Sum-of-squares optimization

Results: 18



#Item
11Control theory / Cybernetics / Science / Nonlinear control / Mathematical optimization / Lyapunov stability / Lyapunov function / Sum-of-squares optimization / Backstepping / Systems theory / Dynamical systems / Stability theory

Relaxing Global Decrescence Conditions in Lyapunov Theorems for Hybrid Systems Victor Shia ∗ Robert Peter Matthew ∗ Ram Vasudevan ∗∗ Ruzena Bajcsy ∗ ∗

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Source URL: www.eecs.berkeley.edu

Language: English - Date: 2014-04-22 12:48:24
12Control theory / Dynamical systems / Mathematical analysis / Linear differential equation / Lyapunov stability / Chemotaxis / State space / Sum-of-squares optimization / PROPT / Biology / Systems theory / Mathematical optimization

Algorithms for Discriminating between Biochemical Reaction Network Models: Towards Systematic Experimental Design

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Source URL: sysos.eng.ox.ac.uk

Language: English - Date: 2012-03-04 12:58:18
13Homogeneous polynomials / Polynomials / Monomial basis / Monomial / Sum-of-squares optimization / Positive polynomial / Multivariate division algorithm / Elementary symmetric polynomial / Mathematics / Algebra / Abstract algebra

Basis selection for SOS programs via facial reduction and polyhedral approximations Frank Permenter1 Abstract— We develop a monomial basis selection procedure for sum-of-squares (SOS) programs based on facial reduction

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Source URL: groups.csail.mit.edu

Language: English - Date: 2014-09-21 11:13:41
14Homogeneous polynomials / Polynomials / Mathematical optimization / Sum-of-squares optimization / Monomial / Positive polynomial / Elementary symmetric polynomial / Symmetric polynomial / Mathematics / Algebra / Abstract algebra

Basis selection for SOS programs via facial reduction and polyhedral approximations Frank Permenter1 Abstract— We develop a monomial basis selection procedure for sums-of-squares (SOS) programs that is based on facial

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Source URL: groups.csail.mit.edu

Language: English - Date: 2014-07-15 10:53:14
15Calculus / Stability theory / Lyapunov function / Sum-of-squares optimization / Linear dynamical system / Linearization / State space / Control theory / Differential of a function / Dynamical systems / Mathematical analysis / Mathematics

Stability and Robustness Analysis of Nonlinear Systems via Contraction Metrics and SOS Programming Erin M. Aylward a , Pablo A. Parrilo b , Jean-Jacques E. Slotine c a Laboratory for Information and Decision Systems, MI

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Source URL: web.mit.edu

Language: English - Date: 2008-11-20 14:02:27
16Binomial coefficient / Factorization of polynomials over a finite field and irreducibility tests / Mathematics / Polynomials / Mathematical analysis

A SUM OF SQUARES APPROXIMATION OF NONNEGATIVE POLYNOMIALS JEAN B. LASSERRE∗

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Source URL: www.optimization-online.org

Language: English - Date: 2005-09-23 04:58:48
17Real algebraic geometry / Matrix / Quadratic form / Rank / Polynomial / Least squares / Regression analysis / Sum-of-squares optimization / Linear least squares / Algebra / Mathematics / Linear algebra

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Source URL: www.mathcs.emory.edu

Language: English - Date: 2006-02-09 13:49:24
18Mathematical optimization / Econometrics / Numerical linear algebra / Total least squares / Low-rank approximation / Linear regression / Singular value decomposition / Matrix / Residual sum of squares / Statistics / Regression analysis / Least squares

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Source URL: eprints.ecs.soton.ac.uk

Language: English
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