. "[2B51A63F9177]" . . "646648" . . . . . . "1"^^ . "RIV/67985840:_____/02:00023015" . "1"^^ . . "Functional Equation Approach to the Modelling and Control of Continuous and Hybrid Petri Nets" . "6"^^ . "2001-08-27+02:00"^^ . "hybrid Petri nets; inf-convolution; transfer function"@en . "P(GA201/99/D081), Z(AV0Z1019905)" . "Amsterdam" . "Deterministick\u00E9 spojit\u00E9 Petriho sit\u011B mohou b\u00FDt reprezentov\u00E1ny syst\u00E9my funkcion\u00E1ln\u00EDch rovnic typu pevn\u00E9ho bodu, kter\u00E9 je mo\u017Eno tak\u00E9 vid\u011Bt jako line\u00E1rn\u00ED integr\u00E1ln\u00ED rovnice ve smyslu idempotentn\u00ED integrace. Je definov\u00E1na t\u0159\u00EDda hybridn\u00EDch Petriho s\u00EDt\u00ED, je\u017E m\u00E1 line\u00E1rn\u00ED reprezentaci na idempotentn\u00EDm polokruhu funkc\u00ED s hodnotami v polokruhu (R,min,+). Tato reprezentace je aplikov\u00E1na na optim\u00E1ln\u00ED \u0159\u00EDzen\u00ED."@cs . "Proceedings of the IFAC Symposium on System Structure and Control, Workshop on (max,+) algebras" . "Funkcion\u00E1ln\u00ED rovnice pro modelov\u00E1n\u00ED a \u0159\u00EDzen\u00ED spojit\u00FDch a hybridn\u00EDch Petriho s\u00EDt\u00ED"@cs . "Praha" . "Funkcion\u00E1ln\u00ED rovnice pro modelov\u00E1n\u00ED a \u0159\u00EDzen\u00ED spojit\u00FDch a hybridn\u00EDch Petriho s\u00EDt\u00ED"@cs . . . . . "Functional Equation Approach to the Modelling and Control of Continuous and Hybrid Petri Nets"@en . "It is shown that deterministic continuous Petri nets can be represented by systems of functional equations of the fixed-point type, which can be viewed as linear integral equations in the sense of idempotent integration. The class of hybrid Petri nets allowing a linear representation in the idempotent semiring of functions ranging in the (min,+) semiring is identified. This representation is applied to the optimal control."@en . "Functional Equation Approach to the Modelling and Control of Continuous and Hybrid Petri Nets" . . "127;132" . "It is shown that deterministic continuous Petri nets can be represented by systems of functional equations of the fixed-point type, which can be viewed as linear integral equations in the sense of idempotent integration. The class of hybrid Petri nets allowing a linear representation in the idempotent semiring of functions ranging in the (min,+) semiring is identified. This representation is applied to the optimal control." . "Elsevier" . . . "Functional Equation Approach to the Modelling and Control of Continuous and Hybrid Petri Nets"@en . "RIV/67985840:_____/02:00023015!RIV06-AV0-67985840" . "Komenda, Jan" . . . .