FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W3002728680> ?p ?o ?g. }

• W3002728680 abstract "Feedback asymptotic stabilization of nonlinear control systems is an important topic of control theory and applications. Broadly speaking, if the system $dot{x} = f(x,u)$ is locally asymptotically stabilizable, then there exists a feedback control $u(x)$ ensuring the convergence to an equilibrium for any trajectory starting from a point sufficiently close to the equilibrium state. In this paper, we develop a reasonably natural and general composition operator approach to stabilizability of nonlinear systems. To begin with, we provide an extension of the classical Hautus lemma to the generalized context of composition operators and show that Brockett's theorem is still necessary for local asymptotic stabilizability in this generalized framework by using continuous operator compositions. Further, we employ a powerful version of the implicit function theorem--as given by Jittorntrum and Kumagai--to cover the situation where the system is stabilizable but only by means of non-${rm C}^{1}$ feedbacks. Under some injectivity criterion, this gives us a variety of sufficient conditions for stabilizability via composition operators and characterizations of what stabilizing controls must be like. Employing the obtained characterizations, we establish relationships between stabilizability in the conventional sense and in the generalized composition operator sense. Among other things, it gives us a stronger version of Coron's condition provided that a certain conjecture is true. We conclude by arguing that this perspective is the `correct' one to approach the problem of stabilizability for continuous-time dynamical systems." @default.
• W3002728680 created "2020-01-30" @default.
• W3002728680 creator A5006551481 @default.
• W3002728680 creator A5045297646 @default.
• W3002728680 creator A5066241737 @default.
• W3002728680 date "2020-01-23" @default.
• W3002728680 modified "2023-09-27" @default.
• W3002728680 title "Stabilization of Nonlinear Control Systems via Composition Operators" @default.
• W3002728680 cites W1484739396 @default.
• W3002728680 cites W1500527815 @default.
• W3002728680 cites W1604226557 @default.
• W3002728680 cites W1967548315 @default.
• W3002728680 cites W1971044547 @default.
• W3002728680 cites W1993637701 @default.
• W3002728680 cites W2031727844 @default.
• W3002728680 cites W2055486331 @default.
• W3002728680 cites W2097061644 @default.
• W3002728680 cites W2156982271 @default.
• W3002728680 cites W2605780841 @default.
• W3002728680 cites W2885473730 @default.
• W3002728680 cites W3040586665 @default.
• W3002728680 cites W564809451 @default.
• W3002728680 hasPublicationYear "2020" @default.
• W3002728680 type Work @default.
• W3002728680 sameAs 3002728680 @default.
• W3002728680 citedByCount "0" @default.
• W3002728680 crossrefType "posted-content" @default.
• W3002728680 hasAuthorship W3002728680A5006551481 @default.
• W3002728680 hasAuthorship W3002728680A5045297646 @default.
• W3002728680 hasAuthorship W3002728680A5066241737 @default.
• W3002728680 hasConcept C104317684 @default.
• W3002728680 hasConcept C121332964 @default.
• W3002728680 hasConcept C1276947 @default.
• W3002728680 hasConcept C13662910 @default.
• W3002728680 hasConcept C138885662 @default.
• W3002728680 hasConcept C151730666 @default.
• W3002728680 hasConcept C158448853 @default.
• W3002728680 hasConcept C158622935 @default.
• W3002728680 hasConcept C162324750 @default.
• W3002728680 hasConcept C167964875 @default.
• W3002728680 hasConcept C17020691 @default.
• W3002728680 hasConcept C185592680 @default.
• W3002728680 hasConcept C18903297 @default.
• W3002728680 hasConcept C199360897 @default.
• W3002728680 hasConcept C202444582 @default.
• W3002728680 hasConcept C2777303404 @default.
• W3002728680 hasConcept C2777759810 @default.
• W3002728680 hasConcept C2778029271 @default.
• W3002728680 hasConcept C2779343474 @default.
• W3002728680 hasConcept C2780990831 @default.
• W3002728680 hasConcept C28826006 @default.
• W3002728680 hasConcept C33923547 @default.
• W3002728680 hasConcept C40231798 @default.
• W3002728680 hasConcept C41008148 @default.
• W3002728680 hasConcept C41895202 @default.
• W3002728680 hasConcept C41949839 @default.
• W3002728680 hasConcept C46757340 @default.
• W3002728680 hasConcept C48209547 @default.
• W3002728680 hasConcept C50522688 @default.
• W3002728680 hasConcept C55493867 @default.
• W3002728680 hasConcept C62520636 @default.
• W3002728680 hasConcept C79379906 @default.
• W3002728680 hasConcept C86339819 @default.
• W3002728680 hasConcept C86803240 @default.
• W3002728680 hasConceptScore W3002728680C104317684 @default.
• W3002728680 hasConceptScore W3002728680C121332964 @default.
• W3002728680 hasConceptScore W3002728680C1276947 @default.
• W3002728680 hasConceptScore W3002728680C13662910 @default.
• W3002728680 hasConceptScore W3002728680C138885662 @default.
• W3002728680 hasConceptScore W3002728680C151730666 @default.
• W3002728680 hasConceptScore W3002728680C158448853 @default.
• W3002728680 hasConceptScore W3002728680C158622935 @default.
• W3002728680 hasConceptScore W3002728680C162324750 @default.
• W3002728680 hasConceptScore W3002728680C167964875 @default.
• W3002728680 hasConceptScore W3002728680C17020691 @default.
• W3002728680 hasConceptScore W3002728680C185592680 @default.
• W3002728680 hasConceptScore W3002728680C18903297 @default.
• W3002728680 hasConceptScore W3002728680C199360897 @default.
• W3002728680 hasConceptScore W3002728680C202444582 @default.
• W3002728680 hasConceptScore W3002728680C2777303404 @default.
• W3002728680 hasConceptScore W3002728680C2777759810 @default.
• W3002728680 hasConceptScore W3002728680C2778029271 @default.
• W3002728680 hasConceptScore W3002728680C2779343474 @default.
• W3002728680 hasConceptScore W3002728680C2780990831 @default.
• W3002728680 hasConceptScore W3002728680C28826006 @default.
• W3002728680 hasConceptScore W3002728680C33923547 @default.
• W3002728680 hasConceptScore W3002728680C40231798 @default.
• W3002728680 hasConceptScore W3002728680C41008148 @default.
• W3002728680 hasConceptScore W3002728680C41895202 @default.
• W3002728680 hasConceptScore W3002728680C41949839 @default.
• W3002728680 hasConceptScore W3002728680C46757340 @default.
• W3002728680 hasConceptScore W3002728680C48209547 @default.
• W3002728680 hasConceptScore W3002728680C50522688 @default.
• W3002728680 hasConceptScore W3002728680C55493867 @default.
• W3002728680 hasConceptScore W3002728680C62520636 @default.
• W3002728680 hasConceptScore W3002728680C79379906 @default.
• W3002728680 hasConceptScore W3002728680C86339819 @default.
• W3002728680 hasConceptScore W3002728680C86803240 @default.
• W3002728680 hasLocation W30027286801 @default.
• W3002728680 hasOpenAccess W3002728680 @default.

• next