Analysis conditions on interval observer synthesis for linear systems with variable parameters

The conditions of synthesis of interval observers for linear systems with unknown time-varying parameters were analyzed. The possible cases for compliance with the properties of the cooperative system were considered. The analysis of the conditions under which, for a given combination of properties of the system, it's possible to construct an interval observer, was held. Such observer allows to get estimates of the state variables of the system which is guaranteed to contain the actual value of the state at a given time.