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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
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