Abstract
The extension of the Lyapunov equation to the two- and multi-dimensional systems is an important problem in the stability analysis and implementation of such systems. In this paper a brief review of results in this areas is given and the relationships between the various approaches are discussed.
Keywords
- Characteristic Polynomial
- Lyapunov Equation
- Multidimensional System
- Hermitian Solution
- Positive Definite Solution
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© 1991 Springer Science+Business Media New York
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Agathoklis, P. (1991). New Results in the Stability Analysis of Two-Dimensional Systems. In: New Trends in Systems Theory. Progress in Systems and Control Theory, vol 7. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0439-8_4
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DOI: https://doi.org/10.1007/978-1-4612-0439-8_4
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-1-4612-6760-7
Online ISBN: 978-1-4612-0439-8
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