Abstract
A novel stepping optimal control algorithm is proposed for system stability with concrete applications to physical and biological systems. According to the Vanecek-Celikovsky classification criteria and pertinent control objectives, the anterior parameter-set control law is first introduced to stabilize the parameter-corrupted system, and then the posterior target-set control law pilots the stabilized system to the preconcerted target region. By these means, the concerned problem evolves into a twin subordinate constructive subproblem. Relevant applications to system stability, within numerical simulations, have proved the efficiency and robustness of the proposed algorithm as a potentially significant tool for systems biology and particularly pathological analysis.
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References
Pyragas, K.: Control of chaos by self-controlling feedback. Physics Letters A 170, 421–428 (1992)
Kapitaniak, T., et al.: Experimental synchronization of chaos using continuous control. Int. J. Bifurcations & Chaos 4(2) (1994)
Yin, X., Ren, Y., et al.: Synchronization of discrete spatiotemporal chaos by using variable structure control. Chaos, Solitons & Fractals 14(7), 1077–1082 (2002)
Marat, R.: On optimal control design for Rössler system. Physics Letters A 333, 241–245 (2004)
Rucklidge, A.M., Mech, J.F.: Chaos in models of double convection. J. Fluid Mechanics 237, 209–229 (1992)
Vanecek, A., Celikovsky, S.: Control system: from linear analysis to synthesis of chaos. Prentice-Hall, London (1996)
Zhou, K., Doyle, J.C., Glover, K.: Robust and optimal control. Prentice-Hall, Englewood Cliffs (1996)
Zhou, K., Doyle, J.C.: Essentials of robust control. Prentice-Hall, Upper Saddle River, New Jersey (1998)
Angeli, D., et al.: Detection of multistability, bifurcations, and hysteresis in a large class of biological positive-feedback systems. Proc. Natl. Acad. Sci. USA 101(7), 1822–1827 (2004)
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© 2007 Springer-Verlag Berlin Heidelberg
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Tang, B., He, L., Chen, S., Shen, B. (2007). System Stability Via Stepping Optimal Control: Theory and Applications. In: Neves, J., Santos, M.F., Machado, J.M. (eds) Progress in Artificial Intelligence. EPIA 2007. Lecture Notes in Computer Science(), vol 4874. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-77002-2_39
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DOI: https://doi.org/10.1007/978-3-540-77002-2_39
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-77000-8
Online ISBN: 978-3-540-77002-2
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