A hybrid motor vehicle comprising: a drive system which comprises at least a first drive motor, which is constructed as an internal combustion engine; an electric auxiliary compressor, which influences the operating state of the internal combustion engine and thereby the driveability of the hybrid motor vehicle and which has at least one adjustable actuating variable; at least a first sensor device, which is provided in order to detect at least one vehicle-related state parameter and / or at least one surroundings-related state parameter and / or at least one environment-related state parameter and in order to make available a data value representing this state parameter; at least one actuating device which is provided in order to adjust at least one of the adjustable actuating variables of the electric auxiliary compressor; and a control device which is set up to process the data values of the first sensor device and to transmit a signal to the actuating device in order to cause the latter to adjust the at least one of the adjustable actuating variable of the electric auxiliary compressor, in order thereby to influence the operating state of the internal combustion engine with regard to changes in one or more vehicle-related parameter or parameters with regard to acceleration, release of the accelerator, braking, jerk oscillations and / or oscillations during gear changes, and the like of the hybrid motor vehicle, wherein the control device is provided in order to calculate a prediction of the behaviour of the vehicle from said at least one vehicle-related state parameter and / or said at least one surroundings-related state parameter and / or said at least one environment-related state parameter and in order to derive therefrom a control value or a control data set for controlling this at least one actuating device, wherein the control device specifies the development of a target value of the actuating variable over time and wherein the development of the target value of the actuating variable over time is continuous. a drive system which comprises at least a first drive motor, which is constructed as an internal combustion engine; an electric auxiliary compressor, which influences the operating state of the internal combustion engine and thereby the driveability of the hybrid motor vehicle and which has at least one adjustable actuating variable; at least a first sensor device, which is provided in order to detect at least one vehicle-related state parameter and / or at least one surroundings-related state parameter and / or at least one environment-related state parameter and in order to make available a data value representing this state parameter; at least one actuating device which is provided in order to adjust at least one of the adjustable actuating variables of the electric auxiliary compressor; and a control device which is set up to process the data values of the first sensor device and to transmit a signal to the actuating device in order to cause the latter to adjust the at least one of the adjustable actuating variable of the electric auxiliary compressor, in order thereby to influence the operating state of the internal combustion engine with regard to changes in one or more vehicle-related parameter or parameters with regard to acceleration, release of the accelerator, braking, jerk oscillations and / or oscillations during gear changes, and the like of the hybrid motor vehicle, wherein the control device is provided in order to calculate a prediction of the behaviour of the vehicle from said at least one vehicle-related state parameter and / or said at least one surroundings-related state parameter and / or said at least one environment-related state parameter and in order to derive therefrom a control value or a control data set for controlling this at least one actuating device, wherein the control device specifies the development of a target value of the actuating variable over time and wherein the development of the target value of the actuating variable over time is continuous.