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Topic: Stability criterion

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	Astron. Astrophys. 347, 821-840 (1999)
		Surprisingly, their ideas on the generalized local stability criterion have not attracted a great deal of attention, and other explanations were involved to confront the observations and N-body simulations.
		We conclude that even though the criterion for local stability in a gravitating, rapidly rotating particulate disk is a relatively old issue in galactic and planetary rings dynamics, it is necessary to address the problem again.
		The linear disk's stability theory is reexamined and conditions which guarantee the lack of all Jeans-type unstable perturbations in a disk of stars are found.
	aa.springer.de /papers/9347003/2300821/sc1.htm (2481 words)

	IngentaConnect Stability criterion for self-similar solutions with a scalar fiel... (Site not responding. Last check: 2007-10-24)
		Stability criterion for self-similar solutions with a scalar field and those with a stiff fluid in general relativity
		A stability criterion is derived in general relativity for self-similar solutions with a scalar field and those with a stiff fluid, which is a perfect fluid with the equation of state P =
		According to the criterion, the Evans–Coleman stiff-fluid solution is unstable and cannot be a critical solution for the spherical collapse of a stiff fluid if we allow sufficiently small discontinuity in the density gradient field in the initial data sets.
	www.ingentaconnect.com /content/iop/cqg/2004/00000021/00000002/art00003 (217 words)

	NYQUIST STABILITY CRITERION
		Stability Condition: None of the zeros of (1 + G
		Objective : to determine the stability of a feedback control system using frequency response data.
		Thus N=Z. This means the number of encirclements of the origin indicates the number of roots of the characteristic equation in the right half plane.
	www.chem.mtu.edu /~tbco/cm416/nyquist.html (302 words)

	HSE - OFFSHORE: Safety Notice 02/2001 - Jack-up (self-elevat... (Site not responding. Last check: 2007-10-24)
		This safety notice advises the offshore industry that recent research conclusions (Ref 1)indicate that the damage stability survivability criterion for jack-up units previously used by industry may be inadequate in certain environmental conditions.
		Owners of jack-up installations are advised to obtain and consider the findings of the research project which are reported in an HSE Offshore Technology Report, OTO 2000 059 (Ref 1) Investigations into the stability of an intact and damaged jack-up during a wet tow: model test interpretation and assessment.
		Investigations into the stability of an intact and damaged jack-up during a wet tow: model test interpretation and assessment OTO 2000 059.
	www.hse.gov.uk /offshore/notices/sn_02_01.htm (553 words)

	PSFC/JA-01-2 Abstract (Site not responding. Last check: 2007-10-24)
		Stability criterion for edge-localized, high-n external modes in tokamaks
		The ideal-magnetohydrodynamics (MHD) energy principle is used to derive a necessary stability criterion for high-toroidal-number (n) external modes in axisymmetric equilibria.
		The resulting stability criterion includes the surface and vacuum contributions to the MHD potential energy associated with the mode finite edge amplitude, and provides a framework for analyzing free-boundary ballooning and peeling modes.
	www.psfc.mit.edu /library/01JA/01JA002/01JA002_abs.html (139 words)

	IngentaConnect Stability criterion for self-similar solutions with perfect fluid... (Site not responding. Last check: 2007-10-24)
		Stability criterion for self-similar solutions with perfect fluids in general relativity
		A stability criterion is derived for self-similar solutions with perfect fluids which obey the equation of state P = k in general relativity.
		The criterion is directly related to the classification of sonic points.
	api.ingentaconnect.com /content/iop/cqg/2001/00000018/00000021/art00311 (187 words)

	Nyquist Stability
		The focus of this lessons is to learn how to interpret stability of a system - using the Nyquist Stability Criterion - using a Bode' plot instead of a Nyquist plot.
		Clearly, we need to develop some way of measuring how stable a system is. The lesson on relative stability (Click here to open that lesson.) will help you with that.
		Once we have an idea of what we mean by relative stability, and we have precise definitions that will give numerical measures of relative stabiltiy, we are going to find that relative stability can also be best interpreted using Bode' plots.
	www.facstaff.bucknell.edu /mastascu/eControlHTML/Freq/Nyquist3.html (1235 words)

