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

Linear Approximation in Frequency Domain

Linear Approximation in Frequency Domain

Linear systems are characterized by two main properties: superposition and homogeneity. Superposition allows the response to multiple inputs to be the sum of the responses to each individual input. Homogeneity ensures that scaling an input by a scalar results in the response being scaled by the same scalar.
In contrast, nonlinear systems do not inherently possess these properties. However, for small deviations around an operating point, a nonlinear system can often be approximated as linear....

Classification of Systems-I

Classification of Systems-I

Linearity is a system property characterized by a direct input-output relationship, combining homogeneity and additivity.
Homogeneity dictates that if an input x(t) is multiplied by a constant c, the output y(t) is multiplied by the same constant. Mathematically, this is expressed as:

Feedback control systems

Feedback control systems

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...

Linear Approximation in Time Domain

Linear Approximation in Time Domain

Nonlinear systems often require sophisticated approaches for accurate modeling and analysis, with state-space representation being particularly effective. This method is especially useful for systems where variables and parameters vary with time or operating conditions, such as in a simple pendulum or a translational mechanical system with nonlinear springs.
For a simple pendulum with a mass evenly distributed along its length and the center of mass located at half the pendulum's length,...

Linear time-invariant Systems

Linear time-invariant Systems

A system is linear if it displays the characteristics of homogeneity and additivity, together termed the superposition property. This principle is fundamental in all linear systems. Linear time-invariant (LTI) systems include systems with linear elements and constant parameters.
The input-output behavior of an LTI system can be fully defined by its response to an impulsive excitation at its input. Once this impulse response is known, the system's reaction to any other input can be...

Classification of Systems-II

Classification of Systems-II

Continuous-time systems have continuous input and output signals, with time measured continuously. These systems are generally defined by differential or algebraic equations. For instance, in an RC circuit, the relationship between input and output voltage is expressed through a differential equation derived from Ohm's law and the capacitor relation,

You might also read

Related Articles

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

Sort by

Same author

Maximum fluence for accurate functional photoacoustic microscopy.

Photoacoustics·2026

Same author

Non-invasive electrical stimulation for sleep disturbances in adults: protocol for an evidence-mapping umbrella review of systematic reviews and meta-analyses with subgroup analysis by intervention type and population.

Frontiers in psychiatry·2026

Same author

Targeting Rap1-YAP1 mechanosignaling for ameliorating acute IOP elevation-induced trabecular meshwork dysfunction.

iScience·2026

Same author

Nucleoplasmic checkpoint of the 40S ribosomal decoding center maturation.

Cell reports·2026

Same author

A temporal-spectral dual-stream anti-noise bearing fault diagnosis model based on adaptive mode decomposition.

Scientific reports·2026

Same author

The Association Between Immune Cells and Venous Thromboembolism: A Causal Inference Based on Mendelian Randomization.

Clinical and applied thrombosis/hemostasis : official journal of the International Academy of Clinical and Applied Thrombosis/Hemostasis·2026

Search research articles

Related Experiment Video

Updated: Mar 11, 2026

Interactive and Visualized Online Experimentation System for Engineering Education and Research

Interactive and Visualized Online Experimentation System for Engineering Education and Research

Published on: November 24, 2021

Output Consensus of a Class of Multiple Heterogeneous-Dimensional Switched Nonlinear Systems.

Wencheng Zou, Jingyi Zhu, Zhengrong Xiang

IEEE Transactions on Cybernetics

|March 9, 2026

Summary

This study solves the practical output consensus problem for heterogeneous-dimensional switched nonlinear systems (HDSNSs). A novel cooperative control protocol using sampled-data output interactions achieves consensus in these complex systems.

More Related Videos

Experimental Investigation of the Hierarchical Control in DC Microgrids Using a Real-time Simulator

Experimental Investigation of the Hierarchical Control in DC Microgrids Using a Real-time Simulator

Published on: February 14, 2025

Closed-loop Neuro-robotic Experiments to Test Computational Properties of Neuronal Networks

Closed-loop Neuro-robotic Experiments to Test Computational Properties of Neuronal Networks

Published on: March 2, 2015

Related Experiment Videos

Last Updated: Mar 11, 2026

Interactive and Visualized Online Experimentation System for Engineering Education and Research

Interactive and Visualized Online Experimentation System for Engineering Education and Research

Published on: November 24, 2021

Experimental Investigation of the Hierarchical Control in DC Microgrids Using a Real-time Simulator

Experimental Investigation of the Hierarchical Control in DC Microgrids Using a Real-time Simulator

Published on: February 14, 2025

Closed-loop Neuro-robotic Experiments to Test Computational Properties of Neuronal Networks

Closed-loop Neuro-robotic Experiments to Test Computational Properties of Neuronal Networks

Published on: March 2, 2015

Area of Science:

Control Systems Engineering
Nonlinear Dynamics
Systems Theory

Background:

The consensus problem for multiple heterogeneous-dimensional switched nonlinear systems (HDSNSs) is a complex, unresolved challenge.
Distinct state dimensions and switching dynamics in HDSNSs contribute to their intricate behavior.

Purpose of the Study:

To address the research gap in achieving practical output consensus for multiple HDSNSs.
To develop a cooperative control strategy for HDSNSs with nonlinear strict-feedback subsystems.

Main Methods:

Design of a cooperative control protocol utilizing sampled-data output interactions.
Analysis of systems with nonlinear strict-feedback subsystems under minimum dwell-time switching signals.

Main Results:

Successful accomplishment of the cooperative control goal for multiple HDSNSs.
Validation of the proposed control theorem through a numerical example.

Conclusions:

The developed protocol effectively solves the practical output consensus problem for the studied class of HDSNSs.
The findings advance the understanding and control of complex nonlinear systems with switching dynamics.