Delay-Dependent Robust Stability Analysis for Uncertain Nonlinear Systems

Jing Song; Kun Qiu

doi:10.4028/www.scientific.net/AMR.591-593.577

Paper Titles

The Simulation and Study of Buffer Device of Hydraulic Cylinder
p.561

Numerical Simulation on Diffusion Wear of Diamond Tool in Cutting of Ferrous Metals
p.565

Finite Element Analysis on Convexity for Tapered Roller with Arc-Line Modification Profile
p.569

5-Axis Virtual Machining Technology Research on Integral Impeller under PROE and Vericut Environment
p.573

Delay-Dependent Robust Stability Analysis for Uncertain Nonlinear Systems
p.577

An Approach to Determine Clamping Forces and Clamping Sequence of Thin-Walled Workpiece during Milling Process
p.580

Application of Error Analysis Method in the Complex Vehicle Model
p.584

Temperature Field Simulation of Ballscrew Whirlwind Milling
p.588

Study on Engine Characteristic Curves Drawing Method Based on BP Neural Network
p.593

HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 591-593Delay-Dependent Robust Stability Analysis for...

Delay-Dependent Robust Stability Analysis for Uncertain Nonlinear Systems

Abstract:

As a popular topic, robust stability for uncertain systems with time delay have been widely studied in various engineering, biological, economical, electronic and dynamical systems, nerve network and so on. Recently, many researchers have paid a lot of attentions on the problem of robust stability for uncertain nonlinear systems with time delay. In this paper, a type of uncertain nonlinear delay systems has been considered in robust stability analysis. A novel robust stability criterion of the system is derived by using Lyapunov method and quadratic stability theory. A new upper bound with high-level infinite small on time delay based on Hariwity matrix and a solvable algebraic Riccati equation is presented. The main results are as follows: Through Lyapunov function and a solvable algebraic Riccati equation, we obtain the criterion of robust stability (exponential stability) for uncertain nonlinear systems with time delay.