Padé-like approximation and its application in domain of attraction estimation

Yaghmaei, Abolfazl; Yazdanpanah, Mohammad Javad

doi:10.1093/imamci/dnw071

Cited by 6 publications

(9 citation statements)

References 24 publications

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“…It is noteworthy that if

{scriptD}_{1} = {double-struckR}^{n}

, the obtained result holds globally. Remark 1 When the system is locally open‐loop stable, using the procedure presented in [24, 26] to estimate the domain of attraction based on Lyapunov's method, an estimate of the domain of attraction is the following set:

Ω_{1} = (}{, x \in {double-struckR}^{n} (|, V false(x false) \leq c_{1})),

where

c_{1} < \min_{x \in {scriptB}_{1}} V false(x false)

, in which

{scriptB}_{1}

is the set of all boundary points of the domain

{scriptD}_{1}

which can be given by

{scriptD}_{1} = (}{, x \in {double-struckR}^{n} (|, \frac{\partial V}{\partial x} f false(x false) \leq 0)) .

…”

Section: Saturated Passivity‐based Control Schemementioning

confidence: 99%

“…Remark 2 It can be easily shown that if the following condition holds:

\frac{\partial V}{\partial t} + \frac{\partial V}{\partial x} f false(x false) \leq \sum_{i = 1}^{p} \sum_{j = 1}^{n} {\overset{false¯}{a}}_{i} (||, \frac{\partial V}{\partial x_{j}} g_{j}^{i} false(x false)),

one can always find some

α_{i} false(t, x false), i = 1, \dots, p

such that the constraints of the optimisation problem (16) are satisfied. Therefore,

{scriptD}_{2}

is a domain in which the aforementioned condition holds, or equivalently

{scriptD}_{2} = (}{, x \in {double-struckR}^{n} (|, \frac{\partial V}{\partial t} + \frac{\partial V}{\partial x} f false(x false) \leq \sum_{i = 1}^{p} \sum_{j = 1}^{n} {\overset{false¯}{a}}_{i} (||, \frac{\partial V}{\partial x_{j}} g_{j}^{i} false(x false)))) .

Remark 3 When all parameters of the system are known and the system is subject to actuator saturation, using the procedure in [24, 26], and assuming that

V false(t, x false)

is a function of only the state variables, i.e.

V false(t, x false) = V false(x false)

, an estimate of the domain of attraction is the following set:

Ω_{2} = (}{, x \in {double-struckR}^{n} (|, V false(x false) \leq c_{2})),

where

…”

Section: Performance Enhancementmentioning

confidence: 99%

See 1 more Smart Citation

Robust adaptive passivity‐based control of open‐loop unstable affine non‐linear systems subject to actuator saturation

Hosseinzadeh

Yazdanpanah

2017

IET Control Theory & Applications

Self Cite

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“…It is noteworthy that if

{scriptD}_{1} = {double-struckR}^{n}

Ω_{1} = (}{, x \in {double-struckR}^{n} (|, V false(x false) \leq c_{1})),

where

c_{1} < \min_{x \in {scriptB}_{1}} V false(x false)

, in which

{scriptB}_{1}

is the set of all boundary points of the domain

{scriptD}_{1}

which can be given by

{scriptD}_{1} = (}{, x \in {double-struckR}^{n} (|, \frac{\partial V}{\partial x} f false(x false) \leq 0)) .

…”

Section: Saturated Passivity‐based Control Schemementioning

confidence: 99%

“…Remark 2 It can be easily shown that if the following condition holds:

\frac{\partial V}{\partial t} + \frac{\partial V}{\partial x} f false(x false) \leq \sum_{i = 1}^{p} \sum_{j = 1}^{n} {\overset{false¯}{a}}_{i} (||, \frac{\partial V}{\partial x_{j}} g_{j}^{i} false(x false)),

one can always find some

α_{i} false(t, x false), i = 1, \dots, p

such that the constraints of the optimisation problem (16) are satisfied. Therefore,

{scriptD}_{2}

is a domain in which the aforementioned condition holds, or equivalently

{scriptD}_{2} = (}{, x \in {double-struckR}^{n} (|, \frac{\partial V}{\partial t} + \frac{\partial V}{\partial x} f false(x false) \leq \sum_{i = 1}^{p} \sum_{j = 1}^{n} {\overset{false¯}{a}}_{i} (||, \frac{\partial V}{\partial x_{j}} g_{j}^{i} false(x false)))) .

Remark 3 When all parameters of the system are known and the system is subject to actuator saturation, using the procedure in [24, 26], and assuming that

V false(t, x false)

is a function of only the state variables, i.e.

