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

Propagation of Uncertainty from Systematic Error01:10

Propagation of Uncertainty from Systematic Error

919
The atomic mass of an element varies due to the relative ratio of its isotopes. A sample's relative proportion of oxygen isotopes influences its average atomic mass. For instance, if we were to measure the atomic mass of oxygen from a sample, the mass would be a weighted average of the isotopic masses of oxygen in that sample. Since a single sample is not likely to perfectly reflect the true atomic mass of oxygen for all the molecules of oxygen on Earth, the mass we obtain from this...
919
Propagation of Uncertainty from Random Error00:59

Propagation of Uncertainty from Random Error

1.1K
An experiment often consists of more than a single step. In this case, measurements at each step give rise to uncertainty. Because the measurements occur in successive steps, the uncertainty in one step necessarily contributes to that in the subsequent step. As we perform statistical analysis on these types of experiments, we must learn to account for the propagation of uncertainty from one step to the next. The propagation of uncertainty depends on the type of arithmetic operation performed on...
1.1K
BIBO stability of continuous and discrete -time systems01:24

BIBO stability of continuous and discrete -time systems

542
System stability is a fundamental concept in signal processing, often assessed using convolution. For a system to be considered bounded-input bounded-output (BIBO) stable, any bounded input signal must produce a bounded output signal. A bounded input signal is one where the modulus does not exceed a certain constant at any point in time.
To determine the BIBO stability, the convolution integral is utilized when a bounded continuous-time input is applied to a Linear Time-Invariant (LTI) system....
542
Time-Domain Interpretation of PD Control01:07

Time-Domain Interpretation of PD Control

187
Proportional-Derivative (PD) control is a widely used control method in various engineering systems to enhance stability and performance. In a system with only proportional control, common issues include high maximum overshoot and oscillation, observed in both the error signal and its rate of change. This behavior can be divided into three distinct phases: initial overshoot, subsequent undershoot, and gradual stabilization.
Consider the example of control of motor torque. Initially, a positive...
187
Feedback control systems01:26

Feedback control systems

444
Feedback control systems are categorized in various ways based on their design, analysis, and signal types.
Linear feedback systems are theoretical models that simplify analysis and design. These systems operate under the principle that their output is directly proportional to their input within certain ranges. For instance, an amplifier in a control system behaves linearly as long as the input signal remains within a specific range. However, most physical systems exhibit inherent nonlinearity...
444
Control Systems01:10

Control Systems

1.4K
Control systems are everywhere in contemporary society, influencing diverse applications from aerospace to automated manufacturing. These systems can be found naturally within biological processes, such as blood sugar regulation and heart rate adjustment in response to stress, as well as in man-made systems like elevators and automated vehicles. A control system is essentially a network of subsystems and processes that collaboratively convert specific inputs into desired outputs.
At the heart...
1.4K

You might also read

Related Articles

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

Sort by
Same author

Cryptotanshinone Directly Targets MEK1 to Inhibit Migration and Invasion of Breast Cancer Cells Through Down-Regulating ERK/EMT Axis.

Phytotherapy research : PTR·2026
Same author

Smartphone-based fluorescence imaging combined with a convolutional neural network-assisted intelligent multichannel immunosensor for simultaneous identification of four Salmonella serotypes based on multicolor luminescent iridium complexes.

Analytica chimica acta·2026
Same author

Inflammation in treatment-resistant depression: From mechanisms to therapeutics.

Brain research bulletin·2026
Same author

Genome-Wide Association Study of Plant and Ear Height in Maize (<i>Zea mays</i> L.) and Identification of Candidate Genes.

Plants (Basel, Switzerland)·2026
Same author

Vitexicarpin Directly Targets RSK2 to Attenuate Migration and Invasion of Triple-Negative Breast Cancer Through Modulating HIF-1α/MMP-9 Pathway.

Drug development research·2026
Same author

Interfacial Hydrogen Bond-Mediated Rigidification Strategy Coupled with Stepwise Antenna Effect for Ultrasensitive Electrochemiluminescence Detection.

Analytical chemistry·2026
Same journal

A tri-axis optomechanical accelerometer with plasmonic MIM waveguide and structural direction-dependent optical signatures.

Scientific reports·2026
Same journal

Holographic leaky-wave antennas with independently controlled multiple counter-rotating vortex beams.

Scientific reports·2026
Same journal

Differential associations of longitudinal hearing and vision trajectories with dementia and mild cognitive impairment in older adults.

Scientific reports·2026
Same journal

Abdominal obesity and leisure-time sedentary behavior in relation to gastroesophageal reflux disease risk: a prospective cohort study from the UK Biobank.

Scientific reports·2026
Same journal

Effect of nitrogen-rich COF incorporation on the structure and separation performance of polyamide nanofiltration membranes.

Scientific reports·2026
Same journal

Withanolide A inhibits hIAPP aggregation: An In silico, biophysical, and drosophila-based In vivo validation.

Scientific reports·2026
See all related articles

Related Experiment Video

Updated: Sep 23, 2025

Real-Time Proxy-Control of Re-Parameterized Peripheral Signals using a Close-Loop Interface
11:54

Real-Time Proxy-Control of Re-Parameterized Peripheral Signals using a Close-Loop Interface

Published on: May 8, 2021

4.7K

A fully probabilistic control framework for stochastic systems with input and state delay.

Randa Herzallah1, Yuyang Zhou2

  • 1Mathematics Group, Aston University, Aston Triangle, Birmingham, B4 7ET, UK. r.herzallah@aston.ac.uk.

Scientific Reports
|May 13, 2022
PubMed
Summary
This summary is machine-generated.

This study introduces a unified probabilistic control framework for stochastic systems with time delays. It develops a randomized controller using Kullback-Leibler Divergence for improved system performance.

More Related Videos

WheelCon: A Wheel Control-Based Gaming Platform for Studying Human Sensorimotor Control
08:18

WheelCon: A Wheel Control-Based Gaming Platform for Studying Human Sensorimotor Control

Published on: August 15, 2020

5.1K
Interactive and Visualized Online Experimentation System for Engineering Education and Research
08:35

Interactive and Visualized Online Experimentation System for Engineering Education and Research

Published on: November 24, 2021

2.6K

Related Experiment Videos

Last Updated: Sep 23, 2025

Real-Time Proxy-Control of Re-Parameterized Peripheral Signals using a Close-Loop Interface
11:54

Real-Time Proxy-Control of Re-Parameterized Peripheral Signals using a Close-Loop Interface

Published on: May 8, 2021

4.7K
WheelCon: A Wheel Control-Based Gaming Platform for Studying Human Sensorimotor Control
08:18

WheelCon: A Wheel Control-Based Gaming Platform for Studying Human Sensorimotor Control

Published on: August 15, 2020

5.1K
Interactive and Visualized Online Experimentation System for Engineering Education and Research
08:35

Interactive and Visualized Online Experimentation System for Engineering Education and Research

Published on: November 24, 2021

2.6K

Area of Science:

  • Control Theory
  • Stochastic Systems
  • Time-Delay Systems

Background:

  • Stochastic systems with time delays present significant control challenges.
  • Existing methods often struggle to simultaneously address stochasticity and time delays.
  • A unified framework is needed for comprehensive control design.

Purpose of the Study:

  • To propose a unified probabilistic control framework for stochastic systems with control input and state time delays.
  • To develop a rigorous control methodology that accounts for both system stochasticity and time delays.
  • To derive an optimal randomized controller using a probabilistic approach.

Main Methods:

  • Formulating the control problem within a fully probabilistic framework.
  • Utilizing Kullback-Leibler Divergence to quantify discrepancies between system and ideal probability density functions.
  • Developing an analytic control solution for linear Gaussian stochastic systems with time delays.
  • Employing a successive approximation approach to handle time-advanced control components.

Main Results:

  • A unified probabilistic control framework capable of handling stochastic systems with time delays.
  • Derivation of a randomized controller based on minimizing probabilistic divergence.
  • An analytic solution for linear Gaussian systems and a method for general cases.
  • Demonstrated effectiveness through numerical and real-world examples.

Conclusions:

  • The proposed framework offers a comprehensive and rigorous approach to controlling stochastic systems with time delays.
  • The probabilistic method effectively addresses the complexities introduced by both stochasticity and time delays.
  • The framework's applicability is validated by successful implementation on diverse examples.