In this paper, the realization of diagonal dominance in an uncertain system is discussed. First, the sufficient and necessary conditions are formulated for a deterministic system to realize diagonal dominance. Secondl...In this paper, the realization of diagonal dominance in an uncertain system is discussed. First, the sufficient and necessary conditions are formulated for a deterministic system to realize diagonal dominance. Secondly, the conditions for realizing robust diagonal dominance in the system where exist perturbation are given. Finally, an illustrative example is provided to demonstrate the effectiveness of this method.展开更多
We present here a stability condition and its verification method for the time\|invariant nonlinear system. This stability condition is based on the small gain theorem in regard to L\-2 gain, and its verification ...We present here a stability condition and its verification method for the time\|invariant nonlinear system. This stability condition is based on the small gain theorem in regard to L\-2 gain, and its verification method is described by the Nyquist criterion and the modified M\|circle set(alike to Popov’s criterion). In order to verify the above system stability, we assume the system nonlinear part as a non\|linear subsystem with a free parameter q≥0, and focus on the change of some peak value of the relative position between the vector locus of the open loop frequency response characteristic and the modified M\|circle set, which may be available for stability analysis and robust design of the control system.展开更多
文摘In this paper, the realization of diagonal dominance in an uncertain system is discussed. First, the sufficient and necessary conditions are formulated for a deterministic system to realize diagonal dominance. Secondly, the conditions for realizing robust diagonal dominance in the system where exist perturbation are given. Finally, an illustrative example is provided to demonstrate the effectiveness of this method.
文摘We present here a stability condition and its verification method for the time\|invariant nonlinear system. This stability condition is based on the small gain theorem in regard to L\-2 gain, and its verification method is described by the Nyquist criterion and the modified M\|circle set(alike to Popov’s criterion). In order to verify the above system stability, we assume the system nonlinear part as a non\|linear subsystem with a free parameter q≥0, and focus on the change of some peak value of the relative position between the vector locus of the open loop frequency response characteristic and the modified M\|circle set, which may be available for stability analysis and robust design of the control system.
