نتایج جستجو برای: lyapunov methods

تعداد نتایج: 1889152  

2012
JOSÉ A. R. VARGAS EMERSON GRZEIDAK KEVIN H. M. GULARTE

 This paper presents an adaptive algorithm to synchronize unified chaotic systems in the presence of unknown system parameter and bounded disturbances. Based on Lyapunov-like analysis, an adaptive scheme is proposed to make the synchronization error asymptotically null. Simulation results are provided to demonstrate the effectiveness and feasibility of the proposed synchronization method. Keyw...

2005
Tae-Woong Yoon Jung-Su Kim

This paper presents a new supervisory control scheme, which is based on a control-relevant switching logic. Unlike most of the existing switching methods considering only estimator performance, the proposed scheme takes both estimator and controller performance into account. As an index to the controller performance, an iISS (integral-Input-to-State Stability) Lyapunov function is employed; it ...

2018
Sylvain Chateau Umberto D'Ortona Sébastien Poncet Julien Favier

The fluid transport and mixing induced by beating cilia, present in the bronchial airways, are studied using a coupled lattice Boltzmann-Immersed Boundary solver. This solver allows the simulation of both single and multi-component fluid flows around moving solid boundaries. The cilia are modeled by a set of Lagrangian points, and Immersed Boundary forces are computed onto these points in order...

In this paper, chaotic dynamic and nonlinear control in a glucose-insulin system in types I diabetic patients and a healthy person have been investigated. Chaotic analysis methods of the blood glucose system include Lyapunov exponent and power spectral density based on the time series derived from the clinical data. Wolf's algorithm is used to calculate the Lyapunov exponent, which positive val...

2013
Ehsan Samiei Shahab Torkamani Eric A. Butcher

In this paper, we obtain an analytical Lyapunovbased stability conditions for scalar linear and nonlinear stochastic systems with discrete time-delay. The Lyapunov– Krasovskii and Lyapunov–Razumikhin methods are applied with techniques from stochastic calculus to obtain the regions of mean square asymptotic stability in the parameter space. Both delay-independent and delay-dependent stability c...

2013
Jian Sun Qing-Long Han Jie Chen Guo-Ping Liu

The problem of the stability of a linear system with an interval time-varying delay is investigated. A new Lyapunov–Krasovskii functional that fully uses information about the lower bound of the time-varying delay is constructed to derive new stability criteria. It is proved that the proposed Lyapunov–Krasovskii functional can lead to less conservative results than some existing ones. Based on ...

Journal: :I. J. Bifurcation and Chaos 2000
Gary Froyland Kazuyuki Aihara

We present a fast, simple matrix method of computing the unique invariant measure and associated Lyapunov exponents of a nonlinear iterated function system. Analytic bounds for the error in our approximate invariant measure (in terms of the Hutchinson metric) are provided, while convergence of the Lyapunov exponent estimates to the true value is assured. As a special case, we are able to rigoro...

2011
Peter Benner

We discuss the Smith iteration for solving large-scale sparse projected discrete-time periodic Lyapunov equations which arise in periodic state feedback problems and in model reduction of periodic descriptor systems. Two algorithms are presented in this paper. The first one works with the cyclic lifted representation of the corresponding projected discrete-time periodic Lyapunov equations. In t...

2014
DAVID P. HERZOG J. C. MATTINGLY

We show that the complex-valued ODE żt = an+1z n+1 + anz n + · · ·+ a0, which necessarily has trajectories along which the dynamics blows up in finite time, can be stabilized by the addition of an arbitrarily small elliptic, additive Brownian stochastic term. We also show that the stochastic perturbation has a unique invariant measure which is heavy-tailed yet is uniformly, exponentially attrac...

2008
Hoang Linh Volker Mehrmann

Lyapunov and exponential dichotomy spectral theory is extended from ordinary differential equations (ODEs) to nonautonomous differential-algebraic equations (DAEs). By using orthogonal changes of variables, the original DAE system is transformed into appropriate condensed forms, for which concepts such as Lyapunov exponents, Bohl exponents, exponential dichotomy and spectral intervals of variou...

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