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Using the theory of stability radius maximal allowed norm bounded perturbations of the SL in contrast to stabilizable intervals of OEF parameters are obtained. ... Index Terms-Robust stability, delay systems, semiconductor lasers, laser feedback. ... STABILITY ANALYSIS Stability of a time delay system can be determined by its eigenvalues, which should be located in the open left half plane  ,  . ...doi:10.5755/j01.eee.20.8.5917 fatcat:gxbzuy7vxbezppozunjxabnfpm
, stability robustness and tracking. ... The control law is designed using block pole placement technique by assigning a set of desired Block poles in different canonical forms. ... The use of the three block canonical forms has shown that diagonal structure of solvents yield better results in term of gains, magnitudes, response and robustness, furthermore, the diagonal form of solvents ...arXiv:1604.03424v1 fatcat:piuz57absneunbusa76vuirchi
In the study of PT-symmetric quantum systems with non-Hermitian perturbations, one of the most important questions is whether eigenvalues stay real or whether PT-symmetry is spontaneously broken when eigenvalues ... A particularly interesting set of eigenstates is provided by the degenerate ground-state subspace of systems with topological order. ... ACKNOWLEDGMENTS This research was supported by the National Science Foundation under Grant No. DMR-1664842. ...arXiv:2005.09668v1 fatcat:azthlangwnce5krkeaivtqzgnq
Summary: “This paper focuses on the problem of robust stabil- ity analysis of systems with delayed time-varying perturbations. ... Abdelmoula El Bouhtouri (El Jadida) 2000b:93066 93D09 93B40 Yu, Li [Yu, Li'] Stability robustness analysis of linear systems with delayed perturbations. (English summary) J. ...
2007 Mediterranean Conference on Control & Automation
Finally, the particular case of parameterdependent polynomials will be also considered, and the stability analysis of time-delay systems is also revisited in this perspective. ... This note focuses on deriving stability conditions for a class of linear parameter-dependent systems in a statespace representation. ... Indeed, the approach seeks to recast the zero asymptotic analysis problem as one of eigenvalue perturbation. ...doi:10.1109/med.2007.4433795 fatcat:wj5yjnhkurba5fd7q644qvfmlm
The test of stability and instability of polynomials is practical and meaningful in many areas such as filter design, control systems, systems theory. ... The perturbation is a matrix with positive entries of a form selected by the user; its maximal scaling factor is returned by the algorithm. ...
First, the multivariable Popov criterion is used to guarantee the stability of the nominal system, and then the stability of the perturbed system is investi- gated by using the Lyapunov function developed ... An edge polynomial (the convex hull of two polynomials) is said to have vertex property if the stability of the edge is guaranteed by the stability of its vertices. ...
Nonlinear Hyperbolic Equations — Theory, Computation Methods, and Applications
The intractability can easily be demonstrated by the normal mode analysis of the (1 J O C ) The polynomial q ( n ) depends solely on the NBS, i.e., q(n) is the polynomial associated with the NBS written ... The fact that an c perturbation of IC yields an c2 perturbation in a($) indicates a weaker type of GKS instability than for a conventional GKS generalized eigenvalue where the perturbation in n and %a( ... The GKS perturbation analysis is identical to the analysis at the end of example 3, Le., an c perturbation in K. yields an c2 perturbation in a(:). ...doi:10.1007/978-3-322-87869-4_64 fatcat:5yc6ve67inghvotycfpk5mx4fe
Including viscosity as a valid parameter of the fluid, the hydrodynamic model is derived using a nodal Lagrangian basis and the polynomial eigenvalue problem describing the viscous spatial stability is ... In this paper we develop hydrodynamic models using spectral differential operators to investigate the spatial stability of swirling fluid systems. ... governing the inviscid stability analysis appears now as a system of 4N equations, when include the boundary conditions. ...arXiv:1203.6758v1 fatcat:rgtdel3nfzey7hfiygk7inr3ee
Nonlinear Physical Systems
For example, suppose X were an upp zero eigenvalue perturbed by placing the entry 10-8 eigenvalues of X would lie equally spaced around th point of view, the results achieved by BFGS are rem This naturally ... Mor specifically, a random perturbation of size E to the coefficients of a polynomial wit a non-zero root with multiplicity k moves the corresponding roots by O(E 1 / k ) . ...doi:10.1002/9781118577608.ch16 fatcat:tcwrm2pianbzpjhklvysb4xjxm
Two methods of stability analysis of systems described by dynamical equations are being considered. ... of chaotic behavior of systems in case of a stability loss. ... Stability Analysis Methods The more common methods of system stability investigation are the spectral methods, which consist of dynamics spectrum analysis for small perturbations. ...doi:10.4236/jamp.2015.35070 fatcat:vf55vrmyw5dadfbgru7viiurvm
Frobenius and infinity matrix norms are used to study the robust stability of the system affected by different admissible perturbations. ... In this paper, the robust stability problem of structured linear systems is analyzed. ... Introduction Robust stability is an important requirement for analysis and design of control systems. ...doi:10.1016/j.jfranklin.2013.11.020 fatcat:ejwkwbd7gbbyxovs7m5ttww4rq
In the analysis problem, we derive an upper bound on the allowable unstructured uncertainty which preserves the stability of a closed-loop vibrationally stabilized system. ... In this paper, we consider the robust stability analysis and synthesis problems for closed-loop vibrational control. ... 3 From (18) , the allowable range of the perturbation matrix which ensures the asymptotic stability of the original system (6) is given by ( A)#2 " A ")0)382 ) 3. ...doi:10.1002/(sici)1099-1239(1998100)8:12<1101::aid-rnc374>3.0.co;2-n fatcat:na7x347h7jfqdadzgejdtpi4sm
Physics of Fluids
For some classes of perturbations, the eigenvalue problems can be solved analytically. ... The eigenvalue problems are solved numerically with the help of the spectral collocation method based on Chebyshev polynomials. ... The research of the second and third authors was also supported by the postdoctoral fellowships at the Jacob Blaustein Institute for Desert Research of the Ben-Gurion University of the Negev -Jacob Blaustein ...doi:10.1063/1.2814296 fatcat:xgla7i55tjet3o2iw6f4zk2aoy
Those conditions are determined in terms of model parameters, by means of linear stability analysis, carried out at one of the constant solutions of the simplified system. ... The conclusions, derived from the linear stability analysis, are extended for the case of large perturbations. ... Open Access This article is distributed under the terms of the Creative Commons Attribution License which permits any use, distribution, and reproduction in any medium, provided the original author(s) ...doi:10.1007/s00285-012-0513-1 pmid:22327881 fatcat:txl6sfewqzclbh2h5fvb6t2uay
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