Reachable sets of nonlinear control systems with state constraints and uncertainty and their estimates .
The state estimating problems for nonlinear control system with uncertainty in the initial data and parameters are studied. It is assumed that the matrix presented in differential equations of the control system is not exactly known, but belongs to the given compact set in the corresponding space. The right-hand sides of differential equations of a dynamical system may contain nonlinearities defined by functions quadratic in state coordinates. The emphasis in this paper is on the problem of estimating the states of such systems in the presence of additional state constraints. We describe here new approaches and algorithms allowing finding outer (external with respect to the operation of including sets) ellipsoidal estimates of reachable sets of studied nonlinear control system. The approaches and results presented here may be used in many applied areas, when
the description of the model contains uncertainty and nonlinearity.
CYBERNETICS AND PHYSICS, Vol. 6, No. 4, pp.179-184