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Delay-independent stability of linear neutral systems: A Riccati equation approach. (English) Zbl 0923.93049
Dugard, Luc (ed.) et al., Stability and control of time-delay systems. Berlin: Springer. Lect. Notes Control Inf. Sci. 228, 92-100 (1998).
In a Euclidean space, the system $\dot x-C \dot x(t-\tau)= Ax(t)+Bx(t-\tau)$ is considered. Here $$A, B, C$$ are constant matrices. The delay $$\tau$$ is assumed to be unknown. Sufficient conditions for delay-independent asymptotic stability are given in terms of the existence of symmetric and positive definite solutions to a continuous Riccati algebraic matrix equation coupled with a discrete Lyapunov equation.
For the entire collection see [Zbl 0901.00019].

##### MSC:
 93D20 Asymptotic stability in control theory 34K20 Stability theory of functional-differential equations