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In this contribution an extension of the prediction-based design scheme proposed in Tsubakino et al. (2015) for compensation of input delays to the case of systems with input and state delays is presented. To derive safely implementable control laws we propose to apply additional input filters and obtain a closed-loop system in the form of a set of retarded type differential equations. An example illustrating the design scheme is given. [ABSTRACT FROM AUTHOR]

In this contribution we present an extension of the prediction scheme proposed in Manitius and Olbrot (1979) for the compensation of the input delay to the case of linear neutral type systems with input delay. For simplicity of the presentation we treat the case of systems with one state delay. [ABSTRACT FROM