Stability Of 2d Systems
نویسنده
چکیده
This chapter deals with the formulation of stability theory for two-dimensional dynamical systems, by generalizing the concepts used in the classical one-dimensional case. Both the input-output description and different forms of state-space representation are considered, leading to the definition of bounded-input bounded-output stability and asymptotic stability, with a discussion of the relationship between them. Necessary and sufficient conditions for stability are given, using functions of two complex variables, and the Nyquist stability criterion for feedback systems is extended to the twodimensional case. Most of the analysis refers to systems where both independent variables, corresponding to the two dimensions, are discrete, but the cases of discretecontinuous and doubly continuous systems are also addressed. Finally, some application areas are discussed, specifically in compartmental modeling and iterative learning control.
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