CONTROL SETS FOR AFFINE SYSTEMS, SPECTRAL PROPERTIES, AND PROJECTIVE SPACES.

Autor: COLONIUS, FRITZ, SANTANA, ALEXANDRE J., SETTI, JULIANA
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Zdroj: SIAM Journal on Control & Optimization; 2023, Vol. 61 Issue 2, p647-673, 27p
Abstrakt: For affine control systems with bounded control range, the control sets, i.e., the maximal subsets of complete approximate controllability, are studied using spectral properties. For hyperbolic systems there is a unique control set with nonvoid interior, and it is bounded. For nonhyperbolic systems, these control sets are unbounded. In an appropriate compactification of the state space there is a unique chain control set, and the relations to the homogeneous part of the control system are worked out. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index