NOVELTY - Secondary battery comprises: a cathode (21); an anode (22); and an electrolytic solution, where the anode contains at least one of titanium-containing lithium composite oxides (I)-(III) as an anode active material, and the electrolytic solution contains substituted cyclic disulfonic acid anhydrides (IV) and/or (V).    USE - The secondary battery is used in: an electronic device; an electric power tool; an electrical vehicle; and an electric power storage system (all claimed) e.g. a home battery system for storing electric power for emergency, where the electronic devices are a video camera, a digital still camera, a mobile phone, a notebook personal computer, a cordless phone, a headphone stereo, a portable radio, a portable television, a personal digital assistant, a lifestyle electric appliance (an electric shaver), a memory device (a backup power source and a memory card) and a medical electronic device (a pacemaker and a hearing aid), the electric power tool is an electric drill or an electric saw, and the electrical vehicle is an electric automobile.    ADVANTAGE - The secondary battery is capable of suppressing resistance rise even after repeated charge and discharge.    DETAILED DESCRIPTION - Secondary battery comprises: a cathode (21); an anode (22); and an electrolytic solution, where the anode contains at least one of titanium-containing lithium composite oxides of formula (Li(LixM1((1-3x)/2)Ti((3+x)/2))O4) (I), (Li(LiyM2(1-3y)Ti(1+2y))O4) (II) or (Li(Li(1/3)M3zTi((5/3)-z))O4) (III) as an anode active material, and the electrolytic solution contains substituted cyclic disulfonic acid anhydrides of formula (IV) and/or (V).    M1 = at least one of Mg, Ca, Cu, Zn or Sr;    x = 0 to 1/3;    M2 = at least one of Al, Sc, Cr, Mn, Fe, Ga or Y;    y = 0 to 1/3;    M3 = at least one of V, Zr or Nb;    z = 0 to 2/3; and    R1-R10 = 0-4C alkyl.    DESCRIPTION OF DRAWING(S) - The figure shows a cross sectional configuration of a secondary battery.    Battery can (11)    Insulating plates (12, 13)    Cathode (21)    Anode (22)    Separator (23)