论文信息 - On the existence and uniqueness of solutions in adaptive control systems

On the existence and uniqueness of solutions in adaptive control systems

The issue of existence and uniqueness of solutions, which arises in the analysis of adaptive control systems, is investigated. Sufficient conditions that guarantee existence and uniqueness in positive time of solutions to differential equations describing a wide class of adaptive schemes are given. The concept of Filippov's solution is introduced as a method of dealing with discontinuous adaptive systems. >

M. Polycarpou | P. Ioannou

[1] Otomar Hájek,et al. Discontinuous differential equations, II , 1979 .

[2] A. Morse. Global stability of parameter-adaptive control systems , 1979 .

[3] Graham C. Goodwin,et al. A parameter estimation perspective of continuous time model reference adaptive control , 1987, Autom..

[4] Petros A. Ioannou,et al. Theory and design of robust direct and indirect adaptive-control schemes , 1988 .

[5] Aleksej F. Filippov,et al. Differential Equations with Discontinuous Righthand Sides , 1988, Mathematics and Its Applications.

[6] D. Mayne,et al. Design issues in adaptive control , 1988 .

[7] A. Morse,et al. Applications of hysteresis switching in parameter adaptive control , 1991, [1991] Proceedings of the 30th IEEE Conference on Decision and Control.

[8] K. Tsakalis. Robustness of model reference adaptive controllers: an input-output approach , 1992 .