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Zbl 0889.93050
Li, Xi; de Souza, Carlos E.
(Souza, Carlos E. de)
Delay-dependent robust stability and stabilization of uncertain linear delay systems: A linear matrix inequality approach. (English)
[J] IEEE Trans. Autom. Control 42, No.8, 1144-1148 (1997). ISSN 0018-9286

This paper considers the problems of robust stability and robust control design for the following uncertain linear systems with delay: $$\cases \dot x(t) &=\bigl[A + \Delta A(t)\bigr] x(t)+ [Ad+\Delta Ad] x(t-\tau) \\ & +\bigl[B +\Delta B(t) \bigr] u(t) \\ x(t) &= \varphi(t), \quad t\in [-\tau,0]. \endcases$$ Some methods are developed based on linear matrix inequalities and depending on the size of the time delay.
[Li Yuanqing (Guangzhou)]

MSC 2000:: *93D21 Adaptive and robust stabilization
34K20 Stability theory of functional-differential equations
93D09 Robust stability of control systems

Keywords: robust stabilization; robust stability; uncertain linear systems with delay; linear matrix inequalities

Cited in: Zbl 1018.34069

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