This paper examines the problem of designing a robust H∞ state-feedback controller for a class of nonlinear two-time scale systems with Markovian Jumps described by a Takagi-Sugeno (TS) fuzzy model. Based on a linear matrix inequality (LMI) approach, LMI-based sufficient conditions for the uncertain Markovian jump nonlinear two-time scale systems to have an H∞ performance are derived. The propo...

A state estimator design is described for discrete time systems having observably intermittent measurements. A stationary Markov process is used to model probabilistic measurement losses. The stationarity of the Markov process suggests an analagous stationary estimator design related to the Markov states. A precomputable time-varying state estimator is proposed as an alternative to Kalman’s opt...

Quantum open systems are described in the Markovian limit by master equations in Lindblad form. I argue that common “quantum jumps” techniques, which solve the master equation by unraveling its evolution into stochastic trajectories in Hilbert space, correspond closely to a particular set of decoherent histories. This is illustrated by a simple model of a photon counting experiment. Recently a ...

We consider Markovian open quantum systems subject to stochastic resetting, which means that the dissipative time evolution is reset at randomly distributed times initial state. show ensuing dynamics non-Markovian and has form of a generalized Lindblad equation. Interestingly, statistics quantum-jumps can be exactly derived. This achieved by combining techniques from thermodynamics quantum-jump...