Monitoring disposition for monitoring individuals in surfaces supporting individuals, whereby said monitoring disposition comprises: - a textile material support presenting a top part (21, 22) adapted for covering at least part of the upwards-oriented surface of an object that is adapted for support of individuals; - a conducting textiles disposition comprising a plurality of conducting textiles (31, 32) associated with said textile material support; - a control device provided in energy conducting connection with said conducting textile disposition and with an energy source, whereby said textile material support presents a top part (21, 22) that comprises at least part of said conducting textile disposition, whereby said textile material support presents an at least partially closed general configuration of box type that can collect at least partially said object inside thereof, characterized in that the energy conducting connection between said conducting textile disposition and said control device, comprises: - first connection means adapted for conducting connection of a first or second ends of said conducting textiles disposition; - an energy conducting disposition adapted for connection of said first connection means to second connection means; - second connection means adapted for conducting connection of said energy conduction disposition to said control device, whereby both of said first and second connection means (4, 6) are provided as pieces comprising respective conducting metallic part, and said first connection means are adapted so that they can be fixed to said conducting textiles (31, 32) by means of a clamping/ compression type connection, and in that said control device, energy source and all the electric connections between said control device and said conducting textiles disposition are retained on said textile material support, and are provided inside of the confinement provided by said textile material support, so that the placement of said textile material support upon said object does not require establishing any electric connection, and the removal of said textile material support does not require disconnecting any electric connection. - a textile material support presenting a top part (21, 22) adapted for covering at least part of the upwards-oriented surface of an object that is adapted for support of individuals; - a conducting textiles disposition comprising a plurality of conducting textiles (31, 32) associated with said textile material support; - a control device provided in energy conducting connection with said conducting textile disposition and with an energy source, whereby said textile material support presents a top part (21, 22) that comprises at least part of said conducting textile disposition, whereby said textile material support presents an at least partially closed general configuration of box type that can collect at least partially said object inside thereof, characterized in that the energy conducting connection between said conducting textile disposition and said control device, comprises: - first connection means adapted for conducting connection of a first or second ends of said conducting textiles disposition; - an energy conducting disposition adapted for connection of said first connection means to second connection means; - second connection means adapted for conducting connection of said energy conduction disposition to said control device, - first connection means adapted for conducting connection of a first or second ends of said conducting textiles disposition; - an energy conducting disposition adapted for connection of said first connection means to second connection means; - second connection means adapted for conducting connection of said energy conduction disposition to said control device, whereby both of said first and second connection means (4, 6) are provided as pieces comprising respective conducting metallic part, and said first connection means are adapted so that they can be fixed to said conducting textiles (31, 32) by means of a clamping/ compression type connection, and in that said control device, energy source and all the electric connections between said control device and said conducting textiles disposition are retained on said textile material support, and are provided inside of the confinement provided by said textile material support, so that the placement of said textile material support upon said object does not require establishing any electric connection, and the removal of said textile material support does not require disconnecting any electric connection.