Details

Title

Lagrange and practical stability criteria for dynamical systems with nonlinear perturbations

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

Balakrishnan A. (1976), Applied functional analysis. ; Wu Hansheng (1995), Robust stability criteria for dynamical systems including delayed perturbations, IEEE Trans. on Automatic Control, 40, 3, 487, doi.org/10.1109/9.376064 ; Kato T. (1995), Perturbation theory for linear operators. ; Kokotovic P. (1972), Singular perturbation of linear regulators: Basic theorems, IEEE Trans. on Automatic Control, 17, 1, 29, doi.org/10.1109/TAC.1972.1099851 ; Korn G. (1968), Mathematical handbook. ; Krasnoselskii M. (1969), Approximate solution of operator equations. ; Krumov A. (2007), Perturbation method for modeling of nonlinear dynamical systems and robust sufficient conditions for its application, null, 2298. ; Cao Liyu (2004), Complementary results on the stability bounds of singularly perturbed systems, IEEE Trans. on Automatic Control, 49, 11, 2017, doi.org/10.1109/TAC.2004.837546 ; Nayfeh A. (2000), Perturbation Methods, doi.org/10.1002/9783527617609 ; Trenoguine V. (1987), Analyse fonctionelle. ; Trinh H. (1997), On robustness and stabilization of linear systems with delayed nonlinear perturbations, IEEE Trans. on Automatic Control, 42, 7, 1005, doi.org/10.1109/9.599983 ; Wikipedia on Answers.com: List of Banach spaces: <a target="_blank" href='http://www.answers.com/topic/list-of-banach-spaces'>http://www.answers.com/topic/list-of-banach-spaces</a> ; Ye Wanzhsu (2001), Criteria of convergence of median filters and perturbation theorem, IEEE Trans. on Signal Processing, 49, 2, 360, doi.org/10.1109/78.902118 ; Zames G. (1963), Functional analysis applied to nonlinear feedback systems, IEEE Trans. on Circuit and Systems, CT-19, 392. ; Zeidler G. (1985), Nonlinear functional analysis and its applications: Fixed point theorems. ; Lei Zhou (2011), Robust stability of singularly perturbed descriptor systems with nonlinear perturbation, IEEE Trans. on Automatic Control, 56, 4, 858, doi.org/10.1109/TAC.2010.2099770

DOI

10.2478/v10170-011-0011-5

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