Showing papers on "Autonomous system (mathematics) published in 1987"

An explicit construction of a class of suspensions and autonomous differential equations for diffeomorphisms in the plane

Abstract: From a large class of diffeomorphisms in the plane, which are known to produce chaotic dynamics, we explicitly construct their continuous suspension on a three dimensional cylinder. This suspension is smooth (C1) and can be characterized by the choice of two smooth functions on the unit interval, which have to fulfill certain boundary conditions. For the case of entire Cremona transformations, we are able to construct the corresponding autonomous differential equations of the flow explicitly. Thus it is possible to relate properties of discrete maps to those of ordinary differential equations in a quantitative manner. Furthermore, our construction makes it possible to study the exact solutions of chaotic differential-equations directly.

A numerical analysis of the structure of periodic orbits in autonomous functional differential equations

Abstract: Understanding the structure of periodic solutions in nonlinear, autonomous functional differential equations is a problem that often arises when such equations are used in the mathematical modeling of “real-world” phenomena. Knowledge of the existence, stability, and parameter dependence of such periodic solutions provides valuable insight into the general dynamics of the system. Stable steady states and periodic orbits are of particular interest since they correspond to observable states in the system being modeled. However, unstable steady states and periodic orbits are of importance as well since (through variation of parameters in the model) these solutions can themselves change stability and therefore, become “observable”.

Intelligent Mobile Autonomous System

Abstract: : This report contributes to a new rapidly developing area of autonomous robotics Actual experience of dealing with autonomous robots (or rather, robots with some elements of autonomy) does not exceed just a couple of decades And yet, the pace of development is so quick that a number of highly ambitious programs is in progress at the Universities, industrial corporations, and multiple research centers These programs are focusing the effort of the scientists and engineers not only on the problem of autonomous mobility of robots, they are also premonishing the future stages of R&D such as coordination of the relatively autonomous subsystems of the mobile robot, cooperation among several autonomous mobile robots working for the same goal, etc Thus our results can be implemented in most of the contemporary systems which employ unmanned technology

Air defence threat assessment

Abstract: This chapter has described the approach taken in building an expert system for air defence threat assessment. The nature of this problem has required the development of a new programming language called BLOBS. A prototype version of the threat assessment expert system has been built using this framework with some success but contains only a subset of the rules that will be required in the full system. The nature of the threat assessment task is such that experts have difficulty in verbalising certain parts of their knowledge. This is likely to mean that gaps will exist even in future versions of the system. This contributes to our basic view that initial use of the system is more likely to be as an adviser rather than as an autonomous system.

Autonomous Trajectory Generating Servomechanism with Orientation Control of End-Effector

Abstract: As a high accuracy trajectory control technique for manipulators, the Autonomous Trajectory Generating Servomechanism (ATGS) has been proposed. Since the ATGS has a function in the algorithm to recover trajectories when they deviate from the nominal paths and the rate-servomechanism in the ATGS has inherently a capability to restrain the influence of disturbances by the effect of feedback, the trajectory generated by the ATGS is robust against the effects due to the dynamics of manipulators and/or parameter changes of systems. In this paper, the ATGS is extended to generate the spatial curve defined by the intersection of a pair of surfaces. Moreover, a trajectory generating method including the orientation control of end-effector is presented. Finally, the trajectory control method is implemented and tested in a real articulated manipulator. The experimental results confirmed the effectiveness of the method proposed in this research.