Abstract
This chapter focuses on the problem of asymptotic stability of a class of linear neutral systems described by differential equations with delayed state. The delay is assumed unknown, but constant. Sufficient conditions for delay-independent asymptotic stability are given in terms of the existence of symmetric and positive definite solutions of a continuous Riccati algebraic matrix equation coupled with a discrete Lyapunov equation.
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Verriest, E.I., Niculescu, SI. (1998). Delay-independent stability of linear neutral systems: A riccati equation approach. In: Dugard, L., Verriest, E.I. (eds) Stability and Control of Time-delay Systems. Lecture Notes in Control and Information Sciences, vol 228. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0027481
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DOI: https://doi.org/10.1007/BFb0027481
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