On controllability of linear stochastic systems
Nazım I. Mahmudov
Abstract
Nazım I. Mahmudov
Abstract
Several concepts of controllability for partially observable stochastic systems (complete controllability, approximate controllability, controllability) are discussed. It is shown that complete and approximate controllability notions are equivalent, and in turn they are equivalent to the controllability for linear stochastic systems controlled with Gaussian processes. Necessary and sufficient conditions for these concepts of controllability are derived. These criteria reduce to the well known rank condition.
OpenAlex reports 4 citations for this work. Citation counts describe recorded attention and do not establish research quality.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
Several concepts of controllability for partially observable stochastic systems (complete controllability, approximate controllability, controllability) are discussed. It is shown that complete and approximate controllability notions are equivalent, and in turn they are equivalent to the controllability for linear stochastic systems controlled with Gaussian processes. Necessary and sufficient conditions for these concepts of controllability are derived. These criteria reduce to the well known rank condition.
Key concepts: Controllability, Network controllability, Controllability Gramian, Mathematics, Rank (graph theory), Gaussian, Observable, Linear system