## Robust analysis and synthesis of linear time-delay systems with norm-bounded time-varying uncertainty.(English)Zbl 0875.93110

Summary: The problems of robust analysis and synthesis of systems with state-delay and norm-bounded time-varying parameter uncertainty are studied. It is shown that these problems are equivalent to the $$H_{\infty}$$ analysis and synthesis problems of an auxiliary system, which is independent of the time-delay and the uncertainty in the system. The necessary and sufficient conditions for the equivalence are developed. Thus any standard $$H_{\infty}$$ analysis and synthesis method can be used to solve this problem.

### MSC:

 93B36 $$H^\infty$$-control 34K35 Control problems for functional-differential equations

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### References:

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