"In two subsequent parts monotonicity and comparison results will be studied for arbitrary dynamic systems governed by nonnegative matrices. In the present Part I, it is shown that monotonicity and comparison results, as kown for Markov reward chains, do carry over rather smoothly to the general nonnegative case for marginal, total and average reward structures. These results are not only of theoretical interest by themselves, but also essential for the more practical continuous-time case in Part II." . . . "2"^^ . . . . . . "Monotonie a porovn\u00E1n\u00ED pro nez\u00E1porn\u00E9 dynamick\u00E9 syst\u00E9my. \u010C\u00E1st I: Diskr\u00E9tn\u00ED modely."@cs . "1" . "V tomto dvoud\u00EDln\u00E9m p\u0159\u00EDsp\u011Bvku jsou vy\u0161et\u0159ov\u00E1ny vlastnosti monotonie a vz\u00E1jemn\u00E9ho porovn\u00E1v\u00E1n\u00ED pro obecn\u00E9 syst\u00E9my, jejich\u017E dynamika je generov\u00E1na pomoc\u00ED nez\u00E1porn\u00FDch matic. V \u010D\u00E1sti I je uk\u00E1z\u00E1no, \u017Ee vztahy pro monotonii a vz\u00E1jemn\u00E9 porovn\u00E1n\u00ED, jak jsou uv\u00E1d\u011Bny v literatu\u0159e pro markovsk\u00E9 \u0159et\u011Bzce, je mo\u017Eno roz\u0161\u00ED\u0159it i na p\u0159\u00EDpady, kdy dynamika syst\u00E9mu je pops\u00E1na pomoc\u00ED nez\u00E1porn\u00FDch matic. Z\u00EDskan\u00E9 poznatky, kter\u00E9 jsou zaj\u00EDmav\u00E9 i z ryze teoretick\u00E9ho hlediska, jsou d\u00E1le vyu\u017E\u00EDv\u00E1ny v \u010D\u00E1sti II pro praktick\u00E9 \u00FAlohy."@cs . . "Monotonie a porovn\u00E1n\u00ED pro nez\u00E1porn\u00E9 dynamick\u00E9 syst\u00E9my. \u010C\u00E1st I: Diskr\u00E9tn\u00ED modely."@cs . "[6AA16181AB41]" . "Kybernetika" . "Monotonicity and comparsion results for nonnegative dynamic system. Part I: Discrete-time case"@en . "Sladk\u00FD, Karel" . "20"^^ . "P(GA402/04/1294), P(GA402/05/0115), Z(AV0Z10750506)" . "Monotonicity and comparsion results for nonnegative dynamic system. Part I: Discrete-time case"@en . "van Dijk, N. M." . . . . "Monotonicity and comparsion results for nonnegative dynamic system. Part I: Discrete-time case" . "42" . "486771" . "Monotonicity and comparsion results for nonnegative dynamic system. Part I: Discrete-time case" . . . . "In two subsequent parts monotonicity and comparison results will be studied for arbitrary dynamic systems governed by nonnegative matrices. In the present Part I, it is shown that monotonicity and comparison results, as kown for Markov reward chains, do carry over rather smoothly to the general nonnegative case for marginal, total and average reward structures. These results are not only of theoretical interest by themselves, but also essential for the more practical continuous-time case in Part II."@en . "RIV/67985556:_____/06:00039065!RIV07-AV0-67985556" . . "Markov chains; monotonicoty; nonnegative matrices"@en . "1"^^ . "37;56" . "RIV/67985556:_____/06:00039065" . . . "CZ - \u010Cesk\u00E1 republika" . . "0023-5954" .