Matches in SemOpenAlex for { <https://semopenalex.org/work/W2048155531> ?p ?o ?g. }
Showing items 1 to 74 of
74
with 100 items per page.
- W2048155531 endingPage "e1297" @default.
- W2048155531 startingPage "e1289" @default.
- W2048155531 abstract "This is an important study concerned with the development of the concepts and methods of classical stability theory in reference to the problems of singularly perturbed class systems. The various aspects of complex system dynamics are considered. Methods of the modelling and analysis on the generalized methodology basis, combining the stability theory ideas and asymptotic theory manners, are elaborated. Non-traditional extended approach, formed on Lyapunov's methods, Chetayev's stability postulate and the singularity postulate, is worked out. It gives a universal tool that makes it possible to come close to solving fundamental problems in general stability theory for singular systems dynamics, including decomposition problem. Here generalized statements and stability problems for singularly perturbed class systems are considered. The matter of investigation is the object, for which the original mathematical models are presented in a standard form of singularly perturbed systems with parametric perturbations of non-regular type. The critical transcendental cases (in the Lyapunov sense), that are generated by applied problems of Mechanics are examined. Besides, the systems with peculiarities inherent for mechanical systems are considered: there is no uniform asymptotic stability property; the perturbed system is close to the boundary of stability domain; generating systems are non-limit, singular ones; the nominal systems are quasi-Tikhonov's ones (on N.N. Moiseev). The reduction conditions are determined, and under the stability problem for the original system is reduced to the investigation of a shortened, approximate system of a less order; moreover, in the general case, this shortened system is a singular one (in sense of A.N. Tikhonov, S. Campbell). It is obtained by the solution of singularly perturbed problem of stability for cases, when the spectra of corresponding matrices are critical (with zero real parts of eigenvalues both for slow and for fast variables). Regular algorithms for estimating the parameter values, permitting the reduction in stability problem, are constructed. The results are discussed, which give strong substantiation of reduction principle for considered class systems. The received results are generalizing and supplementing ones that are known in the stability and the perturbation theory; and these new results are interesting both for theory and for theoretical and engineering applications." @default.
- W2048155531 created "2016-06-24" @default.
- W2048155531 creator A5061748380 @default.
- W2048155531 date "2005-11-01" @default.
- W2048155531 modified "2023-09-29" @default.
- W2048155531 title "Some problems in stability theory of singularly perturbed systems with multiple time-scales" @default.
- W2048155531 cites W2035346143 @default.
- W2048155531 doi "https://doi.org/10.1016/j.na.2004.09.016" @default.
- W2048155531 hasPublicationYear "2005" @default.
- W2048155531 type Work @default.
- W2048155531 sameAs 2048155531 @default.
- W2048155531 citedByCount "4" @default.
- W2048155531 countsByYear W20481555312014 @default.
- W2048155531 countsByYear W20481555312016 @default.
- W2048155531 countsByYear W20481555312022 @default.
- W2048155531 crossrefType "journal-article" @default.
- W2048155531 hasAuthorship W2048155531A5061748380 @default.
- W2048155531 hasConcept C112972136 @default.
- W2048155531 hasConcept C119857082 @default.
- W2048155531 hasConcept C121332964 @default.
- W2048155531 hasConcept C134306372 @default.
- W2048155531 hasConcept C151201525 @default.
- W2048155531 hasConcept C154945302 @default.
- W2048155531 hasConcept C158622935 @default.
- W2048155531 hasConcept C16171025 @default.
- W2048155531 hasConcept C165160513 @default.
- W2048155531 hasConcept C167964875 @default.
- W2048155531 hasConcept C2775924081 @default.
- W2048155531 hasConcept C2776829284 @default.
- W2048155531 hasConcept C28826006 @default.
- W2048155531 hasConcept C33923547 @default.
- W2048155531 hasConcept C41008148 @default.
- W2048155531 hasConcept C41949839 @default.
- W2048155531 hasConcept C62354387 @default.
- W2048155531 hasConcept C62520636 @default.
- W2048155531 hasConceptScore W2048155531C112972136 @default.
- W2048155531 hasConceptScore W2048155531C119857082 @default.
- W2048155531 hasConceptScore W2048155531C121332964 @default.
- W2048155531 hasConceptScore W2048155531C134306372 @default.
- W2048155531 hasConceptScore W2048155531C151201525 @default.
- W2048155531 hasConceptScore W2048155531C154945302 @default.
- W2048155531 hasConceptScore W2048155531C158622935 @default.
- W2048155531 hasConceptScore W2048155531C16171025 @default.
- W2048155531 hasConceptScore W2048155531C165160513 @default.
- W2048155531 hasConceptScore W2048155531C167964875 @default.
- W2048155531 hasConceptScore W2048155531C2775924081 @default.
- W2048155531 hasConceptScore W2048155531C2776829284 @default.
- W2048155531 hasConceptScore W2048155531C28826006 @default.
- W2048155531 hasConceptScore W2048155531C33923547 @default.
- W2048155531 hasConceptScore W2048155531C41008148 @default.
- W2048155531 hasConceptScore W2048155531C41949839 @default.
- W2048155531 hasConceptScore W2048155531C62354387 @default.
- W2048155531 hasConceptScore W2048155531C62520636 @default.
- W2048155531 hasIssue "5-7" @default.
- W2048155531 hasLocation W20481555311 @default.
- W2048155531 hasOpenAccess W2048155531 @default.
- W2048155531 hasPrimaryLocation W20481555311 @default.
- W2048155531 hasRelatedWork W2000941672 @default.
- W2048155531 hasRelatedWork W2017335847 @default.
- W2048155531 hasRelatedWork W2026055332 @default.
- W2048155531 hasRelatedWork W2089480326 @default.
- W2048155531 hasRelatedWork W2163024558 @default.
- W2048155531 hasRelatedWork W2184610930 @default.
- W2048155531 hasRelatedWork W2378841998 @default.
- W2048155531 hasRelatedWork W3082019227 @default.
- W2048155531 hasRelatedWork W4297799174 @default.
- W2048155531 hasRelatedWork W4307354647 @default.
- W2048155531 hasVolume "63" @default.
- W2048155531 isParatext "false" @default.
- W2048155531 isRetracted "false" @default.
- W2048155531 magId "2048155531" @default.
- W2048155531 workType "article" @default.