On null-controllable and asymptotically null-controllable finite-dimensional linear systems with controls bounded in the Hölder norms of control (Q1881925)
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scientific article; zbMATH DE number 2108478
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On null-controllable and asymptotically null-controllable finite-dimensional linear systems with controls bounded in the Hölder norms of control |
scientific article; zbMATH DE number 2108478 |
Statements
On null-controllable and asymptotically null-controllable finite-dimensional linear systems with controls bounded in the Hölder norms of control (English)
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18 October 2004
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Linear, finite-dimensional discrete-time control systems with bounded controls and constant coefficients are considered. Basic definitions of controllability are recalled and discussed. Next, using algebraic methods, necessary and sufficient conditions for null-controllability and asymptotic null controllability are formulated and proved. Certain special cases are also discussed in detail. Moreover, many remarks and comments on the controllability problem for discrete-time control systems are given. Finally, it should be pointed out that similar controllability problems have been considered in the monograph [\textit{J. Klamka}, Controllability of dynamical systems. Dordrecht: Kluwer (1991; Zbl 0732.93008)].
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controllability
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linear control systems
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discrete-time systems
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Hölder norms of control
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