Outer invariance entropy for discrete-time linear systems on Lie groups
| Autor: | Alexandre J. Santana, João A. N. Cossich, Fritz Colonius |
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| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
Pure mathematics
Control and Optimization Computer Science::Information Retrieval Linear system Lie group Invariant (physics) Discrete time nonlinear systems Measure (mathematics) Upper and lower bounds Computational Mathematics Entropy (classical thermodynamics) 93B05 (Primary) 37B40 94A17 16W20 (Secondary) Control and Systems Engineering Optimization and Control (math.OC) FOS: Mathematics ddc:510 Mathematics - Optimization and Control Mathematics Haar measure |
| Popis: | We introduce discrete-time linear control systems on connected Lie groups and present an upper bound for the outer invariance entropy of admissible pairs (K,Q). If the stable subgroup of the uncontrolled system is closed and K has positive measure for a left invariant Haar measure, the upper bound coincides with the outer invariance entropy. Comment: 17 pages |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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