	Pubs.GISS: Abstract of Stothers 1999 (Site not responding. Last check: 2007-10-24)
		Stothers, R.B. Criterion for the dynamical stability of a non-adiabatic spherical self-gravitating body.
		An accurate approximation to this criterion is further shown to be that the volumetric pressure-weighted average of Γ
		These results, which concern only radial stability, verify the theoretical basis of the more sophisticated models for luminous blue variables that were constructed by the author and C.-W. Chin, but they do not support the objections to these models raised by W. Glatzel and M. Kiriakidis.
	pubs.giss.nasa.gov /abstracts/1999/Stothers1.html (219 words)

	Stability Criterion for Edge-localized, High-n External Modes in Tokamaks. (Site not responding. Last check: 2007-10-24)
		The energy principle is used to derive a necessary stability criterion based on a new class of trial functions.
		For this purpose, the standard local ballooning equation is solved at the plasma boundary flux surface with the radial wavenumber parameter as a complex eigenvalue.
		The energy functional is dominated by the surface term that arises from the finite amplitude of the perturbation at the boundary.
	flux.aps.org /meetings/YR00/DPP00/abs/S100004.html (314 words)

	7-3 THE NYQUIST STABILITY CRITERION
		Two quantities that measure the stability margin of a system are directly related to the proximity of the frequency response drawn on a polar plot to the (-1,0) point, are called gain margin and phase margin.
		For a stable system OA is less than 1, hence the gain margin of a stable system is positive when expressed in dBs.
		The gain margin alone is not enough to express the relative stability of a system.
	www.engr.udayton.edu /faculty/rkashani/mee527/nyq_stab/nyq_stab_margins.htm (605 words)

	TRI-DN-97-2 Abstract and PostScript (Site not responding. Last check: 2007-10-24)
		The goal of this paper is to generalize the Robinson stability criteria, for a charged particle beam interacting with the radio-frequency cavity resonator that is responsible for accelerating it, to the case that the resonator is equipped with a delayed voltage-proportional feedback.
		We start by reviewing the Nyquist criterion and then formulating an algebraic version which is then used to give a general, exact, analytic procedure for determining whether a transcendental equation has poles/zeros in the right-half complex plane.
		The method is first applied to determining the limiting feedback gain of a resonator alone, and then to the problem of finding analogues of the Robinson criteria.
	www.triumf.ca /people/koscielniak/tridn-97-2.htm (125 words)

	Bernstein Center for Computational Neuroscience Berlin - Stability analysis of asynchronous states in neuronal networks ...
		The paper provides a self-contained analytical framework that allows numerically efficient calculations of the population activity of a network of conductance-based integrate-\&-fire neurons that are coupled through inhibitory synapses.
		Based on a normalization equation the paper introduces a novel stability criterion for a network state of asynchronous activity and discusses its perturbations.
		The analysis shows that, although often neglected, the reversal potential of synaptic inhibition has a strong influence on the stability as well as the frequency of network oscillations.
	www.cns-berlin.org /People/leibold/Publications/pooldynamics (207 words)

	Astron. Astrophys. 347, 821-840 (1999)
		In the absence of any perturbing gravity, a nearly circular orbit of a star (and a particle in planetary rings) may be represented as an epicyclic motion along the Coriolis ellipse (epicycle) with the simultaneous rotation of the ellipse (the guiding center) about the galactic center (Lindblad 1963; Chandrasekhar 1960; Binney and Tremaine 1987).
		To repeat, it is clear from the criterion (2) that stability of the nonaxisymmetric perturbations
		This reproduces the usual Toomre's stability criterion to have a stable disk against axisymmetric collapse and the usual Jeans-Toomre critical radial wavelength (Toomre 1964, 1977).
	aa.springer.de /papers/9347003/2300821/appa.htm (4182 words)

