Details

Title

Lagrange and practical stability criteria for dynamical systems with nonlinear perturbations

Journal title

Archives of Control Sciences

Yearbook

2012

Issue

No 1

Authors

Divisions of PAS

Nauki Techniczne

Publisher

Committee of Automatic Control and Robotics PAS

Date

2012

Identifier

DOI: 10.2478/v10170-011-0011-5 ; ISSN 1230-2384

Source

Archives of Control Sciences; 2012; No 1

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
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