Abstract
The paper presents finite-dimensional dynamical control systems described by linear fractional-order state equations with multiple delays in control. The constrained controls are considered. The set of admissible control values is assumed to be a compact set containing 0, a convex and compact set containing 0 in its interior, a cone with vertex at zero and a nonempty interior, or a convex and close cone with nonempty interior and vertex at zero. The definitions of various types of constrained controllability of the linear fractional systems with delays in control are formulated. New necessary and sufficient conditions for constrained relative controllability of fractional-order control systems with delayed controls are established and proved. Numerical examples are provided to illustrate the obtained theoretical results.
| Original language | English |
|---|---|
| Pages (from-to) | 9-15 |
| Number of pages | 7 |
| Journal | Systems and Control Letters |
| Volume | 106 |
| DOIs | |
| Publication status | Published - Aug 2017 |
Keywords
- Constrained controllability
- Delays in control
- Fractional systems
- Linear control systems
- Pseudo-transition matrix
- The Caputo derivative
ASJC Scopus subject areas
- Control and Systems Engineering
- General Computer Science
- Mechanical Engineering
- Electrical and Electronic Engineering
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