- ▪R.T. Bumby, E.D. Sontag, "Stabilization of polynomially parametrized families of linear systems. The single-input case", Systems Control Lett., vol. 3, no. 5, pp. 251–254, 1983. pdf
Abstract
Given a continuous-time family of finite dimensional single input linear systems, parametrized polynomially, such that each of the systems in the family is controllable, there exists a polynomially parametrized control law making each of the systems in the family stable.
- ▪E.D. Sontag, "A Lyapunov-like characterization of asymptotic controllability", SIAM J. Control Optim., vol. 21, no. 3, pp. 462–471, 1983. pdf
Abstract
It is shown that a control system in Rn is asymptotically controllable to the origin if and only if there exists a positive definite continuous functional of the states whose derivative can be made negative by appropriate choices of controls.
- ▪E.D. Sontag, "Further remarks preservation of accessibility under sampling", In Proc.\ Johns Hopkins Conf.\ on Info.\ Sci.\ and Systems, 1983, pp. 326–332, 1983.
- ▪E.D. Sontag, "Remarks on the preservation of various controllability properties under sampling", In Mathematical tools and models for control, systems analysis and signal processing, Vol. 3 (Toulouse/Paris, 1981/1982), pp. 623–637, 1983. pdf
Abstract
This note studies the preservation of controllability (and other properties) under sampling of a nonlinear system. More detailed results are obtained in the cases of analytic systems and of systems with finite dimensional Lie algebras.