caa a22 4500 467932220 CHVBK 20180406152946.0 cr unu---uuuuu 170328e20060401xx s 000 0 eng 10.1007/s00020-005-1371-7 doi (NATIONALLICENCE)springer-10.1007/s00020-005-1371-7 Exponential Stability for Discrete Time Linear Equations Defined by Positive Operators [Elektronische Daten] [Vasile Dragan, Toader Morozan] Abstract.: In this paper the problem of exponential stability of the zero state equilibrium of a discrete-time time-varying linear equation described by a sequence of linear positive operators acting on an ordered finite dimensional Hilbert space is investigated. The class of linear equations considered in this paper contains as particular cases linear equations described by Lyapunov operators or symmetric Stein operators as well as nonsymmetric Stein operators. Such equations occur in connection with the problem of mean square exponential stability for a class of difference stochastic equations affected by independent random perturbations and Markovian jumping as well us in connection with some iterative procedures which allow us to compute global solutions of discrete time generalized symmetric or nonsymmetric Riccati equations. The exponential stability is characterized in terms of the existence of some globally defined and bounded solutions of some suitable backward affine equations (inequalities) or forward affine equations (inequalities). Birkhäuser Verlag, Basel, 2006 Positive operators nationallicence discrete time linear equations nationallicence exponential stability nationallicence Dragan Vasile Institute of Mathematics of the Romanian Academy, P.O. Box 1-764, RO-014700, Bucharest, Romania aut Morozan Toader Institute of Mathematics of the Romanian Academy, P.O. Box 1-764, RO-014700, Bucharest, Romania aut Integral Equations and Operator Theory Birkhäuser-Verlag; www.birkhauser.ch 54/4(2006-04-01), 465-493 0378-620X 54:4<465 2006 54 20 https://doi.org/10.1007/s00020-005-1371-7 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00020-005-1371-7 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Dragan Vasile Institute of Mathematics of the Romanian Academy, P.O. Box 1-764, RO-014700, Bucharest, Romania aut NATIONALLICENCE 700 1- Morozan Toader Institute of Mathematics of the Romanian Academy, P.O. Box 1-764, RO-014700, Bucharest, Romania aut NATIONALLICENCE 773 0- Integral Equations and Operator Theory Birkhäuser-Verlag; www.birkhauser.ch 54/4(2006-04-01), 465-493 0378-620X 54:4<465 2006 54 20 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer