ABSTRAKT

Sufficient conditions of technical stability on a given bounded and infinite time intervals, and of asymptotical technical stability of continuously controlled dynamic processes with distributed parameters are formulated. With the help of the comparison method, the Lagrange method, and the Lagrange method of multipliers combined with the Lyapunov direct method, criteria determining the set of controls which provide technical stability of the initial process are obtained. An optimal control is separated out which provides a minimum value of the norm corresponding to the given process.