离散时延系统的鲁棒稳定性和镇定问题

文章研究了切换线性离散时间系统的鲁棒稳定性和镇定问题．在研究中参数不确定性是时变的但是范数有界的，并且假设时延是时变的和有界的，这包含了常数时延和模型依赖常数时延这些特殊情形．首先，得到一个保证不确定系统稳定的充分条件．其次，设计了一个能够保证所得的闭环系统对所有允许的不确定性是稳定的控制率．提出一个线性矩阵不等式方法和一个锥补线性化算法来解决上面所提的问题．给出一个数值例子来说明所得理论的潜在应用．

Robust Stability and Stabilization Problem of Discrete Time Delay Switched Systems

To study the robust stability and stabilization problem for switching linear dis- crete-time systems. In the study parameter uncertainty is time-varying norm bounded, and assume that the delay is the time-varying and bounded, which contains a constant delay and model-de- pendent constant delay these special circumstances. First,a sufficient condition to ensure the sta- bility of the uncertain systems. Secondly,the design of a guarantee from the closed-loop system is stable for all admissible uncertainties control rate. Proposed a linear matrix inequality and a cone complementarity linearization algorithm to solve the above mentioned problems. A numerical ex- ample is given to illustrate the potential applications of the theory obtained.