References
- Boyd, S., & Vandenberghe, L. (2004). Convex optimization. Cambridge: Cambridge University Press.
- DeCarlo, R., Branicky, M., Pettersson, S., & Lennartson, B. (2000). Perspectives and results on the stability and stabilizability of hybrid systems. Proceedings of the IEEE, 88(7), 1069–1082.
- Farina, L., & Rinaldi, S. (2000). Positive linear systems: Theory and applications. New York, NY: Wiley.
- Gurvits, L., Shorten, R., & Mason, O. (2007). On the stability of switched positive linear systems. IEEE Transactions on Automatic Control, 52(6), 1099–1103.
- Jadbabaie, A., Lin, J., & Morse, A.S. (2003). Coordination of groups of mobile autonomous agents using nearest neighbor rules. IEEE Transactions on Automatic Control, 48(6), 988–1001.
- Liberzon, D. (2003). Switching in systems and control. Boston, MA: Birkhäuser.
- Liberzon, D., & Morse, A.S. (1999). Basic problems in stability and design of switched systems. IEEE Control Systems Magazine, 19(5), 59–70.
- Luenberger, D.G. (1979). Introduction to dynamic systems: Theory, models and applications. New York, NY: Wiley.
- Molchanov, A.P., & Pyatnitskiy, E.S. (1989). Criteria of asymptotic stability of differential and difference inclusions encountered in control theory. Systems & Control Letters, 13, 59–64.
- Najson, F. (2008). Conditions for feedback stabilizability in switched linear systems. In Proceedings of the 2008 American Control Conference (pp. 4647–4653). Seattle, WA: IEEE.
- Najson, F. (2009). State-feedback stabilizability in switched homogeneous systems. In Proceedings of the 2009 American Control Conference (pp. 3011–3018). St. Louis, MO: IEEE.
- Najson, F. (2011). State-feedback stabilizability, optimality, and convexity in switched positive linear systems. In Proceedings of the 2011 American Control Conference (pp. 2625–2632). San Francisco, CA: IEEE.
- Najson, F. (2014a). A Lagrange duality approach to state-feedback stabilisability in switched positive linear systems. International Journal of Control, 88(1), 138–154.
- Najson, F. (2014b). State-feedback stabilizability characterization for switched positive linear systems via Lagrange duality. In Proceedings of the 2014 American Control Conference (pp. 2631–2637). Portland, OR: IEEE.
- Rantzer, A. (2006). Relaxed dynamic programming in switching systems. IEE Proceedings - Control Theory and Applications, 153(5), 567–574.
- Savkin, A.V., & Evans, R.J. (2002). Hybrid dynamical systems: Controller and sensor switching problems. Boston, MA: Birkhäuser.
- Shorten, R.N., Wirth, F., & Leith, D. (2006). A positive systems model of TCP-like congestion control: Asymptotic results. IEEE Transactions on Networking, 14(3), 616–629.
- Shorten, R.N., Wirth, F., Mason, O., Wulff, K., & King, C. (2007). Stability criteria for switched and hybrid systems. SIAM Review, 49(4), 545–592.
- Sun, Z., & Ge, S.S. (2005). Switched linear systems: Control and design. London: Springer-Verlag.
- Sun, Z., & Ge, S.S. (2011). Stability theory of switched dynamical systems. London: Springer-Verlag.
- van der Schaft, A., & Schumacher, H. (2000). An introduction to hybrid dynamical systems. New York, NY: Springer-Verlag.