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Related Concept Videos

BIBO stability of continuous and discrete -time systems01:24

BIBO stability of continuous and discrete -time systems

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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.
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An experiment often consists of more than a single step. In this case, measurements at each step give rise to uncertainty. Because the measurements occur in successive steps, the uncertainty in one step necessarily contributes to that in the subsequent step. As we perform statistical analysis on these types of experiments, we must learn to account for the propagation of uncertainty from one step to the next. The propagation of uncertainty depends on the type of arithmetic operation performed on...
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The atomic mass of an element varies due to the relative ratio of its isotopes. A sample's relative proportion of oxygen isotopes influences its average atomic mass. For instance, if we were to measure the atomic mass of oxygen from a sample, the mass would be a weighted average of the isotopic masses of oxygen in that sample. Since a single sample is not likely to perfectly reflect the true atomic mass of oxygen for all the molecules of oxygen on Earth, the mass we obtain from this...
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The frequency-domain technique, commonly used in analyzing and designing feedback control systems, is effective for linear, time-invariant systems. However, it falls short when dealing with nonlinear, time-varying, and multiple-input multiple-output systems. The time-domain or state-space approach addresses these limitations by utilizing state variables to construct simultaneous, first-order differential equations, known as state equations, for an nth-order system.
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A state function is a thermodynamic property that depends solely on the current state of a system, irrespective of its history or how it arrived at that state. These functions are represented by capital letters, such as U, H, and S, which stand for internal energy, enthalpy, and entropy, respectively.For instance, the value of internal energy depends on the system's state variables and remains unaffected by the process path. This means that whether the system underwent a linear process or a...
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Transmission lines are essential components of electrical power systems. They are characterized by the distributed nature of resistance (R), inductance (L), and capacitance (C) per unit length. To analyze these lines, differential equations are employed to model the variations in voltage and current along the line.
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Related Experiment Video

Updated: Mar 9, 2026

Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit
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Asynchronous Dissipative State Estimation for Stochastic Complex Networks With Quantized Jumping Coupling and

Yong Xu, Renquan Lu, Hui Peng

    IEEE Transactions on Neural Networks and Learning Systems
    |January 6, 2017
    PubMed
    Summary
    This summary is machine-generated.

    This study presents a new asynchronous state estimator for complex networks with random coupling and uncertain measurements. The method ensures stability and dissipativity for improved network performance.

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    Area of Science:

    • Control Systems Engineering
    • Network Science
    • Stochastic Systems

    Background:

    • State estimation is crucial for complex networks.
    • Challenges include random coupling and measurement uncertainty.
    • Existing methods struggle with asynchronous information and constraints.

    Purpose of the Study:

    • To develop an asynchronous state estimator for discrete-time stochastic complex networks.
    • To address randomly varying coupling governed by a Markov chain.
    • To handle capacity constraints and multiplicative measurement noise.

    Main Methods:

    • Designed an asynchronous estimator overcoming information access limitations.
    • Utilized a logarithmic quantizer for capacity constraints.
    • Employed multiplicative noise to model measurement uncertainty.
    • Augmented the estimation error system using the Kronecker product.

    Main Results:

    • Established sufficient conditions for stochastic stability of the estimation error system.
    • Guaranteed strict (Q, S, R)-γ-dissipativity.
    • Derived estimator gains via the linear matrix inequality method.

    Conclusions:

    • The proposed asynchronous estimator is effective for complex networks.
    • The design techniques ensure system stability and performance.
    • Numerical examples validate the new approach.