Asymptotical stability analysis of Riemann-Liouville q-fractional neutral systems with mixed delays

Wengui Yang; Ahmed Alsaedi; Tasawar Hayat; Habib M. Fardoun

doi:10.1002/mma.5700

Asymptotical stability analysis of Riemann-Liouville q-fractional neutral systems with mixed delays

Wengui Yang
, Ahmed Alsaedi
, Tasawar Hayat
, Habib M. Fardoun

Southeast University, Nanjing
Sanmenxia Polytechnic
Faculty of Sciences, King Abdulaziz University
Quaid-I-Azam University
Faculty of Computing and Information Technology, King Abdulaziz University

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

This paper investigates the asymptotical stability of Riemann-Liouville q-fractional neutral systems with mixed delays (constant time delay and distributed delay). By constructing some appropriate Lyapunov-Kravsovskii functionals, some sufficient conditions on delay-dependent and delay-independent asymptotical stability are obtained in terms of linear matrix inequality (LMI). Our employed method is based on the direct calculation of quantum derivatives of the Lyapunov-Kravsovskii functionals. Finally, two examples are presented to demonstrate the availability of our obtained results.

Original language	English
Pages (from-to)	4876-4888
Number of pages	13
Journal	Mathematical Methods in the Applied Sciences
Volume	42
Issue number	14
DOIs	https://doi.org/10.1002/mma.5700
State	Published - 30 Sep 2019
Externally published	Yes

Keywords

Lyapunov-Kravsovskii functional approach
Riemann-Liouville q-derivative
asymptotical stability
q-fractional neutral systems

Access to Document

10.1002/mma.5700

Cite this

@article{e4be7f4fc5114d109d739b77bf4b5c29,

title = "Asymptotical stability analysis of Riemann-Liouville q-fractional neutral systems with mixed delays",

abstract = "This paper investigates the asymptotical stability of Riemann-Liouville q-fractional neutral systems with mixed delays (constant time delay and distributed delay). By constructing some appropriate Lyapunov-Kravsovskii functionals, some sufficient conditions on delay-dependent and delay-independent asymptotical stability are obtained in terms of linear matrix inequality (LMI). Our employed method is based on the direct calculation of quantum derivatives of the Lyapunov-Kravsovskii functionals. Finally, two examples are presented to demonstrate the availability of our obtained results.",

keywords = "Lyapunov-Kravsovskii functional approach, Riemann-Liouville q-derivative, asymptotical stability, q-fractional neutral systems",

author = "Wengui Yang and Ahmed Alsaedi and Tasawar Hayat and Fardoun, \{Habib M.\}",

note = "Publisher Copyright: {\textcopyright} 2019 John Wiley \& Sons, Ltd.",

year = "2019",

month = sep,

day = "30",

doi = "10.1002/mma.5700",

language = "English",

volume = "42",

pages = "4876--4888",

journal = "Mathematical Methods in the Applied Sciences",

issn = "0170-4214",

publisher = "John Wiley and Sons Ltd",

number = "14",

}

TY - JOUR

T1 - Asymptotical stability analysis of Riemann-Liouville q-fractional neutral systems with mixed delays

AU - Yang, Wengui

AU - Alsaedi, Ahmed

AU - Hayat, Tasawar

AU - Fardoun, Habib M.

PY - 2019/9/30

Y1 - 2019/9/30

N2 - This paper investigates the asymptotical stability of Riemann-Liouville q-fractional neutral systems with mixed delays (constant time delay and distributed delay). By constructing some appropriate Lyapunov-Kravsovskii functionals, some sufficient conditions on delay-dependent and delay-independent asymptotical stability are obtained in terms of linear matrix inequality (LMI). Our employed method is based on the direct calculation of quantum derivatives of the Lyapunov-Kravsovskii functionals. Finally, two examples are presented to demonstrate the availability of our obtained results.

AB - This paper investigates the asymptotical stability of Riemann-Liouville q-fractional neutral systems with mixed delays (constant time delay and distributed delay). By constructing some appropriate Lyapunov-Kravsovskii functionals, some sufficient conditions on delay-dependent and delay-independent asymptotical stability are obtained in terms of linear matrix inequality (LMI). Our employed method is based on the direct calculation of quantum derivatives of the Lyapunov-Kravsovskii functionals. Finally, two examples are presented to demonstrate the availability of our obtained results.

KW - Lyapunov-Kravsovskii functional approach

KW - Riemann-Liouville q-derivative

KW - asymptotical stability

KW - q-fractional neutral systems

UR - https://www.scopus.com/pages/publications/85067667606

U2 - 10.1002/mma.5700

DO - 10.1002/mma.5700

M3 - Article

AN - SCOPUS:85067667606

SN - 0170-4214

VL - 42

SP - 4876

EP - 4888

JO - Mathematical Methods in the Applied Sciences

JF - Mathematical Methods in the Applied Sciences

IS - 14

ER -

Asymptotical stability analysis of Riemann-Liouville q-fractional neutral systems with mixed delays

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this