V false(t, x false) = V false(x false)

, an estimate of the domain of attraction is the following set:

Ω_{2} = (}{, x \in {double-struckR}^{n} (|, V false(x false) \leq c_{2})),

where

…”

Section: Performance Enhancementmentioning

confidence: 99%

Robust adaptive passivity‐based control of open‐loop unstable affine non‐linear systems subject to actuator saturation

Hosseinzadeh

Yazdanpanah

2017

IET Control Theory & Applications

Self Cite

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“…To do so, a survey was used as a research strategy to measure the trend and relationships in the data and obtain a high response rate (Creswell, 2002). The survey was sent to ten academics and experts to check its content validity (Yaghmaei, 2003). The feedback suggested reducing the number of questions and simplifying some terminologies.…”

Section: Methodsmentioning

confidence: 99%

Exploring the influence of lean manufacturing and total quality management practices on environmental sustainability: the moderating role of quality culture

Jum’a

Alkalha

Mandil

et al. 2023

IJLSS

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Purpose Organizations have released the importance of lean manufacturing practices (LMPs) and total quality management (TQM) in enhancing competitiveness. However, the implementation of LMPs and TQM becomes more complex when discerning the environmental sustainability position. The complexity stems from the fact that LMPs and TQM are more intricate because of cultural differences. Thus, this study aims to tackle the aforementioned phenomenon by investigating the impact of LMPs and TQM on environmental sustainability moderated by quality culture. Design/methodology/approach A survey was distributed among small and medium enterprises (SMEs) in Jordan; thus, 315 valid responses were received. Partial least square structural equation modelling was used to analyze the data and test hypotheses. Findings The findings showed that environmental sustainability was significantly impacted by all the LMP practices except Kanban and all the TQM practices except statistical process control. Moreover, quality culture significantly and negatively moderated the relationship between TQM and environmental sustainability. However, the influence of LMPs on environmental sustainability was not significantly moderated by quality culture. Practical implications This study has implications for policymakers in SMEs, supply chain managers and academics regarding the importance of LMPs and TQM systems for implementing environmental sustainability and the role of quality culture. Social implications This study provides guidelines for decision-makers on the pathways that enable them to sustain the environment to safeguard the natural ecosystem and natural resources for upcoming generations. Originality/value The originality of this study stems from the alignment of LMPs and TQM in enhancing environmental sustainability, taking into consideration the role of quality culture in SMEs, where previous studies failed short to investigate this phenomenon.

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“…[ 16 ] It is also known as content-related validity, representative validity, and logical or sampling validity. [ 17 ] Face validity is defined as to researchers” subjective assessment of the presentation and relevance of measuring instrument as whether the item in the instrument appears to the relevant, reasonable, and clear. ''[ 18 ] The MRS was designed to assess the menopausal symptoms and HRQoL and is considered an accurate outcome measure.…”

Section: Introductionmentioning

confidence: 99%

Translation, reliability, and validity test of Gujarati version of menopause rating scale in postmenopausal women for menopause-related symptoms

Ajani

Nimavat

Vidja

et al. 2021

Indian J Community Med

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Background: Women's health has been a global concern for many decades. As menopause is midway between the challenges of adulthood and despair of old age, comes the changes of menopause in women. The menopause rating scale (MRS) is widely used to assess menopause-related symptoms. The MRS was first published in 1990 for assessing menopause symptoms. However, no reliable and valid tools are available in the Gujarati language to assess the individuals with menopause symptoms. Aim: The aim of the study was to translate and find out reliability and validity of the Gujarati version of MRS in postmenopausal women. Methods: The study was carried out in three phases: The first phase was the translation of scale into the Gujarati language; the second phase was a pilot study on 30 postmenopausal women age assesses the comprehensibility of the prefinal version; and the third phase was to find out the reliability and validity of the final version of scale. Results: The total value of intraclass correlation coefficient of test–retest reliability was 0.88, with the all items having individual intraclass correlation coefficients score ranging from 0.74 to 0.92. Reliability estimated by internal consistency reached a Cronbach's alpha of 0.94 and ranging from 0.85 to 0.95 test–retest. Conclusion: The Gujarati version of MRS is a reliable and valid tool for assessing the menopausal symptoms and health-related quality of life in Guajarati-speaking populations.

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Padé-like approximation and its application in domain of attraction estimation

Cited by 6 publications

References 24 publications

Robust adaptive passivity‐based control of open‐loop unstable affine non‐linear systems subject to actuator saturation

Robust adaptive passivity‐based control of open‐loop unstable affine non‐linear systems subject to actuator saturation

Exploring the influence of lean manufacturing and total quality management practices on environmental sustainability: the moderating role of quality culture

Translation, reliability, and validity test of Gujarati version of menopause rating scale in postmenopausal women for menopause-related symptoms

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