Time-Domain Stab巡tyAnalysis on Multivariable Nonlinear Control Systems

In this paper an extention for Haddad's method. which is the time-domain stability analysis on scalar nonlinear control systems，to multivariable nonlinear control systems are proposed and two BIBO stability criteria and two global asymptotic stability criteria on them are presented by using boundedness and asymptoticity for solutions to the set of nonlinear inequalities with respect to characteristic quantities such as the quadrant components in multi-dimensional input-output space ofa nonlinear controller, positive or negative areas of an impulse response function for a linear control object, and ultimate positive or negative bounds for input signals