	Nyquist Example 1
		In the Nyquist plot, however, there is only a single graph, and frequency is not explicitly shown in the plot; it is a parameter along the graph.
		Perhaps the main use of the Nyquist plot in control system analysis is the application of the Nyquist stability criterion, discussed in later examples.
		The Nyquist plot and stability criterion can be applied to transfer functions with poles and/or zeros in the right-half of the s-plane.
	ece.gmu.edu /ececourses/ece220_320_421/nyq1ex.html (1080 words)

	An Introduction To The Nyquist Stability CriterionNyquist Stability Criterion
		The Nyquist Stability Criterion is a unique method for determining stability of a closed loop system.
		We'll consider the question of how stable a system is, and try to give an answer couched in terms of the Nyquist stability criterion, and how closely it comes to not being satisfied.
		In order to understand the Nyquist stability criterion you need to understand what a Nyquist plot is in as many different senses as may be possible.
	www.facstaff.bucknell.edu /mastascu/eControlHTML/Freq/Nyquist2.html (3488 words)

	Report
		On the criterion of asymptotical stability for index-1 tractable DAEs.
		The Lyapunov stability of the trivial solution is discussed.
		As a criterion of the asymptotical stability we propose a numerical parameter $\mbox{\sl\ae}(A,B)$ characterizing the property of the index-1 matrix pencil $\{A, B\}$ to have all finite eigenvalues within the negative complex half-plane.
	www.math.tu-berlin.de /preprints/abstracts/T.Stykel_MonNov12114138.rdf.html (78 words)

	Popov-Type Criterion for Stability of Nonlinear Sampled-Data Systems (Site not responding. Last check: 2007-10-24)
		A stability condition of circle-criterion type was derived recently, for the case where the sector nonlinearity is possibly time-varying and dynamical.
		In contrast, this paper deals with the case where it is time-invariant and memoryless, and gives a less conservative stability criterion for such a case.
		It is derived by applying the multiplier technique, and corresponds to the Popov criterion in the continuous-time setting.
	peugeot.kuee.kyoto-u.ac.jp /~hagiwara/mypubs/1998/b/42202.htm (132 words)

	7-3 THE NYQUIST STABILITY CRITERION
		One of the several expressions for the Nyquist stability criterion states that the
		Nyqust diagram of a stable system (a system with no root in the right half plane) must encircle the –1 point in the counterclockwise direction as many times as there are poles in the right half of the s plane.
		Encirclement of the (-1,0) point is the basis for defining stability margins (gain and phase margins) in the context of frequency response.
	www.engr.udayton.edu /faculty/rkashani/mee527/nyq_stab/nyq_stability.htm (993 words)

	The Maastricht Criteria after Enlargement: Old Rules for New Members? (SMEALSearch) - Pal,Rangaswamy,Giles,Debnath (Site not responding. Last check: 2007-10-24)
		This is not necessarily the case for the inflation criterion (if viewed together with the exchange rate stability criterion).
		Due to the Balassa-Samuelson effect, most new member countries may be faced with the dilemma of either implementing excessively restrictive policies to contain inflation during the qualification period for EMU, or accept a delay in being able to adopt the euro.
		The criterion regarding inflation should be adapted to the fact that EMU now exists.
	smealsearch2.psu.edu /124193.html (290 words)

	Feedback Stability FAQ
		Nyquist Stability Criterion: tells you whether the network will be stable, but is not very useful for optimizing the compensation network, a kind of a go, no-go approach.
		So, when you read that stability requires that the loop phase remain within 180 degrees at all frequencies where the loop gain is greater than unity, it means with respect to whatever polarity the design needs in order to subtract the NFB from the input signal.
		We have seen the effects of transformer on the stability of an amplifier, and we have seen the importance of power supply operation in its effects on amplifier performance.
	www.triodeel.com /feedback.htm (8237 words)

	SCADPlus: Convergence criteria
		The Treaty stipulates: "The achievement of a high degree of price stability [...] will be apparent from a rate of inflation which is close to that of, at most, the three best-performing Member States in terms of price stability."
		In practice, the nominal long-term interest rate must not exceed by more than 2 percentage points that of, at most, the three best-performing Member States in terms of price stability (that is to say, the same Member States as those in the case of the price stability criterion).
		The period taken into consideration is the year preceding the examination of the situation in the Member State concerned.
	europa.eu.int /scadplus/leg/en/lvb/l25014.htm (582 words)

