Han, Qing-Long Robust stability of uncertain delay-differential systems of neutral type. (English) Zbl 1020.93016 Automatica 38, No. 4, 719-723 (2002). A delay-dependent stability criterion for linear neutral delay-differential systems with norm-bounded uncertainty is formulated in terms of the solvability of a linear-matrix inequality. Reviewer: Alexandra Rodkina (Monastir) Cited in 90 Documents MSC: 93D09 Robust stability 93C23 Control/observation systems governed by functional-differential equations 15A39 Linear inequalities of matrices 34K40 Neutral functional-differential equations Keywords:stability; time-delay; linear matrix inequality; linear neutral delay-differential systems; norm-bounded uncertainty PDF BibTeX XML Cite \textit{Q.-L. Han}, Automatica 38, No. 4, 719--723 (2002; Zbl 1020.93016) Full Text: DOI References: [2] Brayton, R. K., Bifurcation of periodic solutions in a nonlinear difference-differential equation of neutral type, Quarterly of Applied Mathematics, 24, 215-224 (1966) · Zbl 0143.30701 [4] Goubet-Batholomeus, A.; Dambrine, M.; Richard, J. P., Stability of perturbed systems with time-varying delays, Systems & Control Letters, 31, 155-163 (1997) · Zbl 0901.93047 [5] Hale, J. K.; Lunel, S. M.V., Introduction to functional differential equation (1993), Springer: Springer New York [7] Hu, G. D.; Hu, G. D., Some simple stability criteria of neutral delay-differential systems, Applied Mathematics and Computation, 80, 257-271 (1996) · Zbl 0878.34063 [8] Khusainov, D. Y.; Yun’kova, E. V., Investigation of the stability of linear systems of neutral type by the Lyapunov functional method, Diff. Uravn, 24, 613-621 (1988) [9] Kolmanovskii, V. B.; Myshkis, A., Applied theory of functional differential equations (1992), Kluwer Academic Publishers: Kluwer Academic Publishers Boston [11] Li, L. M., Stability of linear neutral delay-differential systems, Bulletin Australian Mathematical Society, 38, 339-344 (1988) · Zbl 0669.34074 [12] Malek-Zavarei, M.; Jamshidi, M., Time delay systems: analysis, optimization and applications (1987), North-Holland: North-Holland Amsterdam · Zbl 0658.93001 [13] Mori, T., Criteria for asymptotic stability of linear time-delay systems, IEEE Transactions on Automatic Control, AC-30, 158-161 (1985) · Zbl 0557.93058 [14] Park, J.-H.; Won, S., Stability analysis for neutral delay-differential systems, Journal of Franklin Institute, 337, 1-9 (2000) · Zbl 0992.34057 [15] Slemrod, M.; Infante, E. F., Asymptotic stability criteria for linear systems of differential equations of neutral type and their discrete analogues, Journal of Mathematical Analysis Applications, 38, 399-415 (1972) · Zbl 0202.10301 [16] de Souza, C. E.; Li, X., Delay-dependent robust \(H_∞\) control of uncertain linear state-delayed systems, Automatica, 35, 1313-1321 (1999) · Zbl 1041.93515 [17] Xie, L., Output feedback \(H_∞\) control of systems with parameter uncertainty, International Journal of Control, 63, 741-750 (1996) · Zbl 0841.93014 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.