References
- Bittanti, S., & Colaneri, P. (2000). Invariant representations of discrete-time periodic systems. Automatica, 36(12), 1777–1793.
- Bittanti, S., & Colaneri, P. (2009). Periodic systems: Filtering and control. London: Springer.
- Chen, T., & Francis, B. (1995). Optimal sampled-data control systems. London: Springer.
- Doyle, J. (1982). Analysis of feedback systems with structured uncertainties. IEE Proceedings, 129(6), 242–250.
- Fan, M.K.H., Tits, A.L., & Doyle, J.C. (1991). Robustness in the presence of mixed parametric uncertainty and unmodeled dynamics. IEEE Transactions on Automatic Control, 36(1), 25–38.
- Feintuch, A., Khargonekar, P., & Tannenbaum, A. (1986). On the sensitivity minimization problem for linear time-varying periodic systems. SIAM Journal on Control and Optimization, 24(5), 1076–1085.
- Hagiwara, T., & Ohara, Y. (2010). Noncausal linear periodically time-varying scaling for robust stability analysis of discrete-time systems: Frequency-dependent scaling induced by static separators. Automatica, 46(1), 167–173.
- Hosoe, Y., & Hagiwara, T. (2011a). Properties of discrete-time noncausal linear periodically time-varying scaling and their relationship with shift-invariance in lifting-timing. International Journal of Control, 14(5), 1194–1204.
- Hosoe, Y., & Hagiwara, T. (2011b). Robust stability analysis with cycling-based LPTV scaling and its relationship with lifting-based approach. In Proceeding of SICE Annual Conference 2011, FrA13-06 (pp. 1782–1790), Tokyo, Japan.
- Hosoe, Y., & Hagiwara, T. (2012). Robust stability analysis based on noncausal LPTV FIR scaling: Explicit procedure and relationship with causal LTI FIR scaling. In Proceeding of 51st IEEE Conference on Decision and Control, MoA06.5 (pp. 240–247), Maui, HI.
- Hosoe, Y., & Hagiwara, T. (2013a). Robust stability analysis based on finite impulse response scaling for discrete-time linear time-invariant systems. IET Control Theory & Applications, 7(11), 1463–1471.
- Hosoe, Y., & Hagiwara, T. (2013b). Unified treatment of robust stability conditions for discrete-time systems through an infinite matrix framework. Automatica, 49(5), 1488–1493.
- Iwasaki, T., & Hara, S. (1998). Well-posedness of feedback systems: Insights into exact robustness analysis and approximate computations. IEEE Transactions on Automatic Control, 43(5), 619–630.
- Miyamoto, M., Hosoe, Y., & Hagiwara, T. (2015). Robust stability analysis with cycling-based LPTV scaling. Part I: Fundamental results on its relationship with lifting-based LPTV scaling. International Journal of Control, doi:10.1080/00207179.2016.1206970.
- Packard, A., & Doyle, J. (1993). The complex structured singular value. Automatica, 29(1), 71–109.
- Rantzer, A. (1996). On the Kalman–Yakubovich–Popov lemma. Systems & Control Letters, 28(1), 7–10.
- Zhou, K., & Doyle, J.C. (1998), Essentials of robust control. Upper Saddle River, NJ: Prentice-Hall.