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BIBO stability of continuous and discrete -time systems

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Updated: Jun 21, 2026

Automated Multimodal Stimulation and Simultaneous Neuronal Recording from Multiple Small Organisms
08:28

Automated Multimodal Stimulation and Simultaneous Neuronal Recording from Multiple Small Organisms

Published on: March 3, 2023

Control of stochastic multistable systems: experimental demonstration.

B K Goswami1, S Euzzor, K Al Naimee

  • 1Laser and Plasma Technology Division, Bhabha Atomic Research Centre, Mumbai 400085, India.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|August 8, 2009
PubMed
Summary
This summary is machine-generated.

Periodic modulation of system parameters effectively controls stochastic multistability. This method prevents unwanted jumps between system states caused by disturbances like noise and spikes.

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Area of Science:

  • Nonlinear Dynamics and Control Systems
  • Experimental Physics
  • Chaos Theory

Background:

  • Stochastic disturbances and spikes can significantly disrupt multistable dynamics in natural and laboratory systems.
  • Such perturbations pose challenges for devices designed for specific dynamical behaviors, hindering reliable operation.

Purpose of the Study:

  • To experimentally demonstrate that periodic modulation of system parameters can effectively control problems related to stochastic multistability.
  • To verify the robustness and wide applicability of this control mechanism across different systems and disturbance types.

Main Methods:

  • Experimental verification using two standard models: an analog circuit of Lorenz equations and a cavity-loss modulated CO2 laser.
  • Testing the control mechanism against three types of externally introduced disturbing signals: white Gaussian noise, pink noise, and a train of spikes.

Main Results:

  • Periodic modulation successfully controlled unwanted jumps to coexisting attractors in both tested systems.
  • The control mechanism proved effective in mitigating the effects of all three types of disturbances.
  • Demonstrated significant control over stochastic multistability-related issues.

Conclusions:

  • Periodic parameter modulation is a robust and widely applicable method for resolving stochastic multistability.
  • This technique offers a reliable solution for maintaining desired dynamical behavior in the presence of disturbances.