Results 71 to 80 of about 7,477,984 (235)

Investigating Tuberculosis Dynamics Under Various Control Strategies: A Comprehensive Analysis Using Real Statistical Data

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In the present investigation, a mathematical model with vaccination, treatment, and environmental impact under real data is presented. Initially, we present the model without any interventions, followed by an examination of its equilibrium points.
Bashir Al‐Hdaibat   +4 more
wiley   +1 more source

On the Lyapunov stability theory for impulsive dynamical systems

open access: yesTopological 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

From Biological Fractal Dynamics to Analog Fractional‐Order Circuits: A System Design Framework Based on Operatorization Thought

open access: yesInternational Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT Fractional calculus, with its unique advantage in describing memory and nonlocal effects, has become a key tool for modeling nonlinear dynamic systems. Its integration with circuit systems has opened up a new paradigm for modern circuit design.
Zhimo Jian   +4 more
wiley   +1 more source

Enhanced Control Strategies for Residual‐Vibration Suppression and Adaptive Tracking in Flexible Manipulator Under Unknown Bounded Disturbances

open access: yesInternational Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT This paper proposes a hybrid control strategy for flexible‐link manipulators that combines offline trajectory planning with adaptive tracking to suppress residual elastic vibration (REV) under unknown bounded disturbances. A rigid–flexible coupling dynamics model is first established using the floating‐frame method and Lagrange's equations ...
Mingming Shi   +5 more
wiley   +1 more source

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

open access: yesInternational 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]

open access: yes, 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

open access: yesEngineering 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  

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

open access: yesJournal 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

Optimal Control Analysis of Vertically Transmitted Infectious Diseases With Saturated Incidence and Nonlinear Treatment

open access: yesOptimal Control Applications and Methods, EarlyView.
Schematic representation of the proposed disease transmission model incorporating vertical transmission, saturated incidence, and nonlinear treatment. The study combines theoretical analysis, bifurcation and stability investigations, and optimal control techniques to evaluate prevention and treatment interventions.
Oludolapo A. Olanrewaju   +1 more
wiley   +1 more source

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

open access: yesIEEE 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   +3 more
doaj   +1 more source

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