馬氏跳變系統的穩定性分析（英文版）

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Markovian jump systems typically consist of a finite number of subsystems and a jumping law governing the active/deactivate mode switches among these subsystems.The subsystems are usually modeled as differentialdifference equations,and the jumping law is a continuous-time/discrete-time Markov chain.Markovian jump systems are a powerful modeling tool in many engineering areas.For instance, abrupt changes are often seen in practical systems,due to the abrupt environmental disturbances, the component and interconnection failures, the abrupt changes of the operation point for the nonlinear plant，etc.The system can be modeled as having different dynamics before and after the abrupt changes,and the changes are usually memoryless and thus Markovian，hence resulting in a Markovian jump system.Indeed，Markovian jump systems can often be seen in the study of networked control systems,circuit and power systems,flight control systems,robotic systems, and so on,where the stability analysis，tracking，fault-tolerant control，etc.，have been extensively discussed.However，the theoretical development of Markovian jump systems has its own challenges，mainly due to the exclusive Markovian jumping law.It is well-known that the whole system can still be unstable even if all the subsystems are stable，while the whole system can be stable even if all th subsystems are unstable.Furthermore,the existence of random noises，delays,nonlinearity,modeling error and disturbance,robust stability，Ho control and filtering，adaptive control，practical stability and optimal control，etc. are also important topics in Markovian jump systems.

馬氏跳變系統的穩定性分析（英文版）

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