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Stability analysis for continuous systems with two additive time-varying delay components. (English) Zbl 1120.93362
Syst. Control Lett. 56, No. 1, 16-24 (2007); corrigendum 56, No. 9-10, 662 (2007).
Summary: This paper presents a new result of stability analysis for continuous systems with two additive time-varying delay components, which represent a general class of delay systems with strong application background in network based control systems. This criterion is expressed as a set of linear matrix inequalities, which can be readily tested by using standard numerical software. A numerical example is provided to show the effectiveness and advantage of the proposed stability condition.
The Corrigendum gives the correct form of the matrix \(A\) in the illustrative example.

MSC:
93D30 Lyapunov and storage functions
34K20 Stability theory of functional-differential equations
93D05 Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory
93C15 Control/observation systems governed by ordinary differential equations
93C05 Linear systems in control theory
93A15 Large-scale systems
Software:
LMI toolbox
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References:
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