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Stability and linearization: discrete-time systems

2002 IEEE International Symposium on Circuits and Systems. Proceedings (Cat. No.02CH37353), 2002
AbstractA theorem by Hadamard gives a two‐part condition under which a map from one Banach space to another is a homeomorphism. The theorem, while often very useful, is incomplete in the sense that it does not explicitly specify the family of maps for which the condition is met.
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Discrete-Time Systems

2020
Discretization of continuous-time models is considered. Definition of SM for discrete-time systems is presented. The behavior under uncertainties of discrete-time systems, controlled by SM, is briefly discussed.
Vadim Utkin   +3 more
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Discrete-Time Systems

2009
M. Sami Fadali, Antonio Visioli
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Discrete-Time Systems

1991
A signal is defined as continuous within a time range if its amplitude is specified for all t in that range, except possibly at a finite number of discontinuities. If a continuous time variable is quantized, that is, if t is represented by a set of distinct values denoted by tk, where k takes on positive integer values exclusively, the signal is ...
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Discrete-time Systems

1977
State-variable analysis has been developed entirely in terms of continuous systems, but the same principles and methods can be applied to discrete-time systems. In such systems, variables may change only at discrete intervals of time, the system being analogous to a difference equation.
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Discrete-Time Signals and Systems

2019
Aydin Akan, Luis F. Chaparro
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