Stability radii of higher order positive difference systems

Systems and Control Letters

Volumn 49, Issue 5, 2003, Pages 377-388

  Hinrichsen, D ^a   Son, Nguyen Khoa ^b   Ngoc, Pham Huu Anh ^c  

^a UNIVERSITY OF BREMEN   (Germany)

^b INSTITUTE OF MATHEMATICS   (Viet Nam)

^c HUE UNIVERSITY   (Viet Nam)

Author keywords

Polynomial matrix; Positive system; Robust stability; Stability radius

Indexed keywords

MATHEMATICAL MODELS; MATRIX ALGEBRA; POLYNOMIALS; ROBUSTNESS (CONTROL SYSTEMS);

POSITIVE DIFFERENCE SYSTEMS;

CONTROL SYSTEM ANALYSIS;

EID: 0038391508     PISSN: 01676911     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-6911(03)00116-6     Document Type: Article

References (14)

1. Berman A., Plemmons R.J. Nonnegative Matrices in Mathematical Sciences. 1979;Academic Press, New York.
2. Farina L., Rinaldi S. Positive Linear Systems: Theory and Applications. 2000;Wiley, New York.
3. Gantmacher F.R. The Theory of Matrices. 1974;Chelsea Publishing Company, New York.
4. Y. Genin, R. Stefan, P. Van Dooren, Real and complex stability radii of polynomial matrices, Linear Algebra Appl. 351-352 (2002) 381-410.
5. Hinrichsen D., Pritchard A.J. Real and complex stability radii: a survey. Hinrichsen D., Mårtensson B. Control of Uncertain Systems. 1990;119-162 Birkhäuser, Basel.
6. Hinrichsen D., Son N.K. Stability radii of positive discrete-time systems under affine parameter perturbations. Int. J. Robust Nonlinear Control. 8:1998;1169-1188.
7. Horn R.A., Johnson Ch.R. Matrix Analysis. 1993;Cambridge University Press, Cambridge.
8. Krein M.G., Rutman M.A. Linear operators leaving invariant a cone in a Banach space. Amer. Math. Soc. Transl. 10:1948;199-325.
9. Luenberger D.G. Introduction to Dynamic Systems, Theory, Models and Applications. 1979;Wiley, New York.
10. Pappas G., Hinrichsen D. Robust stability of linear systems described by higher order dynamic equations. IEEE Trans. Autom. Control. 38:1993;1430-1435.
11. Polderman J.W., Willems J.C. Introduction to Mathematical Systems Theory, A Behavioral Approach. 1998;Springer, New York.
12. Rosenbrock H.H. State Space and Multivariable Theory. 1970;Nelson-Wiley, New York.
13. Willems J.C., Fuhrmann P.A. Stability theory for high order equations. Linear Algebra Appl. 167:1992;131-149.
14. Wolovich W.A. Linear Multivariable Systems. 1974;Springer, New York.