Abstract:
The paper develops a comprehensive framework for analyzing the invariance of polyhedral sets with respect to the trajectories of nonlinear continuous-time dynamic systems...Show MoreMetadata
Abstract:
The paper develops a comprehensive framework for analyzing the invariance of polyhedral sets with respect to the trajectories of nonlinear continuous-time dynamic systems. The fundamental contribution consists in stating and proving a general theorem, which takes into account nonlinear time-varying systems and, respectively, polyhedral sets with arbitrary time-dependence. To the intrinsic mathematical value of this result, the work adds the significance of some problems with specific contexts, which can be derived as particular cases of our general setting. At the same time, it is shown that some of these particular cases are correlated with specific invariance properties, which were studied individually, through separate researches. The specificity of the properties refers both to characteristics of dynamics and to subclasses of polyhedral sets.
Date of Conference: 10-12 October 2024
Date Added to IEEE Xplore: 11 November 2024
ISBN Information: