Search research articles

ABOUT JoVE

Overview Leadership Blog JoVE Help Center

AUTHORS

Publishing Process Editorial Board Scope & Policies Peer Review FAQ Submit

LIBRARIANS

Testimonials Subscriptions Access Resources Library Advisory Board FAQ

RESEARCH

JoVE Journal Methods Collections JoVE Encyclopedia of Experiments Archive

EDUCATION

JoVE Core JoVE Business JoVE Science Education JoVE Lab Manual Faculty Resource Center Faculty Site

Terms & Conditions of Use

Related Concept Videos

PD Controller: Design

PD Controller: Design

In automotive engineering, car suspension systems often employ Proportional Derivative (PD) controllers to enhance performance. PD controllers are utilized to adjust the damping force in response to road conditions. A controller, acting as an amplifier with a constant gain, demonstrates proportional control, with output directly mirroring input.
Designing a continuous-data controller requires selecting and linking components like adders and integrators, which are fundamental in Proportional,...

Types of Damping

Types of Damping

If the amount of damping in a system is gradually increased, the period and frequency start to become affected because damping opposes, and hence slows, the back and forth motion (the net force is smaller in both directions). If there is a very large amount of damping, the system does not even oscillate; instead, it slowly moves toward equilibrium. In brief, an overdamped system moves slowly towards equilibrium, whereas an underdamped system moves quickly to equilibrium but will oscillate about...

Second Order systems II

Second Order systems II

In an underdamped second-order system, where the damping ratio ζ is between 0 and 1, a unit-step input results in a transfer function that, when transformed using the inverse Laplace method, reveals the output response. The output exhibits a damped sinusoidal oscillation, and the difference between the input and output is termed the error signal. This error signal also demonstrates damped oscillatory behavior. Eventually, as the system reaches a steady state, the error diminishes to zero.

Limits to Natural Selection

Limits to Natural Selection

Organisms that are well-adapted to their environment are more likely to survive and reproduce. However, natural selection does not lead to perfectly adapted organisms. Several factors constrain natural selection.

BIBO stability of continuous and discrete -time systems

BIBO stability of continuous and discrete -time systems

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....

Controller Configurations

Controller Configurations

Controller configurations are crucial in a car's cruise control system because they manage speed over time to maintain a consistent pace regardless of road conditions, thereby meeting design goals. In traditional control systems, fixed-configuration design involves predetermined controller placement. System performance modifications are known as compensation.
Control-system compensation involves various configurations, most commonly series or cascade compensation, in which the controller...

You might also read

Related Articles

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

Sort by

Same journal

From Nash Equilibrium to Social Optimum and Back: A Mean Field Perspective.

Applied mathematics and optimization·2026

Same journal

Random Neural Networks for Rough Volatility.

Applied mathematics and optimization·2026

Same journal

Finite Element Approximation of Lyapunov Equations Related to Parabolic Stochastic PDEs.

Applied mathematics and optimization·2025

Same journal

Nonlinear Monte Carlo Methods with Polynomial Runtime for Bellman Equations of Discrete Time High-Dimensional Stochastic Optimal Control Problems.

Applied mathematics and optimization·2025

Same journal

Shape-Programming in Hyperelasticity Through Differential Growth.

Applied mathematics and optimization·2024

Same journal

On the Determination of Lagrange Multipliers for a Weighted LASSO Problem Using Geometric and Convex Analysis Techniques.

Applied mathematics and optimization·2024

See all related articles

Search research articles

Related Experiment Video

Updated: Jun 5, 2025

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

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

Published on: August 15, 2020

Stopper vs. Singular Controller Games With Degenerate Diffusions.

Andrea Bovo¹, Tiziano De Angelis^1,2, Jan Palczewski³

¹School of Management and Economics, Dept. ESOMAS, University of Torino, Corso Unione Sovietica 218 Bis, Torino, 10134 Italy.

Applied Mathematics and Optimization

|December 9, 2024

Summary

This summary is machine-generated.

This study addresses degenerate stochastic games, proving a game value exists and finding optimal stopper strategies. A probabilistic perturbation method overcomes analytical limitations for degenerate diffusion processes.

Keywords:

Controlled diffusions Degenerate diffusions Gradient constraint Obstacle problems Optimal stopping Singular control Variational inequalities Zero-sum stochastic games

More Related Videos

Irrelevant Stimuli and Action Control: Analyzing the Influence of Ignored Stimuli via the Distractor-Response Binding Paradigm

Irrelevant Stimuli and Action Control: Analyzing the Influence of Ignored Stimuli via the Distractor-Response Binding Paradigm

Published on: May 14, 2014

New Variations for Strategy Set-shifting in the Rat

New Variations for Strategy Set-shifting in the Rat

Published on: January 23, 2017

Related Experiment Videos

Last Updated: Jun 5, 2025

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

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

Published on: August 15, 2020

Irrelevant Stimuli and Action Control: Analyzing the Influence of Ignored Stimuli via the Distractor-Response Binding Paradigm

Irrelevant Stimuli and Action Control: Analyzing the Influence of Ignored Stimuli via the Distractor-Response Binding Paradigm

Published on: May 14, 2014

New Variations for Strategy Set-shifting in the Rat

New Variations for Strategy Set-shifting in the Rat

Published on: January 23, 2017

Area of Science:

Stochastic Analysis
Game Theory
Optimal Control

Background:

Investigates zero-sum stochastic games with degenerate diffusion dynamics.
Standard analytical methods are insufficient due to degenerate dynamics.

Purpose of the Study:

Establish the existence of a game value for degenerate stochastic games.
Determine optimal strategies for the stopper in such games.

Main Methods:

Employs a probabilistic approach using diffusion perturbation.
Analyzes approximating non-degenerate games for convergence.
Constructs optimal stopping times for perturbed games.

Main Results:

Proves the existence of a game value for degenerate stochastic games.
Identifies an optimal strategy for the stopper.
Demonstrates convergence of perturbed game values and stopping times.

Conclusions:

The probabilistic perturbation method successfully addresses degenerate stochastic games.
Optimal stopping times for the original game are derived from perturbed solutions.