Causal and Anticausal Operators Associated with Input and State to Output Descriptions of Switched Linear Dynamic Systems with Point Lags
M. De la Sen
TL;DR
This paper investigates the causality properties of switched linear dynamic systems with point lags using Hankel and Toeplitz operators, providing a mathematical framework for understanding their causal and anticausal behaviors.
Contribution
It introduces a novel approach to analyze causality in switched linear systems with point lags through the use of Hankel and Toeplitz operators.
Findings
Characterization of causality and anticausality in switched systems
Mathematical framework using Hankel and Toeplitz operators
Insights into the behavior of systems with point lags
Abstract
The causality properties of linear time-varing systems under constant time lags are investigated based on the definition and use of the definitions of appropriate Hankel and Toeplitz causal and anticausal operators.
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Taxonomy
TopicsStability and Control of Uncertain Systems · Stability and Controllability of Differential Equations · Quantum chaos and dynamical systems