Results 71 to 80 of about 7,504,828 (242)

On the Lyapunov stability theory for impulsive dynamical systems

Topological Methods in Nonlinear Analysis, 2019
Impulsive dynamical systems first appeared in the 1970's and had their mathematical foundation presented almost two decades later. Currently many authors are turning their attention to these systems, where a continuous evolution law is disrupted by abrupt changes of state, called \textit{jumps} or \textit{impulses}.
Bonotto, Everaldo M., Souto, Ginnara M.
openaire   +2 more sources

On the Global Asymptotic Stability of an Infection‐Age‐Structured Competitive Model

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We investigate an infection‐age‐structured competitive epidemiological model involving multiple strains. While classical results establish competitive exclusion when a unique maximal basic reproduction number exists, we provide here a complete characterization of the asymptotic behavior for an arbitrary number of populations without assuming ...
S. Girel, Q. Richard
wiley   +1 more source

An Implicit Nodal–Staggered Finite Difference Scheme for Damped Shear Beam Models Without Rotational Inertia

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We develop and analyze a fully discrete finite difference approximation for a damped shear beam model with mixed boundary conditions and no rotational inertia. The absence of a second‐order time derivative in the rotational equation gives rise to an asymmetric temporal structure.
Anderson de Jesus Araújo Ramos, André Fellipe Ribeiro de Almeida, Manoel Jeremias Dos Santos, Carlos Alberto da Silva Nonato   +3 more
wiley   +1 more source

Energy Transfer and Saving in a Nonlinear Coupled Vibrating System Based on the Method of Composite Synchronization Transmission

International Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT The vibrating screening equipment in industry usually requires power supply to each driving motor to keep up with its normal operation. The self‐synchronization transmission motion of two motors can achieve the screening requirement and save electrical energy by driving one single inductor motor. Nevertheless, this technology is currently only
Lei Jia, Di Zhang, Dawei Gu
wiley   +1 more source

Error analysis of QR algorithms for computing Lyapunov exponents [PDF]

, 2001
Lyapunov exponents give valuable information about long term dynamics. The discrete and continuous QR algorithms are widely used numerical techniques for computing approximate Lyapunov exponents, although they are not yet supported by a general error ...
McDonald, E.J., Higham, D.J.
core   +4 more sources

Metody Teorii Stateczności Ruchu

Engineering Transactions, 1955
Basic theorems and methods of the theory of stability of motion are discussed. The considerations are confined chiefly to stability as presented by Lyapunov and to the principles of this theory.
Maciej Bieniek
doaj  

Dynamic Performance Enhancement of a High‐Agility Hypersonic Mechanical System via a Learning‐Augmented Robust Control Architecture

International Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT The design of control systems for high‐agility mechanical systems operating in extreme environments is a significant challenge in nonlinear dynamics. This paper addresses the complex dynamic control problem of a hypersonic interceptor, modeled as a multi‐input multi‐output (MIMO) mechanical system characterized by strong aerodynamic cross ...
Mohammad Mahdi Soori, Seyed Hossein Sadati   +1 more
wiley   +1 more source

Synchronization and Antisynchronization of a Planar Oscillation of Satellite in an Elliptic Orbit via Active Control

Journal of Control Science and Engineering, 2011
We have investigated the synchronization and antisynchronization behaviour of two identical planar oscillation of a satellite in elliptic orbit evolving from different initial conditions using the active control technique based on the Lyapunov stability ...
Mohammad Shahzad
doaj   +1 more source

Guaranteed Cost Control for a Class of Nonlinear Discrete Time-Delay Systems

IEEE Access, 2019
The guaranteed cost control problem for a class of nonlinear discrete time-delay systems is investigated. Based on the Lyapunov matrix, a complete-type Lyapunov-Krasovskii functional is constructed.
Lanhui Zhang, Yu Xue, Xin Wang, Xian Zhang   +3 more
doaj   +1 more source

Suboptimal Model Predictive Control With a Computation Governor: Stability, Recursive Feasibility, and Applications to Alternating Direction Method of Multipliers

Optimal Control Applications and Methods, EarlyView.
Computational governor is shown which simultaneously adjusts the reference and adjusts the constraints. ABSTRACT The paper considers a computational governor strategy to facilitate the implementation of Model Predictive Control (MPC) based on inexact optimization when the time available to compute the solution may be insufficient.
Steven van Leeuwen, Ilya Kolmanovsky
wiley   +1 more source