References
- Alizadeh, F., & Goldfarb, D. (2003). Second-order cone programming. Mathematical Programming, 95(1), 3–51.
- Bhattacharya, R., Tiwari, A., Fung, J., & Murray, M. R. (2009). Cone invariance and rendezvous of multiple agents. Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering, 223(6), 779–789.
- Blanchini, F., Colaneri, P., & Valcher, M. E. (2015). Switched positive linear systems. Foundations and Trends® in Systems and Control, 2(2), 101–273.
- Bolzern, P., & Colaneri, P. (2015). Positive Markov jump linear systems. Foundations and Trends® in Systems and Control, 2(3–4), 275–427.
- Boyd, S., & Vandenberghe, L. (2004). Convex optimization. Cambridge: Cambridge University Press.
- Briat, C. (2013). Robust stability and stabilization of uncertain linear positive systems via integral linear constraints: L1-gain and L∞-gain characterization. International Journal of Robust and Nonlinear Control, 23(17), 1932–1954.
- Chen, Y., Bolzern, P., Colaneri, P., Bo, Y., & Du, B. (2018a, July 16–20). Analysis of performance and state-feedback design for MJLS in polyhedral cones. In Proceedings of the 23rd international symposium on mathematical theory of networks and systems (MTNS) (pp. 543–550). Hong-Kong.
- Chen, Y., Bolzern, P., Colaneri, P., Bo, Y., & Du, B. (2018b, December 17–19). Stability and stabilization for Markov jump linear systems in polyhedral cones. In Proceedings of the 57th IEEE conference on decision and control (CDC) (pp. 4779–4784). Miami Beach, FL.
- Ebihara, Y., Peaucelle, D., & Arzelier, D. (2014). LMI approach to linear positive system analysis and synthesis. Systems & Control Letters, 63, 50–56.
- Farina, L., & Rinaldi, S. (2011). Positive linear systems: Theory and applications. New York: John Wiley & Sons.
- Rantzer, A. (2015). Scalable control of positive systems. European Journal of Control, 25, 72–80.
- Schneider, H., & Vidyasagar, M. (1970). Cross-positive matrices. SIAM Journal on Numerical Analysis, 7(4), 508–519.
- Shen, J., & Lam, J. (2017a). Input–output gain analysis for linear systems on cones. Automatica, 77, 44–50.
- Shen, J., & Lam, J. (2017b). Some extensions on the bounded real lemma for positive systems. IEEE Transactions on Automatic Control, 62(6), 3034–3038.
- Shen, J., & Zheng, W. X. (2015). Stability analysis of linear delay systems with cone invariance. Automatica, 53, 30–36.
- Stern, R. J., & Wolkowicz, H. (1991). Exponential nonnegativity on the ice cream cone. SIAM Journal on Matrix Analysis and Applications, 12(1), 160–165.
- Tanaka, T., & Langbort, C. (2011). The bounded real lemma for internally positive systems and H-infinity structured static state feedback. IEEE Transactions on Automatic Control, 56(9), 2218–2223.