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Related Experiment Video

Updated: Jun 14, 2026

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

Generating chaos for discrete time-delayed systems via impulsive control.

Zhi-Hong Guan¹, Na Liu

¹Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074, People's Republic of China.

Chaos (Woodbury, N.Y.)

|April 8, 2010

Summary

This summary is machine-generated.

This study introduces a method to generate chaos in discrete time-delayed systems using impulsive control. The technique transforms complex systems into simpler linear ones, demonstrating effective chaos generation and control.

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Area of Science:

Control Theory
Nonlinear Dynamics
Systems Engineering

Background:

Discrete time-delayed systems are prevalent in various scientific and engineering fields.
Controlling chaos in such systems presents significant theoretical and practical challenges.
Impulsive control offers a powerful mechanism for system manipulation.

Purpose of the Study:

To investigate the generation of chaos in discrete time-delayed systems.
To develop a novel chaotification strategy using impulsive control.
To provide theoretical underpinnings and practical validation for the proposed method.

Main Methods:

Transformation of time-delay impulsive systems into linear discrete impulsive systems using the augmented matrix method.
Analysis of system dynamics based on the largest Lyapunov exponent.
Assessment of system boundedness to ensure stability and predictability.

Main Results:

Successfully derived theoretical results for chaotification in discrete impulsive systems with time delay.
Demonstrated the transformation of complex systems into a new class of linear discrete impulsive systems.
Validated the effectiveness of the proposed impulsive control strategy through an illustrative example.

Conclusions:

The augmented matrix method effectively simplifies discrete time-delayed impulsive systems for chaos analysis.
Impulsive control is a viable strategy for generating chaos in these systems.
The presented approach offers satisfactory control performance and theoretical insights into system dynamics.