Finite-time H∞H∞ estimation for discrete-time Markov jump systems with time-varying transition probabilities subject to average dwell time switching

• The transition probabilities are varying but invariant within an interval.
• The system trajectory stays within a prescribed bound.
• The derived results can be turned into LMIs feasibility problem by fixing some parameters.

The time-varying character of transition probabilities is considered as finite piecewise homogeneous. This paper studies the problem of finite-time H∞H∞ estimation for a class of discrete-time Markov jump systems with time-varying transition probabilities subject to average dwell time switching, sufficient conditions ensuring the Markov jump systems to be finite-time bounded and H∞H∞ filtering finite-time boundness are established. Based on the results of finite-time boundness and average dwell time, the system trajectory stays within a prescribed bound. Finally, an example is provided to illustrate the usefulness and effectiveness of the proposed method.