An air-conditioning system comprising: an air-conditioning remote controller; and an air-conditioning apparatus controlled in accordance with an instruction from the air-conditioning remote controller, wherein the air-conditioning remote controller includes an operation unit configured to generate an operation signal for operating the air-conditioning apparatus, a radiant energy measuring sensor configured to detect presence or absence of a person, a transmission/reception unit configured to transmit the operation signal to the air-conditioning apparatus and receive a signal from the air-conditioning apparatus, and a controller configured to control the radiant energy measuring sensor and the transmission/reception unit, wherein the operation unit includes a plurality of schedule-related operation parts configured to generate a schedule operation signal related to a schedule, wherein the radiant energy measuring sensor is configured to detect the presence or absence of a person and to generate a presence/absence detection signal representing a result of detection of the presence or absence of a person, wherein the controller is configured to transmit the schedule operation signal to the air-conditioning apparatus and to transmit the presence/absence detection signal to the air-conditioning apparatus, wherein the air-conditioning apparatus includes an air-conditioning control section configured to control an operation of the air-conditioning apparatus based on the schedule operation signal and the presence/absence detection signal, characterized in that when setting information regarding a schedule start time, a set temperature of the air-conditioning apparatus, and an operating state of the air-conditioning apparatus are input as the schedule, the schedule-related operation parts generate the schedule operation signal based on the setting information, and wherein the air-conditioning control section is configured to increase the set temperature of the air-conditioning apparatus in a stepwise manner with time, when the operating state of the air-conditioning apparatus is a cooling operation state based on the schedule operation signal and the presence/absence detection signal indicates the absence of a person, and to decrease the set temperature of the air-conditioning apparatus in a stepwise manner with time, when the operating state of the air-conditioning apparatus is a heating operation state based on the schedule operation signal and the presence/absence detection signal indicates the absence of a person. an air-conditioning remote controller; and an air-conditioning apparatus controlled in accordance with an instruction from the air-conditioning remote controller, wherein the air-conditioning remote controller includes an operation unit configured to generate an operation signal for operating the air-conditioning apparatus, a radiant energy measuring sensor configured to detect presence or absence of a person, a transmission/reception unit configured to transmit the operation signal to the air-conditioning apparatus and receive a signal from the air-conditioning apparatus, and a controller configured to control the radiant energy measuring sensor and the transmission/reception unit, wherein the operation unit includes a plurality of schedule-related operation parts configured to generate a schedule operation signal related to a schedule, wherein the radiant energy measuring sensor is configured to detect the presence or absence of a person and to generate a presence/absence detection signal representing a result of detection of the presence or absence of a person, wherein the controller is configured to transmit the schedule operation signal to the air-conditioning apparatus and to transmit the presence/absence detection signal to the air-conditioning apparatus, wherein the air-conditioning apparatus includes an air-conditioning control section configured to control an operation of the air-conditioning apparatus based on the schedule operation signal and the presence/absence detection signal, characterized in that when setting information regarding a schedule start time, a set temperature of the air-conditioning apparatus, and an operating state of the air-conditioning apparatus are input as the schedule, the schedule-related operation parts generate the schedule operation signal based on the setting information, and wherein the air-conditioning control section is configured to increase the set temperature of the air-conditioning apparatus in a stepwise manner with time, when the operating state of the air-conditioning apparatus is a cooling operation state based on the schedule operation signal and the presence/absence detection signal indicates the absence of a person, and to decrease the set temperature of the air-conditioning apparatus in a stepwise manner with time, when the operating state of the air-conditioning apparatus is a heating operation state based on the schedule operation signal and the presence/absence detection signal indicates the absence of a person.