Robust Stability of a Class of Uncertain Lur'e Systems of Neutral Type | Zendy

Wajaree Weera | Zendy; Piyapong Niamsup | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Robust Stability of a Class of Uncertain Lur'e Systems of Neutral Type

Author(s) -

Wajaree Weera,

Piyapong Niamsup

Publication year - 2012

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2012/961382

Subject(s) - mathematics , interval (graph theory) , stability (learning theory) , differentiable function , class (philosophy) , bounded function , type (biology) , nonlinear system , set (abstract data type) , lyapunov function , dynamical systems theory , exponential stability , control theory (sociology) , mathematical analysis , control (management) , computer science , ecology , physics , combinatorics , quantum mechanics , machine learning , artificial intelligence , biology , programming language

This paper deals with the problem of stability for a class of Lur’e systems with interval time-varying delay and sector-bounded nonlinearity. The interval time-varying delay function is not assumed to be differentiable. We analyze the global exponential stability for uncertain neutral and Lur’e dynamical systems with some sector conditions. By constructing a set of improved Lyapunov-Krasovskii functional combined with Leibniz-Newton’s formula, we establish some stability criteria in terms of linear matrix inequalities. Numerical examples are given to illustrate the effectiveness of the results

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research