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Published in:
2012 | OriginalPaper | Chapter
On Controllability of Linear Systems with Jumps in Parameters
Authors : Adam Czornik, Aleksander Nawrat
Published in: Internet - Technical Developments and Applications 2
Publisher: Springer Berlin Heidelberg
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In this paper we discuss different types of controllability of jump linear systems. We start with the weakest of the concepts of controllability for jump linear system namely the problem of controllability of the expectation of the final state. The main result of this section gives a necessary and sufficient condition for this type of controllability. Next we consider the possibility of reaching any deterministic target value from given deterministic initial condition in given time with prescribed probability. We have also investigated several variations of this problem such as: the case when the target or initial condition are zero and the case when we want to achieve only certain neighborhood of the target. Part of our results are devoted to the special cases of stochastic controllability. We also consider the concepts of controllability when the time of achieving the target value can be a random variable. Finally we discuss the relationships between the introduced types of controllability.