A new modified state variable diagram method is proposed for determination of positive realizations of linear continuoustime systems with delays in state and input vectors. Using the method, it is possible to find a positive realization with reduced numbers of delays for a given transfer matrix. Sufficient conditions for the existence of positive realizations of given proper transfer matrices a...

We recently introduced a design methodology for the stabilization of nonlinear systems with input and state delays that depend on the current state of the plant. In the present paper we consider nonlinear horizon and the delay depend on the state of the plant, the key design challenges are how to compute the predictor state and the delay (since the delay needs to be available in order to comput...

Stability and L2 (l2)-gain analysis of linear (continuous-time and discrete-time) systems with uncertain bounded time-varying delays possessing non-zero nominal values and norm-bounded uncertainties. The delay derivatives (in the continuous-time) are not assumed to be less than q < 1. An input-output approach is applied by introducing a new input-output model, which leads to effective frequency...

Stability and L2 (l2)-gain of linear (continuous-time and discrete-time) systems with uncertain bounded time-varying delays are analyzed under the assumption that the nominal delay values are not equal to zero. The delay derivatives (in the continuous-time) are not assumed to be less than q < 1. An input–output approach is applied by introducing a new input–output model, which leads to effectiv...