Results 31 to 40 of about 10,725,924 (346)

Time-dependent mode structure for Lyapunov vectors as a collective movement in quasi-one-dimensional systems

open access: yes, 2004
Time dependent mode structure for the Lyapunov vectors associated with the stepwise structure of the Lyapunov spectra and its relation to the momentum auto-correlation function are discussed in quasi-one-dimensional many-hard-disk systems. We demonstrate
Gary P. Morriss   +10 more
core   +1 more source

Kuhn-Tucker-based stability conditions for systems with saturation [PDF]

open access: yes, 2001
This paper presents a new approach to deriving stability conditions for continuous-time linear systems interconnected with a saturation. The method presented can be extended to handle a dead-zone, or in general, nonlinearities in the form of piecewise ...
Gianelli, Monica, Primbs, James A.
core   +1 more source

The Role of Convexity in Saddle-Point Dynamics: Lyapunov Function and Robustness [PDF]

open access: yesIEEE Transactions on Automatic Control, 2016
This paper studies the projected saddle-point dynamics associated to a convex–concave function, which we term saddle function. The dynamics consists of gradient descent of the saddle function in variables corresponding to convexity and (projected ...
A. Cherukuri   +3 more
semanticscholar   +1 more source

Discretized Lyapunov Function Approach for Switched Linear Systems under Dwell Time Constraint

open access: yesAbstract and Applied Analysis, 2014
This paper is concerned with the stability and disturbance attenuation properties of switched linear system with dwell time constraint. A novel time-scheduled Lyapunov function is introduced to deal with the problems studied in this paper. To numerically
Yongchi Zhao   +3 more
doaj   +1 more source

Mathematical modelling of branched hydraulic systems [PDF]

open access: yesКомпьютерные исследования и моделирование, 2009
Solving the problem of stationary stream distribution for an arbitrary volume-free hydrosystem with a free level can be reduced to determining the extremes of a multi-variable function.
N. V. Kassina, L. V. Smirnov
doaj   +1 more source

Matlab code for Lyapunov exponents of fractional order systems

open access: yes, 2018
In this paper the Benettin-Wolf algorithm to determine all Lyapunov exponents for a class of fractional-order systems modeled by Caputo's derivative and the corresponding Matlab code are presented.
Danca, Marius-F., Kuznetsov, Nikolay
core   +1 more source

Lyapunov Function based Criteria for Ship Rolling in Random Beam Seas

open access: yesPolish Maritime Research, 2019
The aim of this study is to present a Lyapunov function which can be used to derive an intact stability criterion for a ship in random beam seas. First, the mathematical model of the rolling motion of ships in random beam seas is introduced.
Üçer Erdem
doaj   +1 more source

Delay-Driven Computation Task Scheduling in Multi-Cell Cellular Edge Computing Systems

open access: yesIEEE Access, 2019
This paper studies the joint scheduling of subcarrier, base station, transmit power, and virtual machine in multi-cell cellular edge computing systems to minimize the total delay experienced by tasks of users.
Yuan Zhang, Peng Du
doaj   +1 more source

Numerical Methods That Preserve a Lyapunov Function for Ordinary Differential Equations

open access: yesMathematics, 2022
The paper studies numerical methods that preserve a Lyapunov function of a dynamical system, i.e., numerical approximations whose energy decreases, just like in the original differential equation.
Yadira Hernández-Solano, Miguel Atencia
doaj   +1 more source

Lyapunov matrices approach to the parametric optimization of a neutral system

open access: yesArchives of Control Sciences, 2016
In the paper a Lyapunov matrices approach to the parametric optimization problem of a neutral system with a P-controller is presented. The value of integral quadratic performance index of quality is equal to the value of Lyapunov functional for the ...
Duda Jozef
doaj   +1 more source

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