Zobrazeno 1 - 10
of 64
pro vyhledávání: '"Martin Scheicher"'
Publikováno v:
SSRN Electronic Journal.
Publikováno v:
Linear Time-Invariant Systems, Behaviors and Modules ISBN: 9783030439354
This chapter is a detailed comment on the content of the book and a self-contained survey over larger parts of linear time-invariant systems theory and electrical engineering, on the basis of mathematical knowledge of two university years. For simpli
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7b5f257d06ba3cc7913c10bdf0879bd6
https://doi.org/10.1007/978-3-030-43936-1_2
https://doi.org/10.1007/978-3-030-43936-1_2
Publikováno v:
Linear Time-Invariant Systems, Behaviors and Modules ISBN: 9783030439354
In the standard discrete-time and continuous-time cases and for relevant classes of signals, we interpret the transfer matrix of an input/output behavior as transfer operator which maps input signals to output signals. In the most important settings,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ebfb53ac8d51e10dc1e69e24a475671e
https://doi.org/10.1007/978-3-030-43936-1_8
https://doi.org/10.1007/978-3-030-43936-1_8
Publikováno v:
Linear Time-Invariant Systems, Behaviors and Modules ISBN: 9783030439354
We use quotient modules and quotient behaviors for algebraically treating the stability of autonomous and of IO behaviors. The prototypical example for such a quotient is the quotient field (e.g., \({\mathbb {Q}}\)) of a commutative integral domain (
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e5ea8dba78e8974e3b0e0403527772ca
https://doi.org/10.1007/978-3-030-43936-1_9
https://doi.org/10.1007/978-3-030-43936-1_9
Publikováno v:
Linear Time-Invariant Systems, Behaviors and Modules ISBN: 9783030439354
We show in this chapter that the module-behavior duality can also be applied to fractional or symbolic calculus, to suitably defined fractional behaviors and to the constructive solution of general fractional differential systems. We generalize the s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::17f28665f336522fd24b4901459fd348
https://doi.org/10.1007/978-3-030-43936-1_13
https://doi.org/10.1007/978-3-030-43936-1_13
Publikováno v:
Linear Time-Invariant Systems, Behaviors and Modules ISBN: 9783030439354
In this chapter, we discuss IO behaviors, i.e., behaviors whose trajectories are decomposed into an input and an output component. Most non-autonomous systems are of this type. Every IO behavior has a transfer matrix, which we derive algebraically by
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::31995958e6348affb88f8ad4c23757bb
https://doi.org/10.1007/978-3-030-43936-1_6
https://doi.org/10.1007/978-3-030-43936-1_6
Publikováno v:
Linear Time-Invariant Systems, Behaviors and Modules ISBN: 9783030439354
In this chapter we study the three fundamental system properties observability, autonomy, and controllability. We characterize these algebraically and in terms of the behavior’s trajectories, and derive Kalman’s famous results on state space syst
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::be8a2799fa835760904552632691fa76
https://doi.org/10.1007/978-3-030-43936-1_4
https://doi.org/10.1007/978-3-030-43936-1_4
Publikováno v:
Linear Time-Invariant Systems, Behaviors and Modules ISBN: 9783030439354
A technical system as, for example, a machine or an electrical or mechanical network, is typically modeled as a set of equations. The solution set of such a systemof equations is called a behavior,while the individual solutions are the trajectories o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::033f952e2de38551e2e4c8ddfb670c8e
https://doi.org/10.1007/978-3-030-43936-1_3
https://doi.org/10.1007/978-3-030-43936-1_3
Publikováno v:
Differential-Algebraic Equations Forum ISBN: 9783030439354
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d987043df958635b8dba3e424feecebf
https://doi.org/10.1007/978-3-030-43936-1
https://doi.org/10.1007/978-3-030-43936-1
Publikováno v:
Linear Time-Invariant Systems, Behaviors and Modules ISBN: 9783030439354
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9e55c169468403d0367b163503b368ed
https://doi.org/10.1007/978-3-030-43936-1_10
https://doi.org/10.1007/978-3-030-43936-1_10