TAILIEUCHUNG - Global exponential stability of switched neutral systems with time varying delays

This paper deals with the problem of global exponential stability for a class of switched neutral systems with time-varying delays. Based on improved Lyapunov-Krasovskii functional method combined with the Leibniz-Newton formula, linear matrix inequalities (LMIs) conditions are proposed for the exponential stability of the considered systems under arbitrary switching signal. A numerical example showing the effectiveness of our conditions is given. | JOURNAL OF SCIENCE OF HNUE Mathematical and Physical Sci. 2012 Vol. 57 No. 7 pp. 3-11 This paper is available online at http GLOBAL EXPONENTIAL STABILITY OF SWITCHED NEUTRAL SYSTEMS WITH TIME-VARYING DELAYS Le Van Hien Faculty of Mathematics Hanoi National University of Education Abstract. This paper deals with the problem of global exponential stability for a class of switched neutral systems with time-varying delays. Based on improved Lyapunov-Krasovskii functional method combined with the Leibniz-Newton formula linear matrix inequalities LMIs conditions are proposed for the exponential stability of the considered systems under arbitrary switching signal. A numerical example showing the effectiveness of our conditions is given. Keywords Switched systems time-varying delay exponential stability linear matrix inequalities. 1. Introduction Switching systems belong to an important class of hybrid systems which are described by a family of differential equations together with specified rules to switch between them. Switching systems arise in many practical processes that cannot be described by exclusively continuous or exclusively discrete models such as manufacturing communication networks automotive engineering control and chemical processes 7 8 10 . Recently the problem of stability analysis and control design for switched systems as well as the stability problem of uncertain linear time-delay systems and applications to control theory has attracted a lot of attention see 1-7 and the references therein . The main approach for stability analysis relies on the use of Lyapunov-Krasovskii functionals and linear matrix inequalities LMIs for constructing suitable Lyapunov-Krasovskii functionals. Although some important results have been obtained for linear switched systems there are few results concerning the exponential stability of switched neutral systems with time-varying delays. In 12 the problem of globally quadratic stabilization for a class of .

• Hoá học
• Switched systems
• Time varying delay
• Exponential stability
• Linear matrix inequalities
• Leibniz Newton formula
• Stability analysis of switched multiple nonlinear discrete systems
• Switched multiple nonlinear discrete systems
• Interval time varying delays
• The Lyapunov functional
• DC – DC converter
• Switched system
• Robust control
• Autonomous switched systems
• Robust technique control
• AC DC power converters
• VNU Journal of Science
• Arbitrarily switched discrete time linear singular systems of index 1
• Discrete time linear singular systems
• Linear discrete time singular system
• The index 1 notion
• Positive linear systems
• Positive stable system
• Robust stability
• Stability radii
• Switched linear systems
• Cisco Systems
• Network Devices
• computer
• businesses
• technology operational
• Cisco IOS
• Extending switched networks
• VLANs
• Bài viết nghiên cứu khoa học
• Large scale switched fuzzy system
• Decentralized non PDC controllers
• Arbitrary switching laws
• Outputfeedback controllers
• Takagi Sugeno fuzzy subsystems
• Robust Adaptive Control
• Effect of Switchover Time
• Cyclically Switched Systems
• RAS Modeling
• Large InfiniBand
• báo cáo hóa học
• công trình nghiên cứu về hóa học
• tài liệu về hóa học
• cách trình bày báo cáo
• OFDM Wireless Systems
• Time Division Multiple Access
• Multiple Access Techniques
• Packet Switched Air Interface
• Generic OFDM Transmitter
• Phy Layer Issues
• Guide to Networks
• Network operating systems
• WAN essentials
• WAN topologies
• Public Switched Telephone Network
• Frame relay
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