A new approach to hull consistency

• Autorzy: Kolev L.

Identyfikatory

DOI

10.1515/aee-2016-0022

• Języki publikacji: EN

Abstrakty

EN

Hull consistency is a known technique to improve the efficiency of iterative interval methods for solving nonlinear systems describing steady-states in various circuits. Presently, hull consistency is checked in a scalar manner, i.e. successively for each equation of the nonlinear system with respect to a single variable. In the present poster, a new more general approach to implementing hull consistency is suggested which consists in treating simultaneously several equations with respect to the same number of variables.

Słowa kluczowe

EN

constraint satisfaction; hull consistency; interval methods; nonlinear circuits

• Wydawca: Polish Academy of Sciences, Committee on Electrical Engineering
• Czasopismo: Archives of Electrical Engineering
• Rocznik: 2016
• Tom: Vol. 65, nr 2
• Strony: 305--314
• Opis fizyczny: Bibliogr. 11 poz., wz.

Twórcy

autor

Kolev L.

• Technical University of Sofia 1000 Sofia, Bulgaria

Bibliografia

• [1] Kolev L., Interval methods for circuit analysis, World Scientific (1993).
• [2] Kolev L., An iterval method for global nonlinear analysis, IEEE Transactions on Circuits and Systems-I (47): 675-683 (2000).
• [3] Hansen E., Walster G., Global optimization using interval analysis, Marcel Dekker (2004).
• [4] Popova E., Generalization of the parametric fixed-point iteration, Proceedings in Applied Mathematics and Mechanics (4): 680-681 (2004).
• [5] Skalna I., A method for outer interval solution of parameterized systems of linear equations, Reliable Computing (12): 107-120 (2006).
• [6] Kolev L., Eigenvalue range determination for interval and parametric matrices, International Journal of Circuit Theory and Applications (38): 1027-1061 (2010).
• [7] Kolev L., Some ideas towards global optimization of improved efficiency, Global Optimization Integrating Convexity, Optimization, Logic Programming and Computational Algebraic Geometry workshop, 4-9 November, Wien, pp. 1-39 (2006).
• [8] Neumaier A., Pownuk A., Linear systems with large uncertainties, with applications to truss structures, Reliable Computing (13): 149-172 (2007).
• [9] Kolev L., Determining the stability margin in linear interval parameter electric circuits via a DAE model, International Journal of Circuit Theory and Applications (40): 903-926 (2012).
• [10] Kolev L., Global solution of a class of interval parameter optimization problems, Proceedings of the XXVII International Symposium on Theoretical Electrical Engineering, June 24-26, Pilsen, II 11-12 (2013).
• [11] Kolev L., Parameterized solution of linear interval parametric systems, Applied Mathematics and Computation (246): 229-246 (2014).

Uwagi

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę