和尚吃肉片 发表于 2025-3-21 16:47:24

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extinguish 发表于 2025-3-21 23:37:16

On Invariants, Canonical Forms and Moduli for Linear, Constant, Finite Dimensional, Dynamical System, G an n × m matrix, and H an p × n matrix; i.e. there are m inputs, p outputs and the state space dimension is n. The dynamical system itself is . or, if one prefers discrete time systems . A change of coordinates in state space changes the triple of matrices (F,G,H) into the triple (SFS., SG, HS.)

lavish 发表于 2025-3-22 03:28:02

System Invariants under Feedback and Cascade Controlo the study is the fact that the set of all transfer functions with denominators in a prescribed set S, is a principal ideal domain ℝ. (§1). This observation enables us to immediately conclude that the orbit of a ℝ. -transfer matrix H under a suitably defined group of transformations corresponding t

贪婪地吃 发表于 2025-3-22 07:17:24

Linear Difference Systems on Partially Ordered Sets A subring of the incidence algebra of the time set acts on the state-module, and the resulting input and output functors lead to a realization theory for time-varying difference equations. The resulting canonical realizations can be computed explicitly and generalize the classical theory of weighti

faultfinder 发表于 2025-3-22 11:51:38

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怕失去钱 发表于 2025-3-22 14:17:53

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homocysteine 发表于 2025-3-22 18:18:47

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Psa617 发表于 2025-3-22 22:51:32

A Formal Power Series Approach to Canonical Realization of Bilinear Input-Output Maps shown that for bilinear i/o mans characterized by realizable series the set of Nerode states (or canonical states) can be embedded in a finite dimensional vector snace. The dynamics of the state is then described by recursive equations of “bilinear structure”.

fatty-streak 发表于 2025-3-23 03:50:45

High Order Algebraic Conditions for Controllabilitydmissible control is a Lebesgue measurable function u with components |u.(t)| ≤ 1. a(t,p, ϑ) will denote the set of all points attainable at time t ≥ 0 by solutions of ϑ corresponding to all admissible controls; T. (•)p will denote the solution of ϑ corresponding to u = 0 . Our problem is to determi

Maximize 发表于 2025-3-23 09:24:46

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查看完整版本: Titlebook: Mathematical Systems Theory; Proceedings of the I Giovanni Marchesini,Sanjoy Kumar Mitter Conference proceedings 1976 Springer-Verlag Berli