Abstract: Systems and methods provide for the evaluation of flight controls for an aerial vehicle and define a vehicle dynamics model corresponding to an aerial vehicle. One or more barrier functions are constructed based on the defined vehicle dynamics model, and candidate invariant sets are identified for the defined vehicle dynamics model using the one or more barrier functions. A plurality of flight controls of the aerial vehicle are analyzed using the identified candidate invariant sets and within the analyzed candidate invariant sets, command tracking of the aerial vehicle is confirmed with control commands, using the analyzed plurality of flight controls. Control commands falling outside of the analyzed candidate invariant sets are identified.

Abstract: Example methods and systems for mapping network service and/or application dependencies are provided. Some examples may visualize a large, complex network of network services and/or applications (e.g., Internet services and applications) and their dependencies over time. Each service (or application) may be represented as a node and the visualization may present information regarding the relationships among services and/or applications using directed edges (or lines) with varying thickness, colors, and/or line-styles depending on network data.

Abstract: A method and apparatus for discovering service dependencies. A plurality of connections is identified between nodes in a data network. A set of connection pairs is identified based on the plurality of connections identified. A set of time series is created for the set of connection pairs using monitoring data received from a plurality of sensors monitoring the data network. Service dependencies may be discovered using the set of time series.

Abstract: Example methods and systems for mapping network service and/or application dependencies are provided. Some examples may visualize a large, complex network of network services and/or applications (e.g., Internet services and applications) and their dependencies over time. Each service (or application) may be represented as a node and the visualization may present information regarding the relationships among services and/or applications using directed edges (or lines) with varying thickness, colors, and/or line-styles depending on network data.

Abstract: A method and apparatus for discovering service dependencies. A plurality of connections is identified between nodes in a data network. A set of connection pairs is identified based on the plurality of connections identified. A set of time series is created for the set of connection pairs using monitoring data received from a plurality of sensors monitoring the data network. Service dependencies may be discovered using the set of time series.