Details

Title

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

Journal title

Archives of Control Sciences

Yearbook

2012

Numer

No 1

Publication authors

Divisions of PAS

Nauki Techniczne

Description

Archives of Control Sciences welcomes for consideration papers on topics of significance in broadly understood control science and related areas, including: basic control theory, optimal control, optimization methods, control of complex systems, mathematical modeling of dynamic and control systems, expert and decision support systems and diverse methods of knowledge modelling and representing uncertainty (by stochastic, set-valued, fuzzy or rough set methods, etc.), robotics and flexible manufacturing systems. Related areas that are covered include information technology, parallel and distributed computations, neural networks and mathematical biomedicine, mathematical economics, applied game theory, financial engineering, business informatics and other similar fields.

Aims and Scope: Archives of Control Sciences publishes papers in the broadly understood field of control science and related areas while promoting the closer integration of the Polish, as well as other Central and East European scientific communities with the international world of science.

Publisher

Committee of Automatic Control and Robotics PAS

Date

2012

Identifier

ISSN 1230-2384

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

DOI

10.2478/v10170-011-0009-z

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