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Internal positivity preserved model reduction
International Journal of Control, 2009This article studies model reduction of continuous-time stable positive linear systems under the Hankel norm, H ∞ norm and H 2 norm performance. The reduced-order systems preserve the stability as well as the positivity of the original systems. This is achieved by developing new necessary and sufficient conditions of the model reduction performances in
Jun-e Feng +3 more
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Preserving positive realness through discretization
Proceedings of the 2000 American Control Conference. ACC (IEEE Cat. No.00CH36334), 2000Continuous linear systems with positive real transfer functions have desirable stability and realizability properties. The conditions to guarantee that continuous positive realness is preserved under discretization by a standard sampler and zero order hold are investigated here.
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Nica’s q-Convolution is Not Positivity Preserving
Communications in Mathematical Physics, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Positivity-Preserving Scattered Data Interpolation
2005The construction of a C1 interpolant to scattered data is considered in which the interpolant is positive everywhere if the original data are positive. This study is motivated by earlier work in which sufficient conditions are derived on Bezier points in order to ensure that surfaces comprising cubic Bezier triangular patches are always positive.
Abd. Rahni Mt. Piah +2 more
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Preservations of Positive Realness under Discretizations
1993 American Control Conference, 1993Positive Realness preservation properties of five commonly used discretization methods have been examined in this paper.
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Families of positivity preserving but not completely positive superoperators
Physics Letters A, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The tail of a positivity-preserving semigroup
Israel Journal of Mathematics, 1974With certain assumptions a representation theorem is proved for the elements of $$ \cap _{\sigma \in \Sigma } $$ σS, where Σ is an abelian semigroup of, endomorphisms of a real vector space, andS is a convex antisymmetric cone.
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Preservation Librarian: Position Overview
201950 years after Frazer Poole was named the first Preservation Librarian at the Library of Congress, Preservation Librarianship is a small but mature field in research libraries. Since Poole began his work, the core responsibilities of the position, namely to ensure enduring access to collections acquired and held by libraries, remain essentially ...
Durant, Fletcher, Smith, Bonnie
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Positivity Preserving Model Reduction
2009We propose a model reduction method for positive systems that ensures the positivity of the reduced model. Our approach is based on constructing diagonal solutions of Lyapunov inequalities. These are linear matrix inequalities (LMIs), which are shown to be feasible.
Timo Reis, Elena Virnik
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Preserving Positive Isotropic Curvature
2010The condition of positive curvature on totally isotropic 2-planes was first introduced by Micallef and Moore [MM88].
Ben Andrews, Christopher Hopper
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