIS
SAFETY VERIFICATION
INVARIANTS
Open weak CAD and its applications
其他
2017-01-01
Han, Jingjun
;
Dai, Liyun
;
Hong, Hoon
;
Xia, Bican
收藏
  |  
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
Barrier certificates revisited
其他
2017-01-01
Dai, Liyun
;
Gan, Ting
;
Xia, Bican
;
Zhan, Naijun
收藏
  |  
浏览/下载:8/0
  |  
提交时间:2017/12/03
Hybrid system
Barrier certificate
Formal verification
Invariant
Nonlinear system
Semi-definite programming
Sum of squares
HYBRID SYSTEMS
ALGORITHMIC ANALYSIS
SAFETY VERIFICATION
INVARIANTS
Interpolant synthesis for quadratic polynomial inequalities and combination with EUF
其他
2016-01-01
Gan, Ting
;
Dai, Liyun
;
Xia, Bican
;
Zhan, Naijun
;
Kapur, Deepak
;
Chen, Mingshuai
收藏
  |  
浏览/下载:9/0
  |  
提交时间:2017/12/03
Computing Reachable Sets of Linear Vector Fields Revisited
其他
2016-01-01
Gan, Ting
;
Chen, Mingshuai
;
Li, Yangjia
;
Xia, Bican
;
Zhan, Naijun
收藏
  |  
浏览/下载:3/0
  |  
提交时间:2017/12/03
CYLINDRICAL ALGEBRAIC DECOMPOSITION
HYBRID SYSTEMS
QUANTIFIER ELIMINATION
IMPROVED PROJECTION
VERIFICATION
Smaller SDP for SOS decomposition
其他
2015-01-01
Dai, Liyun
;
Xia, Bican
收藏
  |  
浏览/下载:7/0
  |  
提交时间:2017/12/03
SOS
SDP
Newton polytope
Convex cover polynomial
Split polynomial
POLYNOMIAL OPTIMIZATION PROBLEMS
SQUARES
SUMS
RELAXATIONS
FORMS
ALGORITHM
SPARSITY
Proving inequalities and solving global optimization problems via simplified CAD projection
其他
2015-01-01
Han, Jingjun
;
Jin, Zhi
;
Xia, Bican
收藏
  |  
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
Special algorithm for stability analysis of multistable biological regulatory systems
其他
2015-01-01
Hong, Hoon
;
Tang, Xiaoxian
;
Xia, Bican
收藏
  |  
浏览/下载:9/0
  |  
提交时间:2017/12/03
Quantifier elimination
Root classification
Biological regulation system
Stability
CYLINDRICAL ALGEBRAIC DECOMPOSITION
APPLYING QUANTIFIER ELIMINATION
COMPUTATIONAL-COMPLEXITY
1ST-ORDER THEORY
3-DIMENSIONAL SPACE
IMPROVED PROJECTION
DECISION PROBLEM
GEOMETRY
REALS
PRELIMINARIES
Decidability of the Reachability for a Family of Linear Vector Fields
其他
2015-01-01
Gan, Ting
;
Chen, Mingshuai
;
Dai, Liyun
;
Xia, Bican
;
Zhan, Naijun
收藏
  |  
浏览/下载:7/0
  |  
提交时间:2017/12/03
Tarski&apos
Polynomial-exponential function
Reachability
Real root isolation
Cylindrical Algebraic Decomposition (CAD)
CYLINDRICAL ALGEBRAIC DECOMPOSITION
QUANTIFIER ELIMINATION
HYBRID SYSTEMS
IMPROVED PROJECTION
AUTOMATA
s algebra
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