In　this　paper,　a　novel　hyperchaotic　system　is　investigated　by　introducing　an　different　additional　state　feedback　into　a　modified　Lorenz-like　chaotic　system.　Based　on　the　rigorous　Lyapunov　stability　theory,　an　adaptive　feedback　control　scheme　is　designed　to　control　this　hyperchaotic　system　with　unknown　parameters　stable　at　only　equilibrium　point.　Through　Lyapunov　synthesis,　the　closed-loop　control　system　is　proved　to　be　uniformly　bounded,　and　the　signals　of　system　converges　to　zero.　Simulation　results　are　provided　to　illustrate　the　performance　of　the　proposed　approach.