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Structured and Simultaneous Lyapunov Functions for System Stability Problems
Structured Simultaneous Lyapunov Functions System Stability Problems
2015/7/13
It is shown that many system stability and robustness problems can be reduced to the question of when there is a quadratic Lyapunov function of a certain structure which establishes stability of dx/dt...
Branch and Bound Algorithm for Computing the Minimum Stability Degree of Parameter-Dependent Linear Systems
Branch Bound Algorithm Computing Minimum Stability Degree Parameter-Dependent Linear Systems
2015/7/13
We consider linear systems with unspecified parameters that lie between given upper and lower bounds. Except for a few special cases, the computation of many quantities of interest for such systems ca...
Synthesizing Stability Regions for Systems with Saturating Actuators
Synthesizing Stability Regions Systems Saturating Actuators
2015/7/10
This paper presents a method of synthesizing controllers for systems with input saturation that guarantees state space regions of attraction. While the computation of stability regions and the corresp...
ON THE STABILITY OF CHOLESKY FACTORIZATION FOR SYMMETRIC QUASIDEFINITE SYSTEMS*
indefinite systems symmetric quasidefinite (sqd) systems
2015/7/3
Sparse linear equations Kd r are considered, where K is a specially structured
symmetric indefinite matrix that arises in numerical optimization and elsewhere. Under certain
conditions, K is quaside...
Nonequivalent statistical equilibrium ensembles and refined stability theorems for most probable flows
Two-dimensional correlation structure of equilibrium model the model of energy balance ratio model water resources
2014/12/29
Statistical equilibrium models of coherent structures in two-dimensional and barotropic quasi-geostrophic turbulence are formulated using canonical and microcanonical ensembles, and the equivalence or...
Stability of dark solitons in a Bose-Einstein condensate trapped in an optical lattice
Dark soliton stability bose-einstein condensate magnetic parabolic well optical lattice discrete nonlinear schrodinger equation
2014/12/29
We investigate the stability of dark solitons (DSs) in an effectively one-dimensional Bose-Einstein condensate in the presence of the magnetic parabolic trap and an optical lattice (OL). The analysis ...
Stability of discrete solitons in nonlinear Schrödinger lattices
Discrete soliton bifurcate discrete nonlinear schrodinger lattice discrete soliton
2014/12/29
We consider the discrete solitons bifurcating from the anti-continuum limit of the discrete nonlinear Schrödinger (NLS) lattice. The discrete soliton in the anti-continuum limit represents an arb...
Persistence and stability of discrete vortices in nonlinear Schrödinger lattices
Discrete two-dimensional nonlinear schrodinger lattice small vortex grid nodes coupling coupling of discrete vortex
2014/12/29
We study discrete vortices in the two-dimensional nonlinear Schrödinger lattice with small coupling between lattice nodes. The discrete vortices in the anti-continuum limit of zero coupling repre...
Stability of waves in multi-component DNLS system
System Evans function method discrete equations vector system Evans function
2014/12/25
In this work, we systematically generalize the Evans function methodology to address vector systems of discrete equations. We physically motivate and mathematically use as our case example a vector fo...
Stability of discrete dark solitons in nonlinear Schrodinger lattices
The dark soliton stability of the harvest discrete nonlinear schrodinger lattice
2014/12/25
This is the pre-published version harvested from arXiv. The published version is located at http://pre.aps.org/abstract/PRE/v74/i6/e067601.
Stability of discrete dark solitons in nonlinear Schrödinger lattices
Discrete dark soliton discrete nonlinear schrodinger equation
2014/12/25
We obtain new results on the stability of discrete dark solitons bifurcating from the anti-continuum limit of the discrete nonlinear Schrödinger equation, following the analysis of our previous p...
Stability of quantized vortices in a Bose-Einstein condensate confined in an optical lattice
Linear stability quantization whirlpool nonlinear schrodinger equation
2014/12/25
We investigate the existence and especially the linear stability of single- and multiple-charge quantized vortex states of nonlinear Schrödinger equations in the presence of a periodic and a para...
Discrete solitons and vortices in hexagonal and honeycomb lattices: Existence, stability, and dynamics
Dynamic lattice model lattice geometries nonlinear schrodinger equation
2014/12/25
We consider a prototypical dynamical lattice model, namely, the discrete nonlinear Schrödinger equation on nonsquare lattice geometries. We present a systematic classification of the solutions th...
Structure and stability of two-dimensional Bose-Einstein condensates under both harmonic and lattice confinement
Two-dimensional condensate the harmonic potential optical lattice
2014/12/25
In this work, we study two-dimensional Bose–Einstein condensates confined by both a cylindrically symmetric harmonic potential and an optical lattice with equal periodicity in two orthogonal direction...
Asymptotic stability of small solitons in the discrete nonlinear Schr¨odinger equation in one dimension
Small solitary wave one dimensional discrete nonlinear septic nonlinear power law equation
2014/12/25
Asymptotic stability of small solitons in one dimension is proved in the framework of a discrete nonlinear Schr¨odinger equation with septic and higher power-law nonlinearities and an external potenti...