This paper is concerned with the problem of asynchronous mode-dependent dissipative control for continuous-time semi-Markovian jump systems (S-MJSs), where the probability distribution functions of sojourn-time are established in a generic form to cover uncertainties that occur due to experimental limitations and errors. Further, based on a control-mode-dependent Lyapunov function, this paper proposes a robust control design method developed such that 1) the control system performance can be further improved compared to using system-mode-dependent Lyapunov functions, 2) the block size of stabilization conditions can be reduced, and 3) the non-convex terms combined with either positive or negative transition rates can be explicitly addressed. Finally, three illustrative examples are given to show the effectiveness of the proposed method.

本文关注的是连续时间半马尔可夫跳跃系统（S-MJSs）的异步模式相关耗散控制问题，其中以通用形式建立了隐居时间的概率分布函数，以涵盖由于不确定性而发生的不确定性。受实验限制和错误的影响。此外，基于与控制模式有关的Lyapunov函数，本文提出了一种鲁棒的控制设计方法，该方法设计为：1）与使用与系统模式有关的Lyapunov函数相比，可以进一步提高控制系统性能； 2）块大小可以减少稳定条件的数量，并且3）可以明确解决与正或负跃迁率结合的非凸项。最后，给出了三个说明性的例子来说明所提方法的有效性。