Abstract
In this paper, we study H2 generalized algebraic Riccati equations for continuous-time descriptor systems. First some preliminary results are presented. Secondly, we introduce Hamiltonian matrix and its properties for descriptor systems, and derive the conditions for the existence of a solution to H2 generalized algebraic Riccati equations which reveal an inter-relationship between Hamiltonian matrix and the solution. Finally, a numerical example is given to illustrate the main result.
| Original language | English |
|---|---|
| Pages (from-to) | 2937-2942 |
| Number of pages | 6 |
| Journal | Proceedings of the American Control Conference |
| Volume | 4 |
| Publication status | Published - 1 Jan 2001 |
| Externally published | Yes |
| Event | 2001 American Control Conference - Arlington, VA, United States Duration: 25 Jun 2001 → 27 Jun 2001 |
Keywords
- Descriptor systems
- H control 2
- H generalized algebraic Riccati equations 2
- Hamiltonian matrix
ASJC Scopus subject areas
- Control and Systems Engineering