This paper investigates the output feedback normalization and stabilization for singular fractional order systems with the fractional commensurate order α belonging to (0,2). Firstly, an effective criterion for the normalization of singular fractional order systems is given with output differential feedback. Afterwards, both static and dynamic output feedback stabilization of such normalized fractional order systems are derived. Besides, the robustness to the parameter uncertainty and the initial conditions are discussed in detail. All the results are given via linear matrix inequality (LMI) formulation. Finally, three numerical examples are provided to demonstrate the applicability of the proposed approaches.
Download full-text PDF |
Source |
|---|---|
| http://dx.doi.org/10.1016/j.isatra.2017.04.020 | DOI Listing |
Publication Analysis
Top Keywords
Similar Publications
Fractional and stochastic modeling of breast cancer progression with real data validation.
PLoS One
January 2025
Biology Department, Faculty of Science, Islamic University of Madinah, Madinah, Saudi Arabia.
This study presents a novel approach to modeling breast cancer dynamics, one of the most significant health threats to women worldwide. Utilizing a piecewise mathematical framework, we incorporate both deterministic and stochastic elements of cancer progression. The model is divided into three distinct phases: (1) initial growth, characterized by a constant-order Caputo proportional operator (CPC), (2) intermediate growth, modeled by a variable-order CPC, and (3) advanced stages, capturing stochastic fluctuations in cancer cell populations using a stochastic operator.
View Article and Find Full Text PDFOptical soliton solutions of the M-fractional paraxial wave equation.
Sci Rep
January 2025
Department of Mathematics, Pabna University of Science and Technology, Pabna, 6600, Bangladesh.
This research used a modified and extended auxiliary mapping method to examine the optical soliton solutions of the truncated time M-fractional paraxial wave equation. We employed the truncated time M-fractional derivative to eliminate the fractional order in the governing model. The few optical wave examples of the paraxial wave condition can assume an insignificant part in depicting the elements of optical soliton arrangements in optics and photonics for the investigation of different actual cycles, including the engendering of light through optical frameworks like focal points, mirrors, and fiber optics.
View Article and Find Full Text PDFCharacterizing the effects of calcineurin/NFAT inhibitor treatment on gray and white matter microstructure in the beagle model of Alzheimer's disease.
Alzheimers Dement
December 2024
Department of Neurobiology and Behavior, University of California, Irvine, Irvine, CA, USA
Background: In the context of pathological aging and Alzheimer's disease (AD), the overexpression of calcineurin has been identified as a factor linked to astrocyte reactivity, neuronal death, and inflammation. This suggests that inhibiting calcineurin or downstream nuclear factor of activated T cells (NFAT) signaling could be a promising strategy for preventing or slowing down AD pathophysiology.
Method: Baseline and annual MRI sessions including higher‐order diffusion‐weighted imaging was performed over four years on 43 dogs ranging from 5 to 8.
Does the message matter: A strategy to improve retention in recruitment registries.
Alzheimers Dement
December 2024
Institute for Memory Impairments and Neurological Disorders, University of California, Irvine, Irvine, CA, USA
Background: To be successful, recruitment registries must retain participants until they can be recruited to studies. Yet, strategies and tactics to improve retention in online recruitment registries remain understudied. This study seeks to quantify the preferences of registry participants’ when it comes to video message content aimed at increasing registry renewal.
View Article and Find Full Text PDFSpatial Characterization of White Matter Hyperintensity Pathophysiology Across Disorders.
Alzheimers Dement
December 2024
McGill University, Montreal, QC, Canada
Background: White matter hyperintensities (WMHs) are age‐related radiological abnormalities indicative of small vessel disease. It is unclear if WMHs in different regions represent similar pathophysiology and etiology. Here, we developed a framework to estimate WMH pathophysiology in vivo, which allowed us to precisely characterize spatial patterns of WMH tissue alterations associated with four disorders.
View Article and Find Full Text PDFWant AI Summaries of new PubMed Abstracts delivered to your In-box?
Enter search terms and have AI summaries delivered each week - change queries or unsubscribe any time!