FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W1540167997> ?p ?o ?g. }

• W1540167997 abstract "A wide variety of stability and performance problems for linear and certain classes of nonlinear dynamical systems can be formulated as convex optimization problems involving linear matrix inequalities (LMIs). These formulations can be solved numerically with computationally-efficient interior-point methods. Many of the first LMI-based stability formulations applied to linear systems and the class of nonlinear systems representable as an interconnection of a linear system with bounded uncertainty blocks. Recently, stability and performance analyses of more general nonlinear deterministic systems, namely those with polynomial or rational dynamics, have been converted into an LMI framework using sum of squares (SOS) programming. SOS programming combines elements of computational algebra and convex optimization to provide efficient convex relaxations for various computationally-hard problems. In this thesis we extend the class of systems that can be analyzed with LMI-based methods. We show how to analyze the robust stability properties of uncertain nonlinear systems with polynomial or rational dynamics, as well as a class of systems with external inputs, via contraction analysis and SOS programming. Specifically, we show how contraction analysis, a stability theory for nonlinear dynamical systems in which stability is defined incrementally between two arbitrary trajectories via a contraction metric, provides a useful framework for analyzing the stability of uncertain systems. Then, using SOS programming we develop an algorithmic method to search for contraction metrics for these systems. The search process is made computationally tractable by relaxing matrix definiteness constraints, the feasibility of which indicates the existence of a contraction metric, to SOS constraints on polynomial matrices. We illustrate our results through examples from the literature and show how our contraction-based approach offers advantages when compared with traditional Lyapunov analysis. Thesis Supervisor: Pablo A. Parrilo Title: Associate Professor of Electrical Engineering and Computer Science" @default.
• W1540167997 created "2016-06-24" @default.
• W1540167997 creator A5085662696 @default.
• W1540167997 date "2006-01-01" @default.
• W1540167997 modified "2023-09-28" @default.
• W1540167997 title "Robust stability and contraction analysis of nonlinear systems via semidefinite optimization" @default.
• W1540167997 cites W1487127700 @default.
• W1540167997 cites W1496537269 @default.
• W1540167997 cites W1515569264 @default.
• W1540167997 cites W1603586556 @default.
• W1540167997 cites W1868559974 @default.
• W1540167997 cites W1876456565 @default.
• W1540167997 cites W1964730816 @default.
• W1540167997 cites W1967073510 @default.
• W1540167997 cites W1967184028 @default.
• W1540167997 cites W1967344706 @default.
• W1540167997 cites W1999461383 @default.
• W1540167997 cites W1999913571 @default.
• W1540167997 cites W2002357820 @default.
• W1540167997 cites W2004470537 @default.
• W1540167997 cites W2009253901 @default.
• W1540167997 cites W2046874050 @default.
• W1540167997 cites W2051138581 @default.
• W1540167997 cites W2055993677 @default.
• W1540167997 cites W2090167557 @default.
• W1540167997 cites W2096681792 @default.
• W1540167997 cites W2097944741 @default.
• W1540167997 cites W2099303527 @default.
• W1540167997 cites W2110331379 @default.
• W1540167997 cites W2110810430 @default.
• W1540167997 cites W2133404041 @default.
• W1540167997 cites W2134889984 @default.
• W1540167997 cites W2136224174 @default.
• W1540167997 cites W2149845256 @default.
• W1540167997 cites W2151779884 @default.
• W1540167997 cites W2160766917 @default.
• W1540167997 cites W2165861322 @default.
• W1540167997 cites W2177679255 @default.
• W1540167997 cites W2255439832 @default.
• W1540167997 cites W225949253 @default.
• W1540167997 cites W2312849699 @default.
• W1540167997 cites W2345623282 @default.
• W1540167997 cites W2495941112 @default.
• W1540167997 cites W2536620281 @default.
• W1540167997 cites W2546229283 @default.
• W1540167997 cites W2611147814 @default.
• W1540167997 cites W2912522929 @default.
• W1540167997 cites W3195133498 @default.
• W1540167997 cites W3210839039 @default.
• W1540167997 cites W99708544 @default.
• W1540167997 hasPublicationYear "2006" @default.
• W1540167997 type Work @default.
• W1540167997 sameAs 1540167997 @default.
• W1540167997 citedByCount "1" @default.
• W1540167997 countsByYear W15401679972018 @default.
• W1540167997 crossrefType "dissertation" @default.
• W1540167997 hasAuthorship W1540167997A5085662696 @default.
• W1540167997 hasConcept C101901036 @default.
• W1540167997 hasConcept C104317684 @default.
• W1540167997 hasConcept C112680207 @default.
• W1540167997 hasConcept C112972136 @default.
• W1540167997 hasConcept C115527620 @default.
• W1540167997 hasConcept C119857082 @default.
• W1540167997 hasConcept C121332964 @default.
• W1540167997 hasConcept C126255220 @default.
• W1540167997 hasConcept C126322002 @default.
• W1540167997 hasConcept C134306372 @default.
• W1540167997 hasConcept C137836250 @default.
• W1540167997 hasConcept C155253501 @default.
• W1540167997 hasConcept C157972887 @default.
• W1540167997 hasConcept C158622935 @default.
• W1540167997 hasConcept C163415756 @default.
• W1540167997 hasConcept C185592680 @default.
• W1540167997 hasConcept C201829737 @default.
• W1540167997 hasConcept C2524010 @default.
• W1540167997 hasConcept C33923547 @default.
• W1540167997 hasConcept C34388435 @default.
• W1540167997 hasConcept C41008148 @default.
• W1540167997 hasConcept C55493867 @default.
• W1540167997 hasConcept C62520636 @default.
• W1540167997 hasConcept C63479239 @default.
• W1540167997 hasConcept C71924100 @default.
• W1540167997 hasConcept C79379906 @default.
• W1540167997 hasConceptScore W1540167997C101901036 @default.
• W1540167997 hasConceptScore W1540167997C104317684 @default.
• W1540167997 hasConceptScore W1540167997C112680207 @default.
• W1540167997 hasConceptScore W1540167997C112972136 @default.
• W1540167997 hasConceptScore W1540167997C115527620 @default.
• W1540167997 hasConceptScore W1540167997C119857082 @default.
• W1540167997 hasConceptScore W1540167997C121332964 @default.
• W1540167997 hasConceptScore W1540167997C126255220 @default.
• W1540167997 hasConceptScore W1540167997C126322002 @default.
• W1540167997 hasConceptScore W1540167997C134306372 @default.
• W1540167997 hasConceptScore W1540167997C137836250 @default.
• W1540167997 hasConceptScore W1540167997C155253501 @default.
• W1540167997 hasConceptScore W1540167997C157972887 @default.
• W1540167997 hasConceptScore W1540167997C158622935 @default.
• W1540167997 hasConceptScore W1540167997C163415756 @default.
• W1540167997 hasConceptScore W1540167997C185592680 @default.
• W1540167997 hasConceptScore W1540167997C201829737 @default.

• next