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The paper deals with polyhedral estimates for reachable tubes of differential systems with a multiplicative uncertainty, namely linear systems with set-valued uncertainties in initial states, additive inputs and coefficients of the system. We present nonlinear parametrized systems of ordinary differential equations (ODE) which describe the evolution of the… (More)
Problems of feedback target control for linear and bilinear dynamical discrete-time systems under uncertainties and state constraints are considered. There are known approaches to solving problems of this kind, including ones for differential systems, based on construction of solvability tubes (Krasovskii’s bridges). Since practical construction of such… (More)
The paper describes the properties of boundedness and unboundedness of outer polyhedral (parallelepiped-valued) estimates for reachable sets of linear differential systems with stable matrices over the infinite time interval. New results concerning tight estimates are presented.