Abstract
Practical stability is of significant practical importance in scientific and engineering problems but less investigated for descriptor systems. This paper develops the concepts of practical stability to descriptor systems and by using Lyapunov functions and comparison principle, presents some techniques to specify admissible control sets, such that the motion of the closed-loop descriptor systems is practically stable and impulsive-free. Finally, as an application, this paper discusses linear time-invariant descriptor systems and derives a sufficient condition. To illustrate our approach, a simple circuit network and a numerical example are analysed.
Original language | English |
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Pages (from-to) | 1059-1067 |
Number of pages | 9 |
Journal | International Journal of Systems Science |
Volume | 37 |
Issue number | 14 |
DOIs | |
Publication status | Published - 15 Nov 2006 |
Externally published | Yes |
Keywords
- Closed-loop systems
- Comparison principle
- Descriptor systems
- Lyapunov function
- Practical stability
ASJC Scopus subject areas
- Control and Systems Engineering
- Theoretical Computer Science
- Computational Theory and Mathematics
- Management Science and Operations Research