ABSTRACT

The methods of analysis of probability stability of systems with random structure and first and foremost the Lyapunov function method considered in the previous chapters enable us to state and solve more complicated synthesis problems for the abovementioned class of controlled systems. In particular, the present chapter deals with the construction of a system with random structure that possesses a required property of probability stability (asymptotic stability with respect to probability, exponential stability in mean square, etc.) and ensures the prescribed optimal property of the transient process.