Mossaheb, S. Feedback stability of certain non-linear systems. (English) Zbl 0578.93053 Int. J. Control 42, 1141-1144 (1985). It is proved that if a linear system has a non-negative convex impulse response then its feedback connection with any nonlinearity whose characteristic lies in finite sectors of the first and third quadrant is stable. Reviewer: L.Faibusovich MSC: 93D25 Input-output approaches in control theory 93C10 Nonlinear systems in control theory 93C30 Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) Keywords:passive systems; feedback stability; nonlinearity PDFBibTeX XMLCite \textit{S. Mossaheb}, Int. J. Control 42, 1141--1144 (1985; Zbl 0578.93053) Full Text: DOI References: [1] FRIEDMAN A., J. Analyse Math. 11 pp 381– (1963) · Zbl 0134.31502 · doi:10.1007/BF02789991 [2] GRIPENBERG G., J. math. Analysis Applic. 76 pp 134– (1980) · Zbl 0442.45001 · doi:10.1016/0022-247X(80)90067-0 [3] HEWITT E., Real and Abstract Analysis (1965) · Zbl 0137.03202 [4] LEVINSON N., J. math. Analysis Applic. 1 pp 1– (1961) · Zbl 0094.08501 · doi:10.1016/0022-247X(60)90028-7 [5] MANN W. R., Q. Appl. Math. 9 pp 163– (1951) [6] MILLER R. K., J. math. Analysis Applic. 22 pp 319– (1968) · Zbl 0167.40901 · doi:10.1016/0022-247X(68)90176-5 [7] MOSSAHEB S., SIAM J. Control Optim. 20 pp 144– (1982) · Zbl 0473.93057 · doi:10.1137/0320011 [8] PADMAVALLY K., J. Math. Mech. 7 pp 533– (1958) [9] ROBERT J. H., Pacific J. Math. 1 pp 431– (1951) · Zbl 0044.32202 · doi:10.2140/pjm.1951.1.431 [10] ZYGMUND A., Trigonometric Series 1 (1968) · Zbl 0157.38204 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.