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On delay-dependent stability under model transformations of some neutral linear systems. (English) Zbl 1047.34088
The neutral delay equation \[ {d\over dt} [x(t)- Cx(t- \tau_1)]= Ax(t)+ Bx(t- \tau_2) \] is studied and a model transformation approach is used to obtain delay-dependent and delay-independent stability conditions for all delay parameters \(\tau_1\), \(\tau_2\). Lyapunov-Krasovskij functionals are used, together with linear matrix inequalities.

MSC:
34K20 Stability theory of functional-differential equations
34K40 Neutral functional-differential equations
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