Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

BIBO stability of continuous and discrete -time systems01:24

BIBO stability of continuous and discrete -time systems

932
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.
To determine the BIBO stability, the convolution integral is utilized when a bounded continuous-time input is applied to a Linear Time-Invariant (LTI) system....
932
Continuous Charge Distributions01:17

Continuous Charge Distributions

8.4K
Imagine a bucket of water. It contains many molecules, of the order of 1026 molecules. Thus, although it contains discrete elements (molecules) at the microscopic level, macroscopically, it can be considered continuous. Small volume elements of water, infinitesimal compared to the bulk of the bucket's volume, still contain many molecules. Under this framework, quantized matter is approximated as continuous for practical purposes.
The electric charge can also be subjected to an analogical...
8.4K
Continuous -time Fourier Transform01:11

Continuous -time Fourier Transform

913
The Fourier series is instrumental in representing periodic functions, offering a powerful method to decompose such functions into a sum of sinusoids. This technique, however, necessitates modification when applied to nonperiodic functions. Consider a pulse-train waveform consisting of a series of rectangular pulses. When these pulses have a finite period, they can be accurately represented by a Fourier series. Yet, as the period approaches infinity, resulting in a single, isolated pulse, the...
913
Basic Continuous Time Signals01:22

Basic Continuous Time Signals

705
Basic continuous-time signals include the unit step function, unit impulse function, and unit ramp function, collectively referred to as singularity functions. Singularity functions are characterized by discontinuities or discontinuous derivatives.
The unit step function, denoted u(t), is zero for negative time values and one for positive time values, exhibiting a discontinuity at t=0. This function often represents abrupt changes, such as the step voltage introduced when turning a car's...
705
Sampling Continuous Time Signal01:11

Sampling Continuous Time Signal

751
In signal processing, a continuous-time signal can be sampled using an impulse-train sampling technique, followed by the zero-order hold method. Impulse-train sampling involves the use of a periodic impulse train, which consists of a series of delta functions spaced at regular intervals determined by the sampling period. When a continuous-time signal is multiplied by this impulse train, it generates impulses with amplitudes corresponding to the signal's values at the sampling points.
In the...
751
Linear time-invariant Systems01:23

Linear time-invariant Systems

931
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...
931

You might also read

Related Articles

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

Sort by
Same author

Aumolertinib with or without chemotherapy in EGFR-mutated advanced non-small-cell lung cancer (AENEAS2): an open-label, multicentre, randomised, controlled, phase 3 trial.

The Lancet. Oncology·2026
Same author

A novel magnetic adsorbent for simultaneous removal of proteins and pigments from shiitake mushroom polysaccharides.

Talanta·2026
Same author

Effect of Cavity Microenvironment in Cobalt-Encapsulated Hollow Carbon Spheres on Selective Phenol Hydrogenation to Cyclohexanol.

Langmuir : the ACS journal of surfaces and colloids·2026
Same author

Analysis and suppression of the leakage light-induced noises in a large-capacity FBG sensing system.

Optics express·2026
Same author

Peptide Receptor Radionuclide Therapy for Recurrent Neuroendocrine Tumor Liver Metastases After Liver transplantation: A Case Series.

Transplantation proceedings·2026
Same author

Effective treatment of acute graft-versus-host disease following liver transplantation using an integrated regimen centered on antithymocyte globulin: a single-center experience.

Frontiers in immunology·2026
Same journal

Optimization of mode discerning control for nonlinear hybrid systems subject to unknown inputs with applications to active fault diagnosis.

ISA transactions·2026
Same journal

Convergence evaluation of optimization-based stochastic iterative learning control.

ISA transactions·2026
Same journal

Adaptive utility-aware event-triggered reinforcement learning for hybrid attack scheduling against remote state estimation.

ISA transactions·2026
Same journal

Hybrid vehicle state estimation using closed-form liquid neural networks and nonlinear Kalman filtering.

