scholarly journals Further Stability Analysis on Neutral Systems with Actuator Saturation and Time-Delays

2014 ◽  
Vol 2014 ◽  
pp. 1-13
Author(s):  
Xinghua Liu
Keyword(s):  
Stability Analysis ◽  
Asymptotic Stability ◽  
Time Delays ◽  
Actuator Saturation ◽  
Lyapunov Theory ◽  
Neutral System ◽  
Neutral Systems ◽  
Saturating Actuators ◽  
New Type ◽  
Delay Dependent

This paper is concerned with the asymptotic stability analysis for a class of neutral systems with time-delay and saturating actuators, which is further to reduce the conservatism of neutral system. Based on the model transformation and the delay-dividing approach, a new type of augmented Lyapunov functional is constructed, which has fully exploited the information on the lower bound of the delay. Then the delay-dependent conditions for asymptotic stability are derived by applying some integral inequalities and Lyapunov theory. Finally, numerical examples are provided to show that the proposed results significantly improve the allowed upper bounds of the delay size over some existing ones in the literature.

scholarly journals A Novel Delay-Dependent Asymptotic Stability Conditions for Differential and Riemann-Liouville Fractional Differential Neutral Systems with Constant Delays and Nonlinear Perturbation

Mathematics ◽  
2020 ◽  
Vol 8 (1) ◽  
pp. 82 ◽  
Author(s):  
Watcharin Chartbupapan ◽  
Ovidiu Bagdasar ◽  
Kanit Mukdasai
Keyword(s):  
Asymptotic Stability ◽  
Stability Criterion ◽  
Nonlinear Perturbation ◽  
Linear Matrix ◽  
Neutral System ◽  
The Novel ◽  
Neutral Systems ◽  
Fractional Differential ◽  
Delay Dependent ◽  
Single Constant

The novel delay-dependent asymptotic stability of a differential and Riemann-Liouville fractional differential neutral system with constant delays and nonlinear perturbation is studied. We describe the new asymptotic stability criterion in the form of linear matrix inequalities (LMIs), using the application of zero equations, model transformation and other inequalities. Then we show the new delay-dependent asymptotic stability criterion of a differential and Riemann-Liouville fractional differential neutral system with constant delays. Furthermore, we not only present the improved delay-dependent asymptotic stability criterion of a differential and Riemann-Liouville fractional differential neutral system with single constant delay but also the new delay-dependent asymptotic stability criterion of a differential and Riemann-Liouville fractional differential neutral equation with constant delays. Numerical examples are exploited to represent the improvement and capability of results over another research as compared with the least upper bounds of delay and nonlinear perturbation.

scholarly journals Stability analysis of linear neutral systems with multiple time delays

2005 ◽  
Vol 2005 (2) ◽  
pp. 175-183 ◽  
Author(s):  
Keyue Zhang
Keyword(s):  
Stability Analysis ◽  
Asymptotic Stability ◽  
Spectral Radius ◽  
Time Delays ◽  
Multiple Time ◽  
Stability Criteria ◽  
Neutral Systems ◽  
Numerical Examples ◽  
Multiple Time Delays ◽  
New Criteria

This paper studies the asymptotic stability of linear neutral systems with multiple time delays. Using the characteristic equation of the system, new delay-independent stability criteria are derived in terms of the spectral radius of modulus matrices. Numerical examples are given to demonstrate the validity of our new criteria.

scholarly journals Stability analysis of linear conformable fractional differential equations system with time delays

2019 ◽  
Vol 38 (6) ◽  
pp. 159-171 ◽  
Author(s):  
Vahid Mohammadnezhad ◽  
Mostafa Eslami ◽  
Hadi Rezazadeh
Keyword(s):  
Stability Analysis ◽  
Asymptotic Stability ◽  
Differential Equations ◽  
Laplace Transform ◽  
Fractional Differential Equations ◽  
Time Delays ◽  
Sufficient Conditions ◽  
Euler’S Method ◽  
Fractional Differential ◽  
Theoretical Results

In this paper, we first study stability analysis of linear conformable fractional differential equations system with time delays. Some sufficient conditions on the asymptotic stability for these systems are proposed by using properties of the fractional Laplace transform and fractional version of final value theorem. Then, we employ conformable Euler’s method to solve conformable fractional differential equations system with time delays to illustrate the effectiveness of our theoretical results

scholarly journals Delay dependent stability analysis of Takagi-Sugeno fuzzy time-delays system

2019 ◽  
Vol 3 (1/2/3) ◽  
pp. 150
Author(s):  
Hadil Soltani ◽  
Rafika El Harabi ◽  
Saloua Bel Hadj Ali ◽  
Abdel Aitouche ◽  
Mohamed Naceur Abdelkrim
Keyword(s):  
Stability Analysis ◽  
Time Delays ◽  
Delay Dependent ◽  
Takagi Sugeno ◽  
Delay Dependent Stability
Sign in / Sign up

Export Citation Format

Share Document