Pseudospectral methods for stability analysis of delayed dynamical systems

Article Properties
Journal Categories
Technology
Mechanical engineering and machinery
Technology
Technology (General)
Industrial engineering
Management engineering
Applied mathematics
Quantitative methods
Refrences
Title Journal Journal Categories Citations Publication Date
Approximation of Eigenvalues of Evolution Operators for Linear Retarded Functional Differential Equations SIAM Journal on Numerical Analysis
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
31 2012
10.1109/TAC.2008.2008345 2009
An adaptive algorithm for efficient computation of level curves of surfaces Numerical Algorithms
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
11 2009
Generalization of cluster treatment of characteristic roots for robust stability of multiple time‐delayed systems

International Journal of Robust and Nonlinear Control
  • Technology: Mechanical engineering and machinery
  • Technology: Electrical engineering. Electronics. Nuclear engineering: Electric apparatus and materials. Electric circuits. Electric networks
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Technology: Mechanical engineering and machinery
  • Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics
  • Technology: Engineering (General). Civil engineering (General)
7 2008
Solution operator approximations for characteristic roots of delay differential equations Applied Numerical Mathematics
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
55 2006
Citations
Title Journal Journal Categories Citations Publication Date
An efficient and accurate chatter prediction method of milling processes with a transition matrix reduction scheme Mechanical Systems and Signal Processing
  • Technology: Mechanical engineering and machinery
  • Technology: Mechanical engineering and machinery
  • Technology: Engineering (General). Civil engineering (General)
16 2023
Feasibility analysis of active chatter control for stationary and revolving bar boring operations based on magnitude of control forces using fractional order PDλ controller The International Journal of Advanced Manufacturing Technology
  • Technology: Mechanical engineering and machinery
  • Technology: Manufactures
  • Technology: Technology (General): Industrial engineering. Management engineering
  • Technology: Engineering (General). Civil engineering (General)
1 2020
Efficient active chatter mitigation for boring operation by electromagnetic actuator using optimal fractional order PDλ controller Journal of Materials Processing Technology
  • Technology: Technology (General): Industrial engineering. Management engineering: Information technology
  • Technology: Manufactures
  • Science: Chemistry
  • Technology: Electrical engineering. Electronics. Nuclear engineering: Materials of engineering and construction. Mechanics of materials
  • Technology: Electrical engineering. Electronics. Nuclear engineering: Materials of engineering and construction. Mechanics of materials
10 2020
An Incremental Harmonic Balance Method With a General Formula of Jacobian Matrix and a Direct Construction Method in Stability Analysis of Periodic Responses of General Nonlinear Delay Differential Equations

Journal of Applied Mechanics
  • Technology: Mechanical engineering and machinery
  • Technology: Engineering (General). Civil engineering (General): Mechanics of engineering. Applied mechanics
7 2019
Spectrum Analysis of LTI Continuous-Time Systems With Constant Delays: A Literature Overview of Some Recent Results IEEE Access
  • Technology: Electrical engineering. Electronics. Nuclear engineering
  • Science: Science (General): Cybernetics: Information theory
  • Technology: Electrical engineering. Electronics. Nuclear engineering: Electric apparatus and materials. Electric circuits. Electric networks
  • Technology: Electrical engineering. Electronics. Nuclear engineering: Telecommunication
  • Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics
  • Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics
2018
Citations Analysis
The category Technology: Mechanical engineering and machinery 4 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Regenerative delay, parametric forcing and machine tool chatter: A review and was published in 2015. The most recent citation comes from a 2023 study titled An efficient and accurate chatter prediction method of milling processes with a transition matrix reduction scheme. This article reached its peak citation in 2015, with 3 citations. It has been cited in 10 different journals, 10% of which are open access. Among related journals, the IFAC-PapersOnLine cited this research the most, with 2 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year