## Delay-dependent stability and $$H_\infty$$ control: Constant and time-varying delays.(English)Zbl 1023.93032

Stability and control problems are considered for systems of the form $\dot x=A_0 x(t)+A_1 x(t-\tau)$ in conjunction with a quadratic Lyapunov functional. Several (four) transformations are used in order to obtain delay-dependent stability via linear matrix inequalities. The cases of time-varying and several delays are also considered.

### MSC:

 93C23 Control/observation systems governed by functional-differential equations 93B36 $$H^\infty$$-control 34K17 Transformation and reduction of functional-differential equations and systems, normal forms
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### References:

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