A matrix approach to graph maximum stable set and coloring problems with application to multi-agent systems

This bibliography contains the references to the major papers and reports on adaptive systems. The refmences listed are divided into two main sections, one for books and the other for journal, papers, reports, dissertations, patents, and conference papers. In the second section, papers, reports, etc., are indexed into categories e.g., applications, model reference systems, self-oscillating systems, etc.

http://ieeexplore.ieee.org/iel5/5/31244/01454562.pdf

Bibliography on adaptive control systems

This paper studies the synchronization of interconnected k-valued logical networks, as well as that of interconnected higher order k-valued logical networks, based on their algebraic representations. For interconnected k-valued logical networks, one necessary and sufficient criterion of synchronization is established via the definition of synchronization and another equivalent condition is given by combining synchronization with fixed points and cycles. Furthermore, with some special properties of semi-tensor product, the third necessary and sufficient condition for synchronization of interconnected k-valued logical networks is raised in terms of transition matrices. Then, the limit set method can be used to analyze the synchronization of interconnected higher order k-valued logical networks. Finally, three examples, including the Boolean model for interconnected biochemical oscillators in the cell cycle, are presented to illustrate effectiveness of the results.

Synchronization of Interconnected Multi‐valued Logical Networks

A design procedure is described for constant linear multivariable systems that must minimise a finite time quadratic cost function and achieve a fixed terminal state. This is the first presentation of a general solution to this problem in the complex-frequency domain. To achieve this solution a gradient function is calculated and the theory of projection operators is employed. A technique is described by which the optimal open loop control can be implemented in feedback system form.

S-domain solution for the fixed end-point optimal-control problem

The authors describe a method of centers based on barrier functions for solving optimal control problems with continuum inequality constraints on the state and control. The method decomposes the original problem into a sequence of easily solved optimal control problems with control constraints only. The method requires only approximate solution of the problems. Two versions of a phase I-phase II method-of-centers-type algorithm are presented. Although, at first glance, the algorithms appear to have potential for failure owing to ill conditioning, preliminary computational results show that this is not so and in fact, that the algorithms are highly effective. >

A method of centers based on barrier functions for solving optimal control problems with continuum state and control constraints

Two suboptimal control policies employing integral state feedback suitable for nonlinear systems and nonquadratic performance functionals have been proposed. Necessary conditions are obtained using the variational approach to select optimally the time-invariant parameters for a general control structure of which the two suboptimal policies proposed are particular cases. A numerical example is worked out and the results compared and discussed.

On proportional plus proportional-integral suboptimal control

A simple adaptation scheme has been suggested to improve system performance on line more and more towards the desired optimal performance when the parameters of the plant are either not correctly known or varying during the process. An a priori model for simulation studies on a computer is based on all the available information about the actual plant, and further improvement of the model is effected successively at discrete intervals of time by appropriate corrections computed from the difference between the measured response of the plant and the simulated response; of the model for a common input. Deterministic system with noise-free measurement is assumed. Linear examples are given to illustrate the procedure.

An adaptive algorithm for optimal control

A known expression for the performance sensitivity of optimal systems as related to the gradient of the control Hamiltonian has been shown to hold good for a class of suboptimal feedback control systems. The actual percentage performance changes are computed with reference to a third order linear regulator problem, when a plant parameter is varied, for both suboptimal and truly optimal control implementations and the results are compared.

P. K. Bharathan

Papers

On proportional plus proportional-integral suboptimal control

An adaptive algorithm for optimal control

On Suboptimal Performance Sensitivity