Stability analysis for continuous system with additive time-varying delays: a less conservative result.

*(English)*Zbl 1190.34089Summary: This paper presents a less conservative result for stability analysis of continuous-time systems with additive delays by constructing a new Lyapunov-Krasovskii functional and utilizing free matrix variables in approximating certain integral quadratic terms in obtaining the stability condition in terms of linear matrix inequalities. Numerical example is provided to show the effectiveness of the proposed method compared to some recent results.

##### MSC:

34K20 | Stability theory of functional-differential equations |

##### Keywords:

multiple additive time-delays; delay-dependent stability; Lyapunov-Krasovskii functional; linear matrix inequality (LMI)##### Software:

LMI toolbox
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\textit{R. Dey} et al., Appl. Math. Comput. 215, No. 10, 3740--3745 (2010; Zbl 1190.34089)

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##### References:

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