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Synchronization of Chaotic Secure Communication Systems with Interval Time-varying Delays  

Kwon, Oh-Min (충북대학교 전기공학과)
Park, Ju-Hyun (영남대학교 전기공학과)
Lee, Sang-Moon (대구대학교 전자공학부)
Park, Myeong-Jin (충북대학교 전기공학과)
Publication Information
The Transactions of The Korean Institute of Electrical Engineers / v.58, no.6, 2009 , pp. 1215-1222 More about this Journal
Abstract
In this paper, a method of designing a controller which ensures the synchronization between the transmission and the reception ends of chaotic secure communication systems with interval time-varying delays is proposed. To increase communication security, the transmitted message is encrypted with the techniques of N-shift cipher and public key. And to reduce the conservatism of the stabilization criterion for error dynamic system obtained from the transmitter and receiver, a new Lyapunov-functional and bounding technique are proposed. Through a numerical example, the effectiveness of the proposed method is shown in the chaotic secure communication system.
Keywords
Chaotic system; Interval time-varying delays; Secure communication; Lyapunov method; LMI;
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Times Cited By KSCI : 1  (Citation Analysis)
Times Cited By SCOPUS : 0
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1 Z. Li, D. Xu, 'A secure communication scheme using projective chaos synchronization', Chaos Solitons & Fractals, vol.22, pp.477-481, 2004   DOI   ScienceOn
2 C.C. Wang, J.P. Su, 'A new adaptive variable structure control for chaotic synchronization and secure communication', Chaos Solitons & Fractals, vol.20, pp.967-977, 2004   DOI   ScienceOn
3 D. Li, Z. Wang, J. Zhou, J, Fang, J. Ni, 'A note on chaotic synchronization of time-delay secure commun.ication systems', Chaos Solitons & Fractals, vol.38, pp.1217-1224, 2008   DOI   ScienceOn
4 J. Hale, and S.M.V. Lunel, Introduction to Functional Differential Equatins, Springer-Verlag, New York, 1993
5 J,H. Park, S. Won, 'Asymptotic stability of neutral systems with multiple delays', Journal of Optimization Theory and Applications, vol. 103, pp.187-200, 1999   DOI   ScienceOn
6 J, -H. Kim, 'Delay and its time-derivative dependent robust stability of time-delayed linear systems with uncertainty', IEEE Transactions on Automatic Control, vol.46, pp.789-792, 2001   DOI   ScienceOn
7 V.L. Kharitonov, S.-I. Niculescu, 'On the stability of linear systems with uncertain delay, IEEE Transactions on Automatic control, vol.48, pp.127-132, 2003   DOI   ScienceOn
8 K. Gu, An integral inequality in the stability problem of time-delay systems, Proceedings of 39th IEEE Conference on Decision and Control, Sydney, Australia, December, 2000   DOI
9 D. Yue, C. Pang, G.Y. Tang, 'Guaranteed cost control of linear systems over networks with state and input quantisations', IEE Proceedings-Control Theory and Applications, vol.153, pp.658-664, 2006   DOI   ScienceOn
10 OM. Kwon, Ju H. Park, S.M. Lee, 'On stability criteria for uncertain delay-ifferential systems of neutral type with time-varying delays', Applied Mathematics and Computations, vol.l97, pp.864-873, 2008   DOI   ScienceOn
11 S. Boyd, L.E. Ghaoui, E. Feron, V. Balakrishnan, Linear Matrix Inequalities in Systems and Control Theory, Philadelphia, SIAM, 1994
12 T. Yang, e.W. Wu, L.O. Chua, 'Crptography based on chaotic system', LEEE Transactions on Circuits and Systems -I: Fundamental Theory and Applications, vol.44, pp.469-472, 1997   DOI   ScienceOn
13 M. Feki, 'An adaptive chaos synchronization scheme applied to secure communication', Chaos Solitons & Fractals, vol.18, pp.141-148, 2003   DOI   ScienceOn
14 O.M. Kwon, and J,H. Park, 'An improved delay-dependent robust control for uncertain time delay systems', IEEE Transactions on Automatic Control, vol. 49, No. 11, pp.1991-1995, 2004   DOI   ScienceOn
15 J,-H. Kim, Y.-G. Yi, 'Delay-dependent robust stability of uncertain time-delayed linear systems', Trans. KIEE, 55D, pp.147-156, 2006   과학기술학회마을
16 V.B. Kolmanovskii, and A. Myshkis, Applied Theory to Functional Differential Equations, Kluwer Academic Publishers, Boston, 1992