Antibacterial aminoglycoside analogs

A compound having the following structure (I):

• or a stereoisomer, or a pharmaceutically acceptable salt thereof,
• wherein:
• Q1 is hydrogen;
• Q2 is hydrogen, optionally substituted aryl, optionally substituted aralkyl, optionally substituted cycloalkyl, optionally substituted cycloalkylalkyl, optionally substituted heterocyclyl, optionally substituted heterocyclylalkyl, optionally substituted heteroaryl, optionally substituted heteroarylalkyl, —C(═NH)NR4R5, —(CR10R11)pR12,
• Q3 is hydrogen, optionally substituted aryl, optionally substituted aralkyl, optionally substituted cycloalkyl, optionally substituted cycloalkylalkyl, optionally substituted heterocyclyl, optionally substituted heterocyclylalkyl, optionally substituted heteroaryl, optionally substituted heteroarylalkyl, —C(═NH)NR4R5, —(CR10R11)pR12,
• each R1, R2, R3, R4, R5, R8 and R10 is, independently, hydrogen or C1-C6 alkyl, or R1 and R2 together with the atoms to which they are attached can form a heterocyclic ring having from 4 to 6 ring atoms, or R2 and R3 together with the atoms to which they are attached can form a heterocyclic ring having from 4 to 6 ring atoms, or R1 and R3 together with the atoms to which they are attached can form a carbocyclic ring having from 4 to 6 ring atoms, or R4 and R5 together with the atom to which they are attached can form a heterocyclic ring having from 4 to 6 ring atoms;
• each R6 and R7 is, independently, hydrogen, hydroxyl, amino or C1-C6 alkyl, or R6 and R7 together with the atoms to which they are attached can form a heterocyclic ring having from 4 to 6 ring atoms;
• each R9 is, independently, hydrogen or methyl;
• each R11 is, independently, hydrogen, hydroxyl, amino or C1-C6 alkyl;
• each R12 is, independently, hydroxyl or amino;
• each n is, independently, an integer from 0 to 4;
• each m is, independently, an integer from 0 to 4;
• and
• each p is, independently, an integer from 1 to 5, and
• wherein at least one of Q2 and Q3 is —C(═NH)NR4R5.