On controllability problem with amplitude uncertainty
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In this paper, a discrete dynamical system with amplitude uncertainty is considered as an object of interval analysis of the classical interval arithmetic. Within this framework, it is possible to obtain an exact interval analogue of the Cauchy formula for non-negative interval coefficients of the system and to formulate a criterion for non-negative controllability. For arbitrary coefficients of the system, classical interval arithmetic gives an approximate Cauchy formula and, in the final analysis, allows one to obtain sufficient controllability conditions.
Abstract
In this paper, a discrete dynamical system with amplitude uncertainty is considered as an object of interval analysis of the classical interval arithmetic. Within this framework, it is possible to obtain an exact interval analogue of the Cauchy formula for non-negative interval coefficients of the system and to formulate a criterion for non-negative controllability. For arbitrary coefficients of the system, classical interval arithmetic gives an approximate Cauchy formula and, in the final analysis, allows one to obtain sufficient controllability conditions.
참고문헌 (17)
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