Lyapunov Matrix Equation in System Stability and Control

By Z. Gajic, M. T. Qureshi. 2008

323 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Computer Networks and Communications, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/8365cd5d9b5329475ae2f8fabb91952bc4967ae3

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Theory and Mathematics

1. Nelson Martins
2. Francisco Damasceno Freitas
3. Joost Rommes
4. Valeria Simoncini
5. Peter Benner
6. Bart Vandereycken
7. Daniel B. Szyld
8. Maxim A. Olshanskii

In Computer Networks and Communications

1. Valeria Simoncini

In Control and Systems Engineering

1. Joost Rommes
2. Nelson Martins
3. Valeria Simoncini
4. Taishan Zeng
5. Yuesheng Xu

Citations in the corpus

• Gramian-Based Reduction Method Applied to Large Sparse Power System Descriptor Models (2008, background): “If the matrix is asymptotically stable and the ADI-parameters have strictly negative real parts, the iterative Lyapunov equation solution (15) converges to the exact solution , within an acceptable tolerance [19], [32].”
• Stability analysis of positive descriptor systems (2008, unknown): “, [3], [21], [22], [27], [32].”
• Computational Methods for Linear Matrix Equations (2016, methodology): “A large list of references on application problems where the Lyapunov equation plays an important role is available in the last chapter of [91].”
• On two numerical methods for the solution of large-scale algebraic Riccati equations (2014, unknown): “, [7], [9], [12], [13], [23], [33] and references therein.”