Passivity analysis for Markovian jumping neutral type neural networks with leakage and mode-dependent delay

Author:

Mala Natarajan1,Vinodkumar Arumugam2,Alzabut Jehad34

Affiliation:

1. Department of Mathematics, Kovai Kalaimagal College of Arts and Science, Coimbatore-641 109, Tamil Nadu, India

2. Department of Mathematics, Amrita School of Physical Sciences, Coimbatore, Amrita Vishwa Vidyapeetham, India

3. Department of Mathematics and Sciences, Prince Sultan University, 11586 Riyadh, Saudi Arabia

4. Department of Industrial Engineering, OSTİM Technical University, Ankara 06374, Turkey

Abstract

<abstract> <p>In this study, we discuss the passivity analysis for Markovian jumping Neural Networks of neural-type. The results are demonstrated using phases of linear matrix inequalities as well as an improved Lyapunov-Krasovskii functional (LKF) of the triple integral terms and quadruple integrals. The information of the mode-dependent of all delays have been taken into account in the constructed Lyapunov–Krasovskii functional and novel stability criterion is derived. The value of selecting as many Lyapunov matrices that are mode-dependent as possible is demonstrated. The effectiveness and decreased conservatism of the aforementioned theoretical results are eventually demonstrated by a numerical example.</p> </abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Molecular Biology,Biochemistry,Structural Biology,Biophysics

Reference61 articles.

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