Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Multiple Pipe Systems01:21

Multiple Pipe Systems

1.2K
Multipipe systems consist of complex configurations of interconnected pipes designed to transport fluids efficiently across intricate networks. They are essential in engineering applications requiring precise control over flow distribution, pressure, and head loss. They are categorized into series, parallel, loop, and network configurations, each distinguished by unique flow characteristics and applications.
Series Configuration
In a series configuration, fluid flows sequentially from one pipe...
1.2K
Euler Equations of Motion01:19

Euler Equations of Motion

646
Imagine a rigid body that is rotating at an angular velocity of ω within an inertial frame of reference. Along with this, picture a second rotating frame that is attached to the body itself. This frame moves along with the body and possesses an angular velocity of Ω. The total moment about the center of mass is calculated by adding the rate of change of angular momentum about the center of mass in relation to the rotating frame and the cross-product of the body's angular velocity...
646
Euler's Equations of Motion01:28

Euler's Equations of Motion

926
In fluid mechanics, shear stresses arise from viscosity, which represents a fluid's internal resistance to deformation. For low-viscosity fluids, like water, these stresses are minimal, simplifying flow analysis by allowing the fluid to be treated as inviscid, or frictionless. In an inviscid fluid, shear stresses are absent, leaving only normal stresses, which act perpendicularly to fluid elements. Notably, pressure — defined as the negative of the normal stress — remains uniform across...
926
Euler's Formula to Columns with Other End Conditions01:15

Euler's Formula to Columns with Other End Conditions

1.1K
Euler's formula is very important in the field of structural engineering, providing a foundation for understanding the critical loading conditions of pin-ended columns. This formula links the modulus of elasticity, the moment of inertia of the cross-section, and the column's length, offering a precise calculation of the critical load at which a column is prone to buckling.
1.1K
Euler's Formula to Columns: Problem Solving01:23

Euler's Formula to Columns: Problem Solving

963
Euler's formula is used in structural engineering to determine the buckling load of columns under various conditions. However, when dealing with systems that incorporate both rigid elements and elastic components, such as springs, the analysis requires a finer approach to determine the critical load. The problem described involves two rigid bars connected at a pivot point with a spring attached and a vertical load applied at one end.
The system comprises two vertical rigid bars, AB and BC, of...
963
Euler's Formula for Pin-Ended Columns01:21

Euler's Formula for Pin-Ended Columns

732
In structural engineering, the stability of columns under compressive axial loads is a critical consideration, described as buckling. A typical example involves a column PQ, which is pin-connected at both ends and subjected to a centric axial load F applied at one end, with a reaction force of F' = -F at the other end. Here, it is crucial to understand that when an applied load exceeds the critical load, buckling occurs as the system becomes unstable.
To calculate the critical load, envision...
732

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Imides modified benzopicenes: synthesis, solid structure and optoelectronic properties.

Organic & biomolecular chemistry·2014
Same author

An efficient identity-based key management scheme for wireless sensor networks using the Bloom filter.

Sensors (Basel, Switzerland)·2014
Same author

A rare variant in APOC3 is associated with plasma triglyceride and VLDL levels in Europeans.

Nature communications·2014
Same author

A new nodavirus is associated with covert mortality disease of shrimp.

The Journal of general virology·2014
Same author

Sensitive detection of trace amounts of KRAS codon 12 mutations by a fast and novel one-step technique.

Clinical biochemistry·2014
Same author

Guillain-Barré syndrome associated with Japanese encephalitis virus infection in China.

Viral immunology·2014

Related Experiment Video

Updated: Feb 1, 2026

Community-based Adapted Tango Dancing for Individuals with Parkinson's Disease and Older Adults
09:19

Community-based Adapted Tango Dancing for Individuals with Parkinson's Disease and Older Adults

Published on: December 9, 2014

26.3K

Adaptive Leader-Following Consensus for Multiple Euler-Lagrange Systems With an Uncertain Leader System.

Shimin Wang, Jie Huang

    IEEE Transactions on Neural Networks and Learning Systems
    |November 30, 2018
    PubMed
    Summary

    This study addresses leader-following consensus for Euler-Lagrange (EL) systems with unknown leader dynamics. An adaptive observer and control law enable followers to achieve consensus without exact knowledge of the leader system matrix.

    More Related Videos

    Using the Threat Probability Task to Assess Anxiety and Fear During Uncertain and Certain Threat
    11:18

    Using the Threat Probability Task to Assess Anxiety and Fear During Uncertain and Certain Threat

    Published on: September 12, 2014

    15.8K
    The Use of Chemostats in Microbial Systems Biology
    13:19

    The Use of Chemostats in Microbial Systems Biology

    Published on: October 14, 2013

    31.7K

    Related Experiment Videos

    Last Updated: Feb 1, 2026

    Community-based Adapted Tango Dancing for Individuals with Parkinson's Disease and Older Adults
    09:19

    Community-based Adapted Tango Dancing for Individuals with Parkinson's Disease and Older Adults

    Published on: December 9, 2014

    26.3K
    Using the Threat Probability Task to Assess Anxiety and Fear During Uncertain and Certain Threat
    11:18

    Using the Threat Probability Task to Assess Anxiety and Fear During Uncertain and Certain Threat

    Published on: September 12, 2014

    15.8K
    The Use of Chemostats in Microbial Systems Biology
    13:19

    The Use of Chemostats in Microbial Systems Biology

    Published on: October 14, 2013

    31.7K

    Area of Science:

    • Robotics
    • Control Theory
    • Systems Engineering

    Background:

    • Leader-following consensus is crucial for coordinated multi-agent systems.
    • Euler-Lagrange (EL) systems present unique challenges due to their complex dynamics.
    • Uncertainty in the leader system's parameters hinders robust consensus achievement.

    Purpose of the Study:

    • To develop an adaptive distributed observer for uncertain linear leader systems.
    • To design an adaptive distributed control law for leader-following consensus in EL systems.
    • To enable consensus without precise knowledge of the leader's system matrix.

    Main Methods:

    • Established an adaptive distributed observer for neutrally stable linear leader systems with unknown system matrices.
    • Utilized standard assumptions for state estimation and communication.
    • Employed the certainty equivalence principle to synthesize the adaptive distributed control law.

    Main Results:

    • The adaptive observer estimates and transmits the leader's state to followers.
    • Under persistent excitation, the observer asymptotically learns the leader's system matrix parameters.
    • The proposed control law successfully solves the leader-following consensus problem for EL systems.

    Conclusions:

    • Achieved leader-following consensus for multiple EL systems despite leader system uncertainty.
    • Demonstrated the effectiveness of adaptive observers and control in networked systems.
    • The approach removes the need for followers to know the leader's exact system matrix.