Matches in SemOpenAlex for { <https://semopenalex.org/work/W2339833922> ?p ?o ?g. }
Showing items 1 to 77 of
77
with 100 items per page.
- W2339833922 abstract "Many dynamical systems can be modeled by a set of linear/nonlinear ordinary differential equations with periodic time-varying coefficients. The state transition matrix (STM) Φ(t,α), associated with the linear part of the equation, can be expressed in terms of the periodic Lyapunov–Floquét (L-F) transformation matrix Q(t,α) and a time-invariant matrix R(α) containing a set of symbolic system parameters α. Computation of Q(t,α) and R(α) in symbolic form as a function of α is of paramount importance in stability, bifurcation analysis, and control system design. In earlier studies, since Q(t,α) and R(α) were available only in numerical forms, general results for parameter unfolding and control system design could not be obtained in the entire parameter space. In 2009, an attempt was made by Butcher et al. (2009, “Magnus' Expansion for Time-Periodic Systems: Parameter Dependent Approximations,” Commun. Nonlinear Sci. Numer. Simul., 14(12), pp. 4226–4245) to compute the Q(t,α) matrix in a symbolic form using the Magnus expansions with some success. In this work, an efficient technique for symbolic computation of Q(t,α) and R(α) matrices is presented. First, Φ(t,α) is computed symbolically using the shifted Chebyshev polynomials and Picard iteration method as suggested in the literature. Then, R(α) is computed using a Gaussian quadrature integral formula. Finally, Q(t,α) is computed using the matrix exponential summation method. Using mathematica, this approach has successfully been applied to the well-known Mathieu equation and a four-dimensional time-periodic system in order to demonstrate the applications of the proposed method to linear as well as nonlinear problems." @default.
- W2339833922 created "2016-06-24" @default.
- W2339833922 creator A5001087538 @default.
- W2339833922 creator A5016733348 @default.
- W2339833922 date "2016-05-13" @default.
- W2339833922 modified "2023-10-03" @default.
- W2339833922 title "Symbolic Computation of Quantities Associated With Time-Periodic Dynamical Systems1" @default.
- W2339833922 cites W114779802 @default.
- W2339833922 cites W1965372547 @default.
- W2339833922 cites W1998780380 @default.
- W2339833922 cites W2005454984 @default.
- W2339833922 cites W2007230868 @default.
- W2339833922 cites W2018261315 @default.
- W2339833922 cites W2028566934 @default.
- W2339833922 cites W2029373581 @default.
- W2339833922 cites W2034944870 @default.
- W2339833922 cites W2066372487 @default.
- W2339833922 cites W2091488286 @default.
- W2339833922 doi "https://doi.org/10.1115/1.4033382" @default.
- W2339833922 hasPublicationYear "2016" @default.
- W2339833922 type Work @default.
- W2339833922 sameAs 2339833922 @default.
- W2339833922 citedByCount "5" @default.
- W2339833922 countsByYear W23398339222017 @default.
- W2339833922 countsByYear W23398339222018 @default.
- W2339833922 countsByYear W23398339222021 @default.
- W2339833922 countsByYear W23398339222023 @default.
- W2339833922 crossrefType "journal-article" @default.
- W2339833922 hasAuthorship W2339833922A5001087538 @default.
- W2339833922 hasAuthorship W2339833922A5016733348 @default.
- W2339833922 hasConcept C106487976 @default.
- W2339833922 hasConcept C110812573 @default.
- W2339833922 hasConcept C11413529 @default.
- W2339833922 hasConcept C121332964 @default.
- W2339833922 hasConcept C134306372 @default.
- W2339833922 hasConcept C158622935 @default.
- W2339833922 hasConcept C159985019 @default.
- W2339833922 hasConcept C192562407 @default.
- W2339833922 hasConcept C28826006 @default.
- W2339833922 hasConcept C33923547 @default.
- W2339833922 hasConcept C45374587 @default.
- W2339833922 hasConcept C62520636 @default.
- W2339833922 hasConcept C78045399 @default.
- W2339833922 hasConcept C79379906 @default.
- W2339833922 hasConceptScore W2339833922C106487976 @default.
- W2339833922 hasConceptScore W2339833922C110812573 @default.
- W2339833922 hasConceptScore W2339833922C11413529 @default.
- W2339833922 hasConceptScore W2339833922C121332964 @default.
- W2339833922 hasConceptScore W2339833922C134306372 @default.
- W2339833922 hasConceptScore W2339833922C158622935 @default.
- W2339833922 hasConceptScore W2339833922C159985019 @default.
- W2339833922 hasConceptScore W2339833922C192562407 @default.
- W2339833922 hasConceptScore W2339833922C28826006 @default.
- W2339833922 hasConceptScore W2339833922C33923547 @default.
- W2339833922 hasConceptScore W2339833922C45374587 @default.
- W2339833922 hasConceptScore W2339833922C62520636 @default.
- W2339833922 hasConceptScore W2339833922C78045399 @default.
- W2339833922 hasConceptScore W2339833922C79379906 @default.
- W2339833922 hasIssue "4" @default.
- W2339833922 hasLocation W23398339221 @default.
- W2339833922 hasOpenAccess W2339833922 @default.
- W2339833922 hasPrimaryLocation W23398339221 @default.
- W2339833922 hasRelatedWork W1981264608 @default.
- W2339833922 hasRelatedWork W2003898471 @default.
- W2339833922 hasRelatedWork W2008894878 @default.
- W2339833922 hasRelatedWork W2015177775 @default.
- W2339833922 hasRelatedWork W2032926497 @default.
- W2339833922 hasRelatedWork W2070967795 @default.
- W2339833922 hasRelatedWork W2363922099 @default.
- W2339833922 hasRelatedWork W2539842589 @default.
- W2339833922 hasRelatedWork W800049747 @default.
- W2339833922 hasRelatedWork W2495630471 @default.
- W2339833922 hasVolume "11" @default.
- W2339833922 isParatext "false" @default.
- W2339833922 isRetracted "false" @default.
- W2339833922 magId "2339833922" @default.
- W2339833922 workType "article" @default.