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 |
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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