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A set of population equations with feedback control is studied. By applying comparison theorem of differential equation and constructing a suitable Lyapunov function, sufficient conditions for the permanence, strictly positive (component wise), global asymptotic stability of the positive equilibrium point are obtained. Some new results are obtained.
A new design scheme of tracking control for a class of typical disequilibrium cobweb models is proposed in this paper. From the viewpoint of economic control theory , dynamic analysis method is used to study the stability of disequilibrium market containing the expected price, the controllability of the expected price and the tracking performance of the error between demand and supply. The design...
This paper treats the problem of estimating simultaneously the state and the unknown inputs of a class of nonlinear discrete-time systems. An observer design method for nonlinear Lipschitz discrete-time systems is proposed. By assuming that the linear part of this class of systems is time-varying, the state estimation problem of nonlinear system is transformed into a state estimation problem for LPV...
We establish stability results for a class of biological networks with different time-scales under parameter perturbations and determine conditions that ensure the existence of exponentially stable equilibria of the perturbed biological system. The perturbed system is modelled as nonlinear perturbations to a known nonlinear idealized system and is represented by two time-scale subsystems. We derive...
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