Reconstructing sparticle mass spectra using hadronic decays

Most sparticle decay cascades envisaged at the Large Hadron Collider (LHC) involve hadronic decays of intermediate particles. We use state-of-the art techniques based on the K⊥ jet algorithm to reconstruct the resulting hadronic final states for simulated LHC events in a number of benchmark supersymmetric scenarios. In particular, we show that a general method of selecting preferentially boosted massive particles such as W±, Z0 or Higgs bosons decaying to jets, using sub-jets found by the K⊥ algorithm, suppresses QCD backgrounds and thereby enhances the observability of signals that would otherwise be indistinct. Consequently, measurements of the supersymmetric mass spectrum at the per-cent level can be obtained from cascades including the hadronic decays of such massive intermediate bosons

Guaranteed and randomized methods for stability analysis of uncertain metabolic networks

A persistent problem hampering our understanding of the dynamics of large-scale metabolic networks is the lack of experimentally determined kinetic parameters that are necessary to build computationalmodels of biochemical processes. To overcome some of the limitations imposed by absent or incomplete kinetic data, structural kinetic modeling (SKM) was proposed recently as an intermediate approach between stoichiometric analysis and a full kinetic description. SKM extends stationary flux-balance analysis (FBA) by a local stability analysis utilizing an appropriate parametrization of the Jacobian matrix. To characterize the Jacobian, we utilize results from robust control theory to determine subintervals of the Jacobian’ entries that correspond to asymptotically stable metabolic states. Furthermore, we propose an efficient sampling scheme in combination with methods from computational geometry to sketch the stability region. A glycolytic pathway model comprising 12 uncertain parameters is used to assess the feasibility of the method

Robust stability of a diamond of multivariate polynomials

In this paper it is shown that in order to check the stability of a diamond family of multivariate polynomials there is no need to check the stability of m.2(2+m) distinguished edges of the family, it being necessary and sufficient to verify that (m+1)2(m+1) distinguished polynomials are stabl

Stability and robust stability of multivariate polynomials

An attempt is made towards selection of a class of multivariate polynomials which has the property that polynomials front this class preserve stability in the presence of small coefficient variations. Some basic properties of these polynomials are also derive

Robust Stability of Multivariate Polynomials, Part 3: Frequency Domain Approach

A new formulation of thezero exclusion principle is presented and it is applied to thestudy of robust stability of multivariate polynomials. It hasbeen proven that the stability radius of a stable polynomialcoincides with its strict sense stability radius. Similar resultsare presented for the case of structured stability radius

Robust Stability of Multivariate Polynomials, Part 2: Polytopic Coefficient Variations

This paper deals with robustness of stability propety of a class of multivariate polynomials, recently introduced in kharjt. The aim is to show the use of this class when analyzing stability of mutivariate polynomial families with polytopic coefficient variations. This study is developed on the basis of some known stability results for polytopic families of scattering Hurwitz stable (SHS) as well as strict sense stable (SSS) multivariate polynomials

On multivariate zero exclusion principle: application to stability radius

A new formulation of the zero exclusion principle is presented and it is applied to the study of robust stability of multivariate polynomials. It has been concluded that the stability radius of a stable polynomial coincides with its strict-sense stability radius. The structured stability radius is also considere

Static output feedback stabilization Necessary conditions for multiple delay controllers

This note focuses on the static output feedback stabilization problem for a class of single-input-single-output systems when the control law includes multiple (distinct) delays. We are interested in giving necessary conditions for the existence of such stabilizing controllers. Illustrative examples (second-order system, chain of integrators, or chain of oscillators) are presented, and discussed. © 2005 IEEE