A new model transformation method and its application to extending a class of stability criteria of neutral type systems
type: Item
instance of: scholarly article
title: A new model transformation method and its application to extending a class of stability criteria of neutral type systems
zbMATH Open document ID: 1207.34098
author: Quan Quan
author: Dedong Yang
author: Hai Hu
author: Kaiyuan Cai
published in: Nonlinear Analysis. Real World Applications
publication date: 2010-10-14T00:00:00Z
review text: The authors consider the neutral type system \[ 0=F(A_0,A_1,x,\dot{x},t) \] with the initial condition \(x(t)=\phi(t),\;\;t\in[-\tau,0]\). The main contributions of the paper are: (1) a new model transformation method is proposed; (2) based on this transformation method, the paper extends a class of existing stability criteria; (3) procedures to solve a class of nonlinear matrix inequalities are proposed. Two illustrative examples indicate that the extended stability criteria have feasible solutions when the corresponding original criteria are not applicable.
Mathematics Subject Classification ID: 34K32
Mathematics Subject Classification ID: 34K40
Mathematics Subject Classification ID: 34K20
zbMATH DE Number: 5800008
zbMATH Keywords: model transformation
zbMATH Keywords: neutral type system
zbMATH Keywords: nonlinear matrix inequality
zbMATH Keywords: optimization
reviewed by: Jan Ohriska
MaRDI profile type: Publication
full work available at URL: j.nonrwa.2010.02.005
OpenAlex ID: W1986193277
cites work: Delay effects on stability. A robust control approach
cites work: New Lyapunov-Krasovskii functionals for stability of linear retarded and neutral type systems
cites work: Delay-dependent stability and H ∞ control: Constant and time-varying delays
cites work: Methods for linear systems of circuit delay differential equations of neutral type
cites work: Time-delay systems: an overview of some recent advances and open problems.
cites work: Stability and the matrix Lyapunov equation for delay differential systems
cites work: Control systems theory and applications for linear repetitive processes.
cites work: On robustly exponential stability of uncertain neutral systems with time-varying delays and nonlinear perturbations
cites work: Delay-dependent robust stability criteria for uncertain neutral systems with mixed delays
cites work: New Delay-Dependent Stability Criteria and Stabilizing Method for Neutral Systems
cites work: Numerical Optimization
cites work: Linear Matrix Inequalities in System and Control Theory
DOI: 10.1016/J.NONRWA.2010.02.005
Recommended article: A Type-Theoretic Framework for Certified Model Transformations
Recommended article: On a class of strongly stabilizable systems of neutral type
Recommended article: Q3552457
Recommended article: Extending and implementing the stable model semantics
Recommended article: On delay-dependent stability under model transformations of some neutral linear systems
Recommended article: Q5562854
Recommended article: On the Specification and Verification of Model Transformations
description: scientific article; zbMATH DE number 5800008