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The stability for a class of linear neutral systems with time-varying delays is studied in this paper, where delay in neutral-type term includes a fast-varying case(i.e., the derivative of delay is more than one), which has never been considered in current literature.The less conservative delaydependent stability criteria for this system are proposed by applying new Lyapunov-Krasovskii functional and novel polynomials with time-varying delay(PTVD) compensation technique.The aim to deal with systems with fast-varying neutral-type delay can be achieved by using the new functional.The benefit brought by applying the PTVD compensation technique is that some useful elements can be included in criteria, which are generally ignored when estimating the upper bound of derivative of Lyapunov-Krasovskii functional.A numerical example is provided to verify the effectiveness of the proposed results.
The stability for a class of linear neutral systems with time-varying delays is studied in this paper, where delay in neutral-type terms includes a fast-varying case (ie, the derivative of delay is more than one), which has never been considered in current literature. less conservative delaydependent stability criteria for this system were proposed by applying new Lyapunov-Krasovskii functional and novel polynomials with time-varying delay (PTVD) compensation technique. The aim to deal with systems with fast-varying neutral- type delay can be achieved by using the new functional. benefit can be included by using the new function. that utility utility by the PTVD compensation technique that that useful element can be included in criteria, which are generally ignored when estimating the upper bound of derivative of Lyapunov-Krasovskii functional. is provided to verify the effectiveness of the proposed results.