Related Experiment Video
Updated: Sep 26, 2025
08:07
Assembly and Characterization of Biomolecular Memristors Consisting of Ion Channel-doped Lipid Membranes
Published on: March 9, 2019
8.0K
Reachable Set Estimation for Memristive Complex-Valued Neural Networks With Disturbances
IEEE Transactions on Neural Networks and Learning Systems
|April 21, 2022
Summary
This study estimates reachable sets for memristive complex-valued neural networks (MCVNNs) with disturbances. Algebraic methods prove state convergence within a sphere, yielding convergence speed and observer design.
Area of Science:
- Neuroscience
- Complex Systems
- Control Theory
Background:
- Memristive complex-valued neural networks (MCVNNs) are advanced computational models.
- Understanding their dynamic behavior under disturbances is crucial for reliable applications.
- Reachable set estimation provides bounds on network states.
Purpose of the Study:
- To estimate the reachable set for MCVNNs subject to bounded input disturbances.
- To analyze the convergence properties and speed of these networks.
- To design an observer for monitoring the states of MCVNNs.
Main Methods:
- Utilizing algebraic calculation techniques.
- Applying the Gronwall-Bellman inequality for convergence analysis.
- Developing a state observer for MCVNNs.
Main Results:
- Demonstrated that states of MCVNNs with bounded input disturbances converge within a defined sphere.
- Derived the convergence speed for the network states.
- Successfully designed an observer for MCVNNs.
Conclusions:
- The proposed methods effectively estimate reachable sets for MCVNNs under disturbances.
- The convergence analysis provides valuable insights into network stability.
- The designed observer facilitates state monitoring and control.
Related Concept Videos
01:30Current Growth And Decay In RL Circuits
4.1K
The current growth and decay in RL circuits can be understood by considering a series RL circuit consisting of a resistor, an inductor, a constant source of emf, and two switches. When the first switch is closed, the circuit is equivalent to a single-loop circuit consisting of a resistor and an inductor connected to a source of emf. In this case, the source of emf produces a current in the circuit. If there were no self-inductance in the circuit, the current would rise immediately to a steady...
4.1K
01:26Linear Approximation in Frequency Domain
146
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....
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....
146
01:23Root Loci for Positive-Feedback Systems
164
The Hartley oscillator is a positive feedback system that sustains oscillations by feeding the output back to the input in phase, thereby reinforcing the signal. Positive feedback systems can be viewed as negative feedback systems with inverted feedback signals. In these systems, the root locus encompasses all points on the s-plane where the angle of the system transfer function equals 360 degrees.
The construction rules for the root locus in positive feedback systems are similar to those in...
The construction rules for the root locus in positive feedback systems are similar to those in...
164
01:24Resting Membrane Potential
19.6K
The relative difference in electrical charge, or voltage, between the inside and the outside of a cell membrane, is called the membrane potential. It is generated by differences in permeability of the membrane to various ions and the concentrations of these ions across the membrane.
The Inside of a Neuron is More Negative
The membrane potential of a cell can be measured by inserting a microelectrode into a cell and comparing the charge to a reference electrode in the extracellular fluid. The...
The Inside of a Neuron is More Negative
The membrane potential of a cell can be measured by inserting a microelectrode into a cell and comparing the charge to a reference electrode in the extracellular fluid. The...
19.6K
01:22Multi-input and Multi-variable systems
176
Cruise control systems in cars are designed as multi-input systems to maintain a driver's desired speed while compensating for external disturbances such as changes in terrain. The block diagram for a cruise control system typically includes two main inputs: the desired speed set by the driver and any external disturbances, such as the incline of the road. By adjusting the engine throttle, the system maintains the vehicle's speed as close to the desired value as possible.
In the absence...
In the absence...
176
01:29Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving
108
Mechanistic models play a crucial role in algorithms for numerical problem-solving, particularly in nonlinear mixed effects modeling (NMEM). These models aim to minimize specific objective functions by evaluating various parameter estimates, leading to the development of systematic algorithms. In some cases, linearization techniques approximate the model using linear equations.
In individual population analyses, different algorithms are employed, such as Cauchy's method, which uses a...
In individual population analyses, different algorithms are employed, such as Cauchy's method, which uses a...
108