Risk-Sensitive Mean-Field Type Control under Partial Observation

A Mean-field Stochastic Control Problem with Partial Observations∗

In this paper we are interested in a new type of mean-field-type, non-Markovian stochastic control problems with partial observations. More precisely, we assume that the coefficients of the controlled dynamics depend not only on the paths of the state, but also on the conditional law of the state, given the observation to date. Our problem is strongly motivated by the recent study of the mean f...

Risk-Sensitive Mean-Field Stochastic Differential Games

In this paper, we study a class of risk-sensitive mean-field stochastic differential games. Under regularity assumptions, we use results from standard risk-sensitive differential game theory to show that the mean-field value of the exponentiated cost functional coincides with the value function of a Hamilton-Jacobi-Bellman-Fleming (HJBF) equation with an additional quadratic term. We provide an...

Partial Observation in Distributed Supervisory Control of Discrete-Event Systems

Distributed supervisory control is a method to synthesize local controllers in discrete-eventsystems with a systematic observation of the plant. Some works were reported on extending this methodby which local controllers are constructed so that observation properties are preserved from monolithic todistributed supervisory control, in an up-down approach. In this paper, we find circumstances in ...

Generalised Risk-Sensitive Control with Full and Partial State Observation

Comparison the Recurrence Rate of Intervertebral Disc Herniation in Two Surgical Methods of Hemi laminectomy and Partial Laminectomy

Background & Aims: Between 5% and 15% of patients with low back pain suffer from lumbar disc herniation, so intervertebral disc disease is one of the most common causes of low back pain. Surgical intervention for lumbar disc herniation is recommended in patients with severe symptoms and has hopeful results. Although surgery can reduce pain and improve physical function in the short term, its lo...