	Routh-Hurwitz Criterion: HowTo
		The procedure for using the Routh-Hurwitz criterion is as follows:
		The Routh-Hurwitz stability criterion states that the number of roots with positive real parts is equal to the number of changes in sign of the coefficients in the first column of the matrix.
		If a system is stable (all of its poles are in the left half of the complex plane), then all the coefficients a
	me.mit.edu /lectures/rlocus/2.12-howto.html (158 words)

	Role of the Minimal State Variable Criterion
		It compares the MSV criterion with others that have been proposed, including the widely used saddle-path (or dynamic stability) criterion.
		It is emphasized that the MSV criterion can be viewed as a classification scheme that delineates the unique solution that is free of bubble or sunspot components.
		This scheme is of scientific value as it (a) yields a single solution upon which a researcher can focus attention if desired and (b) provides the basis for a substantive hypothesis that actual market outcomes are generally of a bubble-free nature.
	ideas.repec.org /p/nbr/nberwo/7087.html (400 words)

	DYNAMMIC STABILITY OF NASH-EFFICIENT PUBLIC GOODS MECHANISMS: (Site not responding. Last check: 2007-10-24)
		However, experimental evidence suggests that the fundamental question concerning any actual implementation of a specific mechanism is whether decentralized dynamic learning processes will actually converge to one of the equilibria promised by theory.
		Based on its attractive theoretical properties and the supporting evidence for these properties in the experimental literature, we focus on supermodularity as a robust stability criterion for Nash-efficient public goods mechanisms.
		Thus theoretically the new mechanisms have similar stability properties as the Groves-Ledyard mechanism and are also individually rational.
	weber.ucsd.edu /%7Edecent/99NYUConf/chen.html (421 words)

	[No title] (Site not responding. Last check: 2007-10-24)
		An optimization-based design methodology is presented for improving the strength and overall stability of framed structures.
		The design methodology is a multiple-objective optimization procedure whose objective functions involve the buckling eigenvalues and eigenvectors of the structure.
		An iterative optimality criterion method is used to solve the optimization problem.The method provides a general tool for designing complex structures with nonlinear behavior and generally leads to designs with better limit strength and stability while avoiding nonlinear analysis in the optimization cycle.
	dbase.irandoc.ac.ir /00228/00228794.htm (127 words)

	stability criterion condtion?why
		19 Sep 2004 11:39 Re: stability criterion condtion?why
		19 Sep 2004 20:22 Re: stability criterion condtion?why
		The electric field is solved at a given instant in time, then the magnetic field is solved at the next instant in time, and the process is repeated over and over again.
	www.edaboard.com /ftopic90253.html (114 words)

	Course Number
		Analysis and design of continuous linear feedback systems; mathematical characterization of systems; stability theory and signal flow analysis; computer-aided design with root locus and frequency response techniques; compensator and controller types; state description of systems.
		Use the Nyquist stability criterion to determine the range of gain for stability.
		Bode plots and Nyquist plots; Nyquist stability criterion; gain and phase margin.
	www.coe.montana.edu /ee/courses/ee/ee321/ee321goals.htm (471 words)

	Feedback and Temperature Control
		The heater power must always lie between zero and the maximum M because it can only source, not sink, heat.
		Unlike second-order systems, third-order systems are fairly uncommon in physics but the methods of control theory make the analysis quite straightforward.
		Whereas derivative control improved the system damping, integral control eliminates steady-state error at the expense of stability margin.
	newton.ex.ac.uk /teaching/CDHW/Feedback/ControlTypes.html (581 words)

	IngentaConnect New stability criterion for a class of uncertain nonlinear neutra... (Site not responding. Last check: 2007-10-24)
		IngentaConnect New stability criterion for a class of uncertain nonlinear neutra...
		In this paper, asymptotic stability for a class of uncertain nonlinear neutral systems with a single time delay is considered.
		The Lyapunov stability theorem and matrix inequalities are used to prove the main result.
	www.ingentaconnect.com /content/tandf/tsys/2001/00000032/00000002/art00008 (200 words)

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