Ladde, G. S.; Siljak, D. D. Multiplex control systems: Stochastic stability and dynamic reliability. (English) Zbl 0524.93067 Int. J. Control 38, 515-524 (1983). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 21 Documents MSC: 93E15 Stochastic stability in control theory 60K10 Applications of renewal theory (reliability, demand theory, etc.) 90B25 Reliability, availability, maintenance, inspection in operations research 93C35 Multivariable systems, multidimensional control systems 93C05 Linear systems in control theory 93D05 Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory Keywords:dynamic reliability; multiplex control systems; Markovian structural perturbations; Ljapunov’s direct method PDFBibTeX XMLCite \textit{G. S. Ladde} and \textit{D. D. Siljak}, Int. J. Control 38, 515--524 (1983; Zbl 0524.93067) Full Text: DOI References: [1] BARLOW R. E., Statistical Theory of Reliability and Life Testing (1975) · Zbl 0379.62080 [2] BAR-SHALOM Y., I.E.E.E. Trans. Auto. Control 14 pp 3– (1969) · doi:10.1109/TAC.1969.1099087 [3] BERNHARD R., Spectrum 17 pp 33– (1980) · doi:10.1109/MSPEC.1980.6368384 [4] FELLER W., An Introduction to Probability Theory and Its Applications (1957) · Zbl 0077.12201 [5] IKEDA M., J. Optim. Theory Applic. 34 pp 279– (1981) · Zbl 0433.93005 · doi:10.1007/BF00935477 [6] KATS I. YA., Prikladnaya Malematika i Mekhanika 24 pp 809– (1960) [7] KRASOVSKII N. N., Automatika i Telemekhanika 22 pp 1021– (1961) [8] LADDE G. S., Random Differential Inequalities (1980) · Zbl 0466.60002 [9] LADDE G. S., J. Math. Anal. Applic. 48 pp 341– (1974) · Zbl 0295.60043 · doi:10.1016/0022-247X(74)90164-4 [10] ŠILJAK D. D., Large-Scale Dynamic Systems Stability and Structure (1978) [11] SWORDER D. D., Proc. Inst. elect. electron Engrs 64 pp 1219– (1976) · doi:10.1109/PROC.1976.10292 [12] WONHAM , W. M. , 1970 ,Probabilistic Method in Applied Mathematics, Vol. 2 , edited by A. T. Bharucha-Reid ( New York Academic Press ), pp. 131 – 212 . 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. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.