Matrix conditions for the stability of 2D dynamics

Circuits, Systems, and Signal Processing

Volumn 19, Issue 3, 2000, Pages 187-196

  Ooba, Tatsushi ^a  

^a NAGOYA INSTITUTE OF TECHNOLOGY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; DYNAMICS; LYAPUNOV METHODS; MATRIX ALGEBRA; OSCILLATIONS; STATE SPACE METHODS; THEOREM PROVING;

QUADRATIC LYAPUNOV STABILITY; SATURATION ARITHMETIC; STEP BY STEP CONTRACTIVE STABILITY; TWO DIMENSIONAL DYNAMICS;

CONVERGENCE OF NUMERICAL METHODS;

EID: 0033684933     PISSN: 0278081X     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF01204573     Document Type: Article

References (11)

1. W. N. Anderson and R. J. Duffin, Series and parallel addition of matrices, J. Math. Anal. Appl., 26, 576-594, 1969.
2. E. Fornasini and G. Marchesini, Stability analysis of 2-D systems, IEEE Trans. Circuits and Systems, CAS-27, 1210-1217, 1980..
3. T. Hinamoto, 2-D Lyapunov equation and filter design based on the Fomasini-Marchesini second model, IEEE Trans. Circuits and Systems, CAS-40, 102-110, 1993.
4. T. Hinamoto, Stability of 2-D discrete systems described by the Fornasini-Marchesini second model, IEEE Trans. Circuits and Systems, CAS-44, 254-256, 1997.
5. W.-S. Lu, On a Lyapunov approach to stability analysis of 2-D digital filters, IEEE Trans. Circuits and Systems, CAS-41, 665-669, 1994.
6. W.-S. Lu, On robust stability of 2-D discrete systems, IEEE Trans. Automat. Control, AC-40, 502-506, 1995.
7. W. L. Mills, C. T. Mullis, and R. A. Roberts, Digital filter realizations without overflow oscillations, IEEE Trans. Acoust. Speech Signal Process., ASSP-26, 334-338, 1978.
8. K. Nishio and T. Ando, Characterization of operations derived from network connections, J. Math. Anal. Appl., 53, 539-549, 1976.
9. T. Ooba, On stability analysis of 2-D systems based on 2-D Lyapunov matrix inequalities, IEEE Trans. Circuits and Systems, submitted, 1999.
10. T. Ooba, On stability robustness of 2-D systems described by the Fornasini-Marchesini model, Multidimens. Systems Signal Process., submitted, 1999.
11. J.-B H.-Urruty and C. Lemaréchal, Convex Analysis and Minimization Algorithms, Springer-Verlag, Berlin and New York, 1993.