ISA transactions·2026
Same journal

Cross-coupled synchronization control strategy for rebar binding robots based on impedance control.

ISA transactions·2026
Same journal

Gas flow tracking for electronic pressure control system in gas chromatography under state constraints and hysteresis：An innovative fuzzy adaptive control approach.

ISA transactions·2026
See all related articles

Related Experiment Video

Updated: Feb 5, 2026

A Protein Preparation Method for the High-throughput Identification of Proteins Interacting with a Nuclear Cofactor Using LC-MS/MS Analysis
05:43

A Protein Preparation Method for the High-throughput Identification of Proteins Interacting with a Nuclear Cofactor Using LC-MS/MS Analysis

Published on: January 24, 2017

8.9K

Nuclear norm subspace identification for continuous-time stochastic systems based on distribution theory method.

Miao Yu1, Jianchang Liu1, Honghai Wang1

  • 1College of Information Science and Engineering, Northeastern University, Shenyang, PR China; State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University, Shenyang, Liaoning Province 110819, PR China.

ISA Transactions
|September 2, 2018
PubMed
Summary
This summary is machine-generated.

This study introduces a new nuclear norm subspace identification method for continuous-time stochastic systems. It effectively estimates system states and reduces noise using random distribution theory and Kalman filtering.

Keywords:
Continuous-time stochastic systemKalman filterNuclear normRandom distribution theorySubspace identification

More Related Videos

DNA-based Fish Species Identification Protocol
09:15

DNA-based Fish Species Identification Protocol

Published on: April 28, 2010

30.2K
A High-Throughput In Situ Method for Estimation of Hepatocyte Nuclear Ploidy in Mice
08:44

A High-Throughput In Situ Method for Estimation of Hepatocyte Nuclear Ploidy in Mice

Published on: April 19, 2020

10.4K

Related Experiment Videos

Last Updated: Feb 5, 2026

A Protein Preparation Method for the High-throughput Identification of Proteins Interacting with a Nuclear Cofactor Using LC-MS/MS Analysis
05:43

A Protein Preparation Method for the High-throughput Identification of Proteins Interacting with a Nuclear Cofactor Using LC-MS/MS Analysis

Published on: January 24, 2017

8.9K
DNA-based Fish Species Identification Protocol
09:15

DNA-based Fish Species Identification Protocol

Published on: April 28, 2010

30.2K
A High-Throughput In Situ Method for Estimation of Hepatocyte Nuclear Ploidy in Mice
08:44

A High-Throughput In Situ Method for Estimation of Hepatocyte Nuclear Ploidy in Mice

Published on: April 19, 2020

10.4K

Area of Science:

  • Systems Engineering
  • Control Theory
  • Stochastic Processes

Background:

  • Subspace identification is crucial for modeling complex systems.
  • Continuous-time stochastic systems present challenges due to noise and dynamics.
  • Existing methods may struggle with accurate order determination and noise handling.

Purpose of the Study:

  • To propose a novel nuclear norm subspace identification method for continuous-time stochastic systems.
  • To address the time-derivative problem using random distribution theory.
  • To optimize system order and perform state estimation in the presence of noise.

Main Methods:

  • Utilizing random distribution theory to solve the time-derivative problem and derive input-output algebraic equations.
  • Employing a Kalman filter for state estimation and stochastic noise reduction.
  • Applying nuclear norm minimization and the alternating direction method of multipliers for system order optimization.

Main Results:

  • The proposed method successfully identifies the nuclear norm subspace of continuous-time stochastic systems.
  • Kalman filtering effectively handles stochastic noise, improving state estimation accuracy.
  • Nuclear norm minimization provides an effective approach for optimizing system order.

Conclusions:

  • The developed method offers an effective solution for identifying continuous-time stochastic systems.
  • The integration of random distribution theory, Kalman filtering, and nuclear norm minimization enhances identification accuracy and robustness.
  • Simulation results validate the efficacy of the proposed approach.