An SOS-QE Approach to Nonlinear Gain Analysis for Polynomial Dynamical Systems

Author:

Ichihara Hiroyuki,Anai Hirokazu

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Theory and Mathematics,Computational Mathematics

Reference22 articles.

1. Anai, H.: A symbolic-numeric approach to multi-parametric programming for control design. In: Proceedings of the ICROS-SICE International Conference, pp. 3525–3530 (2009)

2. Boyd S., El Ghaoui L., Feron E., Balakrishman V.: Linear Matrix Inequalities in Systems and Control Theory. SIAM Studies in Applied Mathematics, Philadelphia (1994)

3. Brown C.W.: QEPCAD B—a program for computing with semi-algebraic sets using cads. SIGSAM Bull. 37(4), 97–108 (2003)

4. Caviness, B.F., Johnson, J.R. (eds.): Quantifier Elimination and Cylindrical Algebraic Decomposition. Texts and monographs in symbolic computation. Springer, Berlin (1998)

5. Chesi G., Garulli A., Tesi A., Vicino A.: Solving quadratic distance problems: an LMI-based approach. IEEE Trans. Autom. Control 48(2), 200–212 (2003)

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