Matches in SemOpenAlex for { <https://semopenalex.org/work/W2994872199> ?p ?o ?g. }
- W2994872199 endingPage "4663" @default.
- W2994872199 startingPage "4648" @default.
- W2994872199 abstract "This article studies the parameter tuning problem of positive linear systems for optimizing their stability properties. We specifically show that, under certain regularity assumptions on the parameterization, the problem of finding the minimum-cost parameters that achieve a given requirement on a system norm reduces to a geometric program, which, in turn, can be exactly and efficiently solved by convex optimization. The flexibility of geometric programming allows the state, input, and output matrices of the system to simultaneously depend on the parameters to be tuned. The class of system norms under consideration includes the H <sup xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>2</sup> norm, H <sup xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>∞</sup> norm, Hankel norm, and Schatten p-norm. Also, the parameter tuning problem for ensuring the robust stability of the system under structural uncertainties is shown to be solved by geometric programming. The proposed optimization framework is further extended to delayed positive linear systems, where it is shown that the parameter tuning problem jointly constrained by the exponential decay rate, the L <sup xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>1</sup> -gain, and the L <sup xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>∞</sup> -gain can be solved by convex optimization. The assumption on the system parameterization is stated in terms of posynomial functions, which form a broad class of functions and thus allow us to deal with various interesting positive linear systems arising from, for example, dynamical buffer networks and epidemic spreading processes. We present numerical examples to illustrate the effectiveness of the proposed optimization framework." @default.
- W2994872199 created "2019-12-26" @default.
- W2994872199 creator A5038930344 @default.
- W2994872199 creator A5051410414 @default.
- W2994872199 creator A5063096526 @default.
- W2994872199 date "2020-11-01" @default.
- W2994872199 modified "2023-10-01" @default.
- W2994872199 title "Geometric Programming for Optimal Positive Linear Systems" @default.
- W2994872199 cites W1508885083 @default.
- W2994872199 cites W1510747926 @default.
- W2994872199 cites W1878853999 @default.
- W2994872199 cites W1972450444 @default.
- W2994872199 cites W1984714339 @default.
- W2994872199 cites W2002462683 @default.
- W2994872199 cites W2004325824 @default.
- W2994872199 cites W2008782864 @default.
- W2994872199 cites W2009061780 @default.
- W2994872199 cites W2018403127 @default.
- W2994872199 cites W2022780534 @default.
- W2994872199 cites W2026603289 @default.
- W2994872199 cites W2065043066 @default.
- W2994872199 cites W2076534827 @default.
- W2994872199 cites W2079629840 @default.
- W2994872199 cites W2080083999 @default.
- W2994872199 cites W2089639803 @default.
- W2994872199 cites W2095590702 @default.
- W2994872199 cites W2095750723 @default.
- W2994872199 cites W2110852762 @default.
- W2994872199 cites W2112820013 @default.
- W2994872199 cites W2118820208 @default.
- W2994872199 cites W2119652329 @default.
- W2994872199 cites W2126749600 @default.
- W2994872199 cites W2128195908 @default.
- W2994872199 cites W2132210216 @default.
- W2994872199 cites W2142219971 @default.
- W2994872199 cites W2145067072 @default.
- W2994872199 cites W2165716201 @default.
- W2994872199 cites W2168381406 @default.
- W2994872199 cites W2171048418 @default.
- W2994872199 cites W2234065644 @default.
- W2994872199 cites W2239251014 @default.
- W2994872199 cites W2268002914 @default.
- W2994872199 cites W2273786571 @default.
- W2994872199 cites W2437116352 @default.
- W2994872199 cites W2519567097 @default.
- W2994872199 cites W2565648610 @default.
- W2994872199 cites W2568592571 @default.
- W2994872199 cites W2569708255 @default.
- W2994872199 cites W2576152412 @default.
- W2994872199 cites W2588279938 @default.
- W2994872199 cites W2607709526 @default.
- W2994872199 cites W2766140252 @default.
- W2994872199 cites W2778175952 @default.
- W2994872199 cites W2911278547 @default.
- W2994872199 cites W2962865436 @default.
- W2994872199 cites W2963734869 @default.
- W2994872199 cites W3104301601 @default.
- W2994872199 cites W37474330 @default.
- W2994872199 cites W4235143360 @default.
- W2994872199 doi "https://doi.org/10.1109/tac.2019.2960697" @default.
- W2994872199 hasPublicationYear "2020" @default.
- W2994872199 type Work @default.
- W2994872199 sameAs 2994872199 @default.
- W2994872199 citedByCount "25" @default.
- W2994872199 countsByYear W29948721992020 @default.
- W2994872199 countsByYear W29948721992021 @default.
- W2994872199 countsByYear W29948721992022 @default.
- W2994872199 countsByYear W29948721992023 @default.
- W2994872199 crossrefType "journal-article" @default.
- W2994872199 hasAuthorship W2994872199A5038930344 @default.
- W2994872199 hasAuthorship W2994872199A5051410414 @default.
- W2994872199 hasAuthorship W2994872199A5063096526 @default.
- W2994872199 hasBestOaLocation W29948721992 @default.
- W2994872199 hasConcept C112680207 @default.
- W2994872199 hasConcept C118615104 @default.
- W2994872199 hasConcept C126255220 @default.
- W2994872199 hasConcept C157972887 @default.
- W2994872199 hasConcept C17744445 @default.
- W2994872199 hasConcept C191795146 @default.
- W2994872199 hasConcept C199539241 @default.
- W2994872199 hasConcept C20729856 @default.
- W2994872199 hasConcept C2524010 @default.
- W2994872199 hasConcept C28826006 @default.
- W2994872199 hasConcept C33923547 @default.
- W2994872199 hasConcept C41008148 @default.
- W2994872199 hasConcept C41045048 @default.
- W2994872199 hasConceptScore W2994872199C112680207 @default.
- W2994872199 hasConceptScore W2994872199C118615104 @default.
- W2994872199 hasConceptScore W2994872199C126255220 @default.
- W2994872199 hasConceptScore W2994872199C157972887 @default.
- W2994872199 hasConceptScore W2994872199C17744445 @default.
- W2994872199 hasConceptScore W2994872199C191795146 @default.
- W2994872199 hasConceptScore W2994872199C199539241 @default.
- W2994872199 hasConceptScore W2994872199C20729856 @default.
- W2994872199 hasConceptScore W2994872199C2524010 @default.
- W2994872199 hasConceptScore W2994872199C28826006 @default.
- W2994872199 hasConceptScore W2994872199C33923547 @default.
- W2994872199 hasConceptScore W2994872199C41008148 @default.