Showing papers on "Autonomous system (mathematics) published in 1986"
TL;DR: In this paper, a system of two autonomous ordinary differential equations with two discrete time delays is considered, with a view to determining the stability of equilibria, using the Nyquist criterion on the characteristic equation, estimates on the length of delays are given for which a system which is stable in the absence of delays remains stable.
Abstract: A system of two autonomous ordinary differential equations with two discrete time delays is considered, with a view to determining the stability of equilibria. Using the Nyquist criterion on the characteristic equation, estimates on the length of delays are given for which a system which is stable in the absence of delays remains stable. Conditions are also derived for there to be no change in stability, even for unbounded delays. The above-mentioned criteria are applied to a system modeling competitive interacting populations, and to a predator-prey system.
52 citations
01 Jan 1986
TL;DR: An Intelligent Mobile Autonomous System (IMAS), which is equipped with vision and low level sensors to cope with unknown obstacles, is modeled as a hierarchy of decision making for motion planning and control.
Abstract: An Intelligent Mobile Autonomous System (IMAS), which is equipped with vision and low level sensors to cope with unknown obstacles, is modeled as a hierarchy of decision making for motion planning and control. The world description is based on linguistic variables that assume values from possible interval corresponds to the membership grade to a fuzzy set. The decision making is presented as a production system with a fuzzy database. The choice of optimal motion execution commands are performed using fuzzy set operators. Also included in the paper is the procedure of rule derivation and examples based on low level motion control.
15 citations
Proceedings Article•
08 Dec 1986
9 citations
TL;DR: This paper presents an interactive program about planar linear systems, which runs on a personal computer, and the concepts of phase space and stability of equilibrium are emphasized.
Abstract: Linear systems of ordinary differential equations are a basic topic in the mathematical background of an engineer. In this paper we present an interactive program about planar linear systems, which runs on a personal computer. In particular, the concepts of phase space and stability of equilibrium are emphasized.
3 citations
TL;DR: Caracterisation des classes de solutions generalisees d'equations differentielles algebriques autonomes is described in this paper, where the authors define a set of classes of solutions.
Abstract: Caracterisation des classes de solutions generalisees d'equations differentielles algebriques autonomes
2 citations
TL;DR: In this paper, sufficient conditions for the existence of a finite domain cf attraction of an unperturbed solution of an autonomous system with delay are obtained, and its lower estimate is given using a method which requires that only the Lyapunov function need be known for the system in question without delay.
TL;DR: A derivative autonomous nonlinear feedback system is suggested as a possible model for physical and biological oscillating systems.
Abstract: A derivative autonomous nonlinear feedback system is suggested as a possible model for physical and biological oscillating systems. Practical conditions for the existence and stability motion are derived.