Results 31 to 40 of about 3,224,849 (346)

W-Stability of Multistable Nonlinear Discrete-Time Systems

Discrete Dynamics in Nature and Society, 2012
Motivated by the importance and application of discrete dynamical systems, this paper presents a new Lyapunov characterization which is an extension of conventional Lyapunov characterization for multistable discrete-time nonlinear systems. Based on a new
Zhishuai Ding, Guifang Cheng, Xiaowu Mu
doaj   +1 more source

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

, 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

Stochastic Stability Analysis of Discrete Time System Using Lyapunov Measure

, 2016
In this paper, we study the stability problem of a stochastic, nonlinear, discrete-time system. We introduce a linear transfer operator-based Lyapunov measure as a new tool for stability verification of stochastic systems.
Vaidya, Umesh
core   +1 more source

On the practical global uniform asymptotic stability of stochastic differential equations [PDF]

, 2015
The method of Lyapunov functions is one of the most effective ones for the investigation of stability of dynamical systems, in particular, of stochastic differential systems.
Caraballo, Tomas, Hammami, Mohamed Ali, Mchiri, Lasaad   +2 more
core   +2 more sources

An LMI Approach to Stability for Linear Time-Varying System with Nonlinear Perturbation on Time Scales

Abstract and Applied Analysis, 2011
We consider Lyapunov stability theory of linear time-varying system and derive sufficient conditions for uniform stability, uniform exponential stability, 𝜓-uniform stability, and h-stability for linear time-varying system with nonlinear perturbation on ...
Kanit Mukdasai, Piyapong Niamsup
doaj   +1 more source

The Instability Transition for the Restricted 3-Body Problem. III. The Lyapunov Exponent Criterion

, 2011
We establish a criterion for the stability of planetary orbits in stellar binary systems by using Lyapunov exponents and power spectra for the special case of the circular restricted 3-body problem (CR3BP). The centerpiece of our method is the concept of
B. Quarles, Benettin, Catanzarite, Cockell, Cuntz, Duquennoy, Dvorak, Dvorak, Dvorak, Eberle, Eberle, Eggenberger, Fouchard, Froeschlé, Gonczi, Holman, J. Eberle, Jefferys, Lada, Lecar, Lissauer, Lyapunov, M. Cuntz, Malhotra, Milani, Murray, Musielak, Musielak, Patience, Pilat-Lohinger, Rabl, Raghavan, Smith, Szenkovits, Wolf, Yoshida, Z. E. Musielak   +36 more
core   +1 more source

Unified Sufficient Conditions for Predefined-Time Stability of Non-Linear Systems and Its Standard Controller Design

Actuators
This paper presents a unified Lyapunov-based predefined-time stability theorem that includes three sufficient conditions. The standard theoretical analysis method for achieving predefined-time stability of non-linear systems using this theorem is ...
Bing Xiao, Haichao Zhang, Shijie Zhao, Zhaoyue Chen, Lu Cao   +4 more
doaj   +1 more source

Hopfield Neural Networks for Online Constrained Parameter Estimation With Time‐Varying Dynamics and Disturbances

International Journal of Adaptive Control and Signal Processing, EarlyView.
This paper proposes two projector‐based Hopfield neural network (HNN) estimators for online, constrained parameter estimation under time‐varying data, additive disturbances, and slowly drifting physical parameters. The first is a constraint‐aware HNN that enforces linear equalities and inequalities (via slack neurons) and continuously tracks the ...
Miguel Pedro Silva
wiley   +1 more source

Hilbert space Lyapunov exponent stability

Transactions of the American Mathematical Society, 2019
We study cocycles of compact operators acting on a separable Hilbert space and investigate the stability of the Lyapunov exponents and Oseledets spaces when the operators are subjected to additive Gaussian noise. We show that as the noise is shrunk to 0, the Lyapunov exponents of the perturbed cocycle converge to those of the unperturbed cocycle, and ...
Froyland, Gary, Gonzalez-Tokman, Cecilia, Quas, Anthony   +2 more
openaire   +4 more sources

Current Tracking Adaptive Control of Brushless DC Motors

International Journal of Adaptive Control and Signal Processing, EarlyView.
In this paper, the current tracking for Brushless Direct Current motors is approached considering uncertainty in the parameters of the motor's model. An adaptive control scheme to compensate electrical parameters uncertainty is proposed without requiring any knowledge of the mechanical parameters.
Fernanda Ramos‐García, Axel Coronado‐Andrade, Gerardo Espinosa‐Pérez, Luis Alvarez‐Icaza   +3 more
wiley   +1 more source