Invariance pressure of control sets
Fritz Colonius, Jo\~ao A. N. Cossich, Alexandre J. Santana
TL;DR
This paper introduces the concept of invariance pressure for continuous-time control systems, analyzing how control inputs can maintain system states within a set, with key results for cases where the target set is a control set.
Contribution
It defines invariance pressure and derives foundational results, advancing the understanding of control set invariance in continuous-time systems.
Findings
Invariance pressure quantifies control effort for state invariance.
Results apply specifically when the target set is a control set.
Theoretical framework established for invariance analysis.
Abstract
The invariance pressure of continuous-time control systems with initial states in a set K which are to be kept in a set Q is introduced and a number of results are derived, mainly for the case where Q is a control set.
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