Singular Control Systems
Stability of Time-Delay Systems
Stability of Time-Delay Systems
A new delay system approach to network-based control
Automatica (Journal of IFAC)
Technical communique: Reciprocally convex approach to stability of systems with time-varying delays
Automatica (Journal of IFAC)
International Journal of Automation and Computing
Absolute stability of nonlinear systems with two additive time-varying delay components
International Journal of Automation and Computing
International Journal of Automation and Computing
IEEE Transactions on Neural Networks
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The problem of stability for singular systems with two additive time-varying delay components is investigated. By constructing a simple type of Lyapunov-Krasovskii functional and utilizing free matrix variables in approximating certain integral quadratic terms, a delay-dependent stability criterion is established for the considered systems to be regular, impulse free, and stable in terms of linear matrix inequalities (LMIs). Based on this criterion, some new stability conditions for singular systems with a single delay in a range and regular systems with two additive time-varying delay components are proposed. These developed results have advantages over some previous ones in that they have fewer matrix variables yet less conservatism. Finally, two numerical examples are employed to illustrate the effectiveness of the obtained theoretical results.