Title

On a continuity of characteristic exponents of linear discrete time-varying systems

Journal title

Archives of Control Sciences

Yearbook

2012

Issue

No 1

Authors

Czornik, Adam ; Niezabitowski, Michał ; Mokry, Piotr

Divisions of PAS

Nauki Techniczne

Publisher

Committee of Automatic Control and Robotics PAS

Date

2012

Identifier

DOI: 10.2478/v10170-011-0009-z ; ISSN 1230-2384

Source

Archives of Control Sciences; 2012; No 1

References

Agarwal R. (2000), Difference equations and inequalities. Theory, methods, and applications. ; Barreira L. (2001), University Lectures Series, 23. ; Barreira L. (2007), Stability theory and Lyapunov regularity, J. of Differential Equations, 232, 2, 675, doi.org/10.1016/j.jde.2006.09.021 ; Bhatia R. (1997), Matrix analysis, doi.org/10.1007/978-1-4612-0653-8 ; Bylov B. (1969), Necessary and sufficient conditions for stability of characteristic exponents of a diagonal system, Diff. Uravn, 5, 10, 1785. ; Bylov B. (1969), Necessary and sufficient conditions for stability of characteristic exponents of a linear system, Diff. Uravn, 5, 10, 1794. ; Czornik A. (2000), On the bounds on the solutions of the algebraic Lyapunov and Riccati equations, Archives of Control Sciences, 10, 3/4, 197. ; Czornik A. (2010), On the exponential exponents of discrete linear systems, Linear Algebra and its Applications, 433, 4, 867, doi.org/10.1016/j.laa.2010.04.019 ; Czornik A. (2010), On the sigma exponent of discrete linear systems, IEEE Trans. on Automatic Control, 55, 6, 1511, doi.org/10.1109/TAC.2010.2045699 ; A. Czornik, A. Nawrat and M. Niezabitowski: On the stability of Lyapunov exponents of discrete linear systems. To be submitted. ; Demidovich V. (1969), Stability criterion for difference equation, Diff. Uravn, 5, 7, 1247. ; Gantmacher F. (1999), The theory of matrices, 1. ; Malkin I. (1966), Theory of stability of motion. ; Milionschikov V. (1969), Structurally stable properties of linear systems of differential equations, Diff. Uravn, 5, 10, 1775. ; Świerniak A. (1982), State inequalities approach to control systems with uncertainty, Proceedings IEE, pt. D, 129, 6, 271, doi.org/10.1049/ip-d.1982.0057