Systems and methods for improving fuel injection of an engine that includes a cylinder receiving fuel from a direct fuel injector are disclosed. In one example, a transfer function or gain of a direct fuel injector is adjusted in response to an exhaust lambda value and a first pulse width of two pulse widths provided to an injector of a cylinder during a cylinder cycle.

Systems and methods for improving fuel injection of an engine that includes a cylinder receiving fuel from a direct fuel injector are disclosed. In one example, a transfer function or gain of a direct fuel injector is adjusted in response to an exhaust lambda value and a first pulse width of two pulse widths provided to an injector of a cylinder during a cylinder cycle.

A circuit configuration for a data processing system for predicting a coordinate for at least one operation to be carried out is provided, the prediction being connected to at least one input signal and being a function of a predefined first time value and at least one predefined first value which represents another physical variable. Upon each change of the at least one input signal, a second time value is calculated in each case from the first value, and to subtract the first time value from the second time value to form a third time value, and/or to calculate a second value from the first time value, and to subtract the first value from the second value to form a third value, in order to determine from the third time value and/or the third value a state in which the at least one operation is to be carried out.

A circuit configuration for a data processing system for predicting a coordinate for at least one operation to be carried out is provided, the prediction being connected to at least one input signal and being a function of a predefined first time value and at least one predefined first value which represents another physical variable. Upon each change of the at least one input signal, a second time value is calculated in each case from the first value, and to subtract the first time value from the second time value to form a third time value, and/or to calculate a second value from the first time value, and to subtract the first value from the second value to form a third value, in order to determine from the third time value and/or the third value a state in which the at least one operation is to be carried out.

A vehicle includes an engine, a generator, a drive motor, and a filter that collects particulate matter in exhaust gas of the engine. The generator is driven by the engine to generate power. The drive motor is driven with the power generated by the generator. A method for controlling the vehicle includes performing motoring by driving the engine in an operation stop state with the generator, thereby performing fuel cut of the engine and consuming power; prohibiting fuel cut of the engine based on a temperature of the filter; and when a discharge request is made while the fuel cut of the engine is prohibited, performing a power consumption operation in which a negative engine torque is generated in the engine by driving the engine with the generator while performing combustion in the engine.