| Abstract: | Conditions for the mean-square dissipativity of adaptive stabilization systems for a linear object under coordinate-parametric
perturbations of white noise type are obtained. A linear adaptive regulator with adjustable coefficients is chosen. For adjusting
parameters, an adaptation algorithm is synthesized by the passification method. The number of inputs in objects under consideration
may differ from that of outputs. The proof is based on the construction of a quadratic stochastic Lyapunov function. (In the
case of purely parametric perturbations, the obtained conditions are known to be necessary and sufficient for the existence
of a Lyapunov function with these properties.) Dissipativity conditions for the constructed closed system are obtained; it
is shown that, in some special cases, the dissipativity of the closed system is preserved under white-noise perturbations
of any intensity. |
