A dynamical symmetry is employed to determine the structure of quantum non-Markovian time-local master equation. Such a composed from two components: scalar kinetic coefficients and standard Markovian operator form. The are generally time-dependent incorporate information on kinematics memory effects, while operators manifest symmetry. Specifically, we focus time-translation symmetric dynamics,...

This work deals with the exponential stabilization problem of discrete-time Markovian jump systems via a hybrid control strategy, in which the transition probability matrix and static output-feedback controller are designed simultaneously. A necessary and sufficient condition for the existence of an exponential stabilizing transition probability matrix is derived by means of a mode-dependent pa...

The hybrid joints of manipulators can be switched to either active actuated or passive underactuated mode as needed. Consider the property of hybrid joints, the system switches stochastically between active and passive systems, and the dynamics of the jump system cannot stay on each trajectory errors region of subsystems forever; therefore, it is difficult to determine whether the closed-loop s...

This paper studies the static output-feedback (SOF) stabilization problem for discrete-time Markovian jump systems from a novel perspective. The closed-loop system is represented in a system augmentation form, in which input and gain-output matrices are separated. By virtue of the system augmentation, a novel necessary and sufficient condition for the existence of desired controllers is establi...