Moment Observability for Linear Stochastic Impulsive Systems with Markovian Switching

This paper investigates the moment observability of the impulsive stochastic systems with Markov jump. By Kronecker product and \(\mathcal {H}\) -representation technique, it is shown that the moment observability of original system is equivalent to the observability of corresponding expanded deterministic impulsive system, then several moment observability criteria are established in terms of algebraic conditions. Finally, a numerical example is given to verify the validity of the obtained results.