A display apparatus comprising: a communication interface configured to be wirelessly connected to at least one of a first access point and a portable device; and a processor configured to receive device information of the portable device, which comprises first information about a wireless connection between the portable device and the first access point or a second access point and second information about whether the portable device supports a real simultaneous dual band (RSDB) connection, from the portable device, acquire device information of the display apparatus, which includes third information about a wireless connection between the display apparatus and the first access point and fourth information about whether the display apparatus supports a RSDB connection, determine a peer-to-peer (P2P) operating channel between the display apparatus and the portable device based on the first information and the third information, and control the display apparatus to connect the display apparatus to the portable device through the determined P2P operating channel, characterized in that processor is further configured to: identify whether the display apparatus and the portable device support a RSDB connection based on the second information and the fourth information, and determine the peer-to-peer (P2P) operating channel between the display apparatus and the portable device further based on the identification whether the display apparatus and the portable device support the RSDB connection. a communication interface configured to be wirelessly connected to at least one of a first access point and a portable device; and a processor configured to receive device information of the portable device, which comprises first information about a wireless connection between the portable device and the first access point or a second access point and second information about whether the portable device supports a real simultaneous dual band (RSDB) connection, from the portable device, acquire device information of the display apparatus, which includes third information about a wireless connection between the display apparatus and the first access point and fourth information about whether the display apparatus supports a RSDB connection, determine a peer-to-peer (P2P) operating channel between the display apparatus and the portable device based on the first information and the third information, and control the display apparatus to connect the display apparatus to the portable device through the determined P2P operating channel, characterized in that processor is further configured to: identify whether the display apparatus and the portable device support a RSDB connection based on the second information and the fourth information, and determine the peer-to-peer (P2P) operating channel between the display apparatus and the portable device further based on the identification whether the display apparatus and the portable device support the RSDB connection. identify whether the display apparatus and the portable device support a RSDB connection based on the second information and the fourth information, and determine the peer-to-peer (P2P) operating channel between the display apparatus and the portable device further based on the identification whether the display apparatus and the portable device support the RSDB connection.