Robust stability analysis and stabilisation of uncertain neutral singular systems

Wang, Jichun; Zhang, Qingling; Xiao, Dong; Bai, Fang

doi:10.1080/00207721.2015.1120905

Cited by 22 publications

(21 citation statements)

References 23 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Therefore, for uncertain STDSs, the investigation of robust stability is imperative. Exploring the literature, some recent results on robust stability results have been documented in previous papers [5–14].…”

Section: Introductionmentioning

confidence: 99%

Stability analysis for singular random impulsive control system: A novel neutral impulsive delay system approach

Senthilkumar

Vinodkumar

2023

Math Methods in App Sciences

View full text Add to dashboard Cite

The paper studies stability analysis for an uncertain singular time varying delay system (USTDS) under random impulsive control (RIC). It also proves the stability results for a singular impulsive time delay system in terms of neutral impulsive time delay system approach. Besides, we derive the new sufficient conditions for stability results like exponential stability (ES) and robust exponential stability (RES) of the proposed system via linear matrix inequality (LMI) by employing the Lyapunov–Krasovskii functional (LKF) approach. In addition, two numerical examples, along with graphical simulations, are provided to illustrate the validity and effectiveness of the proposed results.

show abstract

Section: Introductionmentioning

confidence: 99%

Stability analysis for singular random impulsive control system: A novel neutral impulsive delay system approach

Senthilkumar

Vinodkumar

2023

Math Methods in App Sciences

View full text Add to dashboard Cite

show abstract

“…Differential equations with interval coefficients arise also when stability problems are examined. We naturally encounter with the robust (or interval) stability concept when we study real‐life problems in control theory . A system is called robust (interval absolutely stable), if it is absolutely stable for each matrix, the elements of which lie in the specified intervals .…”

Section: Introductionmentioning

confidence: 99%

On differential equations with interval coefficients

Gasılov

Amrahov

2019

Math Methods in App Sciences

View full text Add to dashboard Cite

In this study, a new approach is developed to solve the initial value problem for interval linear differential equations. In the considered problem, the coefficients and the initial values are constant intervals. In the developed approach, there is no need to define a derivative for interval-valued functions. All derivatives used in the approach are classical derivatives of real functions. The reason for this is that the solution of the problem is defined as a bunch of real functions. Such a solution concept is compatible also with the robust stability concept.Sufficient conditions are provided for the solution to be expressed analytically. In addition, on a numerical example, the solution obtained by the proposed approach is compared with the solution obtained by the generalized Hukuhara differentiability. It is shown that the proposed approach gives a new type of solution. The main advantage of the proposed approach is that the solution to the considered interval initial value problem exists and is unique, as in the real case. KEYWORDSbunch of functions, interval differential equations, linear differential equations MSC CLASSIFICATION34A12; 65L05; 03E75; 68W25

show abstract

“…On the other hand, neutral switched systems have played an important role in various areas of engineering applications. Therefore, the study on neutral systems has attracted a lot of research attention, and many application results have been reported in the literature, see for example ([6]- [9]) and the references therein.…”

Section: Introductionmentioning

confidence: 99%

Finite-Time Extended Dissipative Based Optimal Guaranteed Cost Resilient Control for Switched Neutral Systems With Stochastic Actuator Failures

Zhu

Saravanakumar

Gomathi³

et al. 2019

IEEE Access

View full text Add to dashboard Cite

This work is devoted to the results of extended dissipative based on finite-time resilient guaranteed cost control of switched neutral time-delayed system subject to mismatched uncertainties and stochastic actuator failures. Particularly, a new novel actuator fault is implemented by considering that the actuator fault follows a certain probabilistic distribution. The proper guaranteed cost function is chosen to achieve an adequate level of performance. Moreover, the extended dissipative inequality includes some well-known weighting matrices such as H ∞ performance, L 2 − L ∞ performance, passivity case, mixed H ∞ and passivity case, and dissipativity performance, respectively. The main aim of this work is to model a resilient guaranteed cost sampled-data controller such that the proposed system is finite-time stable and satisfies the finite-time extended dissipative performance index. Under the Lyapunov stability theory and proper Lyapunov-Krasovskii functional (LKF) together with Writinger-based integral inequality, a new set of delay-dependent sufficient conditions is obtained to ensure the finite-time stability of the switched neutral system. Moreover, the obtained finite-time sufficient conditions are derived in the form of linear matrix inequalities (LMIs), which can be determined via Matlab LMI software. At last, the examples are exploited to show the effectiveness of the considered design procedures.INDEX TERMS Switched neutral system, fault-tolerant sampled-data control, finite-time extended dissipative, optimal guaranteed cost resilient control, stochastic actuator failures.

show abstract

Robust stability analysis and stabilisation of uncertain neutral singular systems

Cited by 22 publications

References 23 publications

Stability analysis for singular random impulsive control system: A novel neutral impulsive delay system approach

Stability analysis for singular random impulsive control system: A novel neutral impulsive delay system approach

On differential equations with interval coefficients

Finite-Time Extended Dissipative Based Optimal Guaranteed Cost Resilient Control for Switched Neutral Systems With Stochastic Actuator Failures

Contact Info

Product

Resources

About