References
- Chen, W.-H., Chen, F., & Lu, X. (2010). Exponential stability of a class of singularly perturbed stochastic time-delay systems with impulse effect. Nonlinear Analysis: Real World Applications, 11, 3463–3478.
- Chen, W.-H., Yang, S.-T., Lu, X., & Shen, Y. (2010). Exponential stability and exponential stabilisation of singularly perturbed stochastic systems with time-varying delay. International Journal of Robust and Nonlinear Control, 20, 2021–2044.
- Chen, W.-H., & Zheng, W.X. (2007). Robust stabilization of delayed Markovian jump systems subject to parametric uncertainties. In Proceedings of the 46th IEEE Conference on Decision and Control (pp. 3054–3059). New Orleans, LA.
- Chen, W.-H., & Zheng, W.X. (2011). Input-to-state stability for networked control systems via an improved impulsive system approach. Automatica, 47, 789–796.
- Christofides, P.D., & Tee1, A.R. (1996). Singular perturbations and input-to-state stability. IEEE Transactions on Automatic Control, 41, 1645–1650.
- Corless, M., & Glielmo, L. (1992). On the exponential stability of singularly perturbed systems. SIAM Journal of Control and Optimization, 30, 1338–1360.
- Fridman, E. (2002a). Effects of small delays on stability of singularly perturbed systems. Automatica, 38, 897–902.
- Fridman, E. (2002b). Stability of singularly perturbed differential-differences systems: A LMI approach. Dynamics of Continuous, Discrete and Impulsive Systems, Series B: Applications & Algorithms, 9, 201–212.
- Fridman, E. (2006). Robust sampled-data H∞ control of linear singularly perturbed systems. IEEE Transactions on Automatic Control, 51, 470–475.
- Fridman, E. (2010). A refined input delay approach to sampled-data control. Automatica, 46, 421–427.
- Fridman, E., Seuret, A., & Richard, J.-P. (2004). Robust sampled-data stabilization of linear systems: An input delay approach. Automatica, 40, 1441–1446.
- Fridman, E., & Shaked, U. (2005). Input-output approach to stability and L2-gain analysis of systems with time-varying delays. System & Control Letters, 55, 1041–1053.
- Gao, H., Sun, W., & Shi, P. (2010). Robust sampled-data H∞ control for vehicle active suspension systems. IEEE Transactions on Control Systems Technology, 18, 238–245.
- Gao, H., Wu, J., & Shi, P. (2009). Robust sampled-data H∞ control with stochastic sampling. Automatica, 45, 1729–1736.
- Garcia, G., Daafouz, J., & Bernussou, J. (2002). The infinite time near optimal decentralized regulator problem for singularly perturbed systems: A convex optimization approach. Automatica, 38, 1397–1406.
- Glizer, V.Y. (2007). Infinite horizon quadratic control of linear singularly perturbed systems with small state delays: An asymptotic solution of Riccati-type equations. IMA Journal of Mathematical Control and Information, 24, 435–459.
- Grammel, G. (2005). Exponential stability of nonlinear singularly perturbed equations. SIAM Journal of Control and Optimization, 44, 1712–1724.
- Gu, K., Kharitonov, V., & Chen, J. (2003). Stability of time-delay systems. Boston, MA: Birkhauser.
- Hu, L., Bai, T., Shi, P., & Wu, Z. (2007). Sampled-data control of networked linear control systems. Automatica, 43, 903–911.
- Kokotović, P., Khalil, H.K., & O’Reilly, J. (1986). Singular perturbation methods in control: Analysis and design. Philadelphia, PA: SIAM.
- Mao, Z., Jiang, B., & Shi, P. (2010). Fault-tolerant control for a class of nonlinear sampled-data systems via Euler approximate observer. Automatica, 46, 1852–1859.
- Meyer-Bäse, A., Roberts, R., & Yu, H.G. (2007). Robust stability analysis of competitive neural networks with different time-scales under perturbations. Neurocomputing, 71, 417–420.
- Mirkin, L. (2007). Some remarks on the use of time-varying delay to model sample-and-hold circuits. IEEE Transactions on Automatic Control, 52, 1109–1112.
- Naghshtabrizi, P., Hespanha, J.P., & Teel, A.R. (2008). Exponential stability of impulsive systems with application to uncertain sampled-data systems. System & Control Letters, 57, 378–385.
- Naidu, D.S. (2002). Singular perturbations and time scales in control theory and applications: An overview. Dynamics of Continuous, Discrete and Impulsive Systems, Series B: Applications & Algorithms, 9, 233–278.
- Pan, Z., & Basar, T. (1994). H∞ optimal control for singularly perturbed systems with sampled state measurements. In T. Basar & A. Haurie (Eds.), Advances in dynamic games and applications (Vol. 1, pp. 23–55). Boston, MA: Birkhaüser.
- Retchkiman, Z., & Silva, G. (1996). Stability analysis of singularly perturbed systems via vector Lyapunov methods. In Proceedings of the 35th IEEE Conference on Decision and Control (pp. 580–585). Kobe, Japan.
- Saberi, A., & Khalil, H.K. (1984). Quadratic-type Lyapunov functions for singularly perturbed systems. IEEE Transactions on Automatic Control, 29, 542–550.
- Seuret, A. (2009). Stability analysis for sampled-data systems with a time-varying period. In Proceedings of Joint 48th IEEE Conference on Decision Control and 28th Chinese Control Conference (pp. 8130–8135). Shanghai, China.
- Seuret, A. (2010). Exponential stability and stabilization of sampled-data systems with time-varying period. In Proceedings of the 9th IFAC Workshop on Time Delay Systems (pp. 301–306). Prague, Czech.
- Shao, Z.H. (2004). Robust stability of two-time-scale systems with nonlinear uncertainties. IEEE Transactions on Automatic Control, 49, 258–261.
- Socha, L. (2000). Exponential stability of singularly perturbed stochastic systems. IEEE Transactions on Automatic Control, 45, 576–580.
- Yin, S., Ding, S.X., Haghani, A., Hao, H., & Zhang, P. (2012). A comparison study of basic data-driven fault diagnosis and process monitoring methods on the benchmark Tennessee Eastman process. Journal of Process Control, 22, 1567–1581.
- Yin, S., Luo, H., & Ding, S.X. (2013). Real-time implementation of fault-tolerant control systems with performance optimization. IEEE Transactions on Industrial Electronics, 61, 2402–2411.