Exponential Stability Analysis for Delay-Differential Systems of Neutral Type with an LMI Approach

Document Type : Original Article

Authors

Veerakyathaiah Umesha ¹

Spirangaiah Padmanabhan ²

P. Baskar ³

Muhammad Syed Ali ⁴

¹ Department of Mathematics, Dayananda sagar college of Engineering, Kumaraswamy layout, Bangalore, Karnataka, India.

² Department of Mathematics, R N S I T, Uttarahalli-Kengeri Road, Bangalore, Karnataka, India.

³ Department of Mathematics, New Horizon college of Engineering, Bangalore, Karnataka, India.

⁴ Department of Pure Mathematics, Thiruvalluvar University, Vellore 632- 115, Tamilnadu, India.

10.22034/kjm.2018.73499

Abstract

In this paper for neutral delay differential systems, the problem of determining the exponential stability is investigated. Based on the Lyapunov method, we present some useful criteria of exponential stability for the derived systems. The stability criterion is formulated in terms of linear matrix inequality (LMI),which can be easily solved by using the MATLAB LMI toolbox. Numerical examples are included to illustrate the proposed method.

Keywords

Neutral system

exponential stability

Lyapunov method

linear matrix inequality (LMI)

Subjects

• 34 Ordinary differential equations
• 37 Dynamical systems and ergodic theory
• 93 Systems theory, control

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