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Safety analysis of linear system with SOS for complex eigenvalues

2011 2nd International Conference on Instrumentation Control and Automation, 2011
In this paper we investigate safety verification of linear system. The structure of linear system will be exploited and converted to certain eigenstructure as an emptiness problem for a semi algebraic set. Sum of square (SOS) is emploited to check emptiness of of the set defines by polynomial inequalities which can be computed by semidifinite ...
Noorma Yulia Megawati   +3 more
openaire   +1 more source

Analysis of Energy Eigenvalue in Complex Ginzburg–Landau Equation*

Communications in Theoretical Physics, 2017
Abstract In this paper, we consider the two-dimensional complex Ginzburg–Landau equation (CGLE) as the spatiotemporal model, and an expression of energy eigenvalue is derived by using the phase-amplitude representation and the basic ideas from quantum mechanics.
Ji-Hua 华 Gao 高继   +4 more
openaire   +1 more source

Complex Eigenvalue Analysis of Railway Curve Squeal

2008
A finite element complex eigenvalue analysis of curve squeal is carried out. Two models for the wheel tread/rail top contact and the wheel flange root/rail gauge corner contact are established. In the both models, the contact between the wheel and rail is simulated with a spring.
G. X. Chen   +3 more
openaire   +1 more source

Perturbation Methods for Bifurcation Analysis from Multiple Nonresonant Complex Eigenvalues

Nonlinear Dynamics, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
LUONGO, Angelo, Paolone A.
openaire   +3 more sources

Implications of complex eigenvalues in homogeneous flow: A three-dimensional kinematic analysis

Journal of Structural Geology, 2010
Abstract We present an investigation of the kinematic properties of 3D homogeneous flow defined by complex eigenvalues. We demonstrate, using simple algebraic analysis, that the clear threshold between pulsating and non-pulsating fields, fixed for Wn > 1 and valid for planar flow, is not easily defined in a 3D flow system.
Iacopini D., Carosi R., Xypolias P.
openaire   +3 more sources

Real modal analysis with complex conjugate eigenvalues

International Journal of Systems Science, 1988
Abstract The synthesis of a real eigenvector matrix for real systems with complex conjugate eigenvalues provides a real (cc-block) diagonal canonical form for real modal analysis.
openaire   +1 more source

Brake Squeal: Complex Eigenvalue versus Dynamic Transient Analysis

SAE Technical Paper Series, 2007
<div class="htmlview paragraph">Brake squeal from either disc brakes or drum brakes has been one of the major concerns in the automotive industry due to the persistent complaint that reduces customers' satisfaction with their vehicle. In order to understand, predict and prevent brake squeal, experimental and numerical approaches have been used ...
A. R. AbuBakar   +3 more
openaire   +1 more source

Convergence Analysis of the Parareal-Euler Algorithm for Systems of ODEs with Complex Eigenvalues

Journal of Scientific Computing, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Complex Eigenvalue Analysis and Brake Squeal: Traps, Shortcomings and their Removal

SAE International Journal of Passenger Cars - Mechanical Systems, 2012
<div class="section abstract"><div class="htmlview paragraph">Among many NVH problems brake squeal continues to be a difficult topic for design engineers and scientists. Both the experimental and the simulation approaches so far have failed to provide robust and reliable guidelines for the design of squeal free brakes.
Gottfried Spelsberg-Korspeter   +1 more
openaire   +1 more source

Complex eigenvalues in stability analysis of nonlinear planar guided waves

Optics Communications, 1992
Abstract The stability characteristics of the anti-symmetric TE 1 stationary wave in symmetric nonlinear planar waveguides (SNPW) is investigated both analytically and numerically. It is shown, for the first time, that eigenvalues of the corresponding linear stability analysis can be complex in a certain range of parameters.
H.T. Tran   +3 more
openaire   +1 more source

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