The purpose of this paper is to derive conditions for absolute stability as well as existence of solutions for multivariable Lur’e-type feedback systems whose linear part is expressed by a descriptor system. The nonlinearities are uncertain and satisfy multivariable sector conditions, or a part of the nonlinearities satisfies a norm bounded condition. Thus, the systems can be refered to as mult...

this paper presents a robust controller design methodology for a class of linear uncertain multivariable systems with hard time-domain constraints on their outputs and control signals in response to step disturbance inputs. in this approach, the m×m mimo system is replaced by m2 siso systems and then, using the qft technique, desirable controllers are synthesized. the final controller will be d...

X iv :m at h/ 04 10 24 9v 1 [ m at h. C A ] 1 0 O ct 2 00 4 Some Systems of Multivariable Orthogonal Askey-Wilson Polynomials George Gasper* and Mizan Rahman† Abstract In 1991 Tratnik derived two systems of multivariable orthogonal Wilson polynomials and considered their limit cases. q-Analogues of these systems are derived, yielding systems of multivariable orthogonal Askey-Wilson polynomials ...

The major aim of this article is modeling of nonlinear systems with friction structure that, thismethod is essentially extended based on taylore expansion polynomial. So in this study, thetaylore expansion was extended in the generalized form for the differential equations of the statespaceform. The proposed structure is based on multi independent variables taylore extended.According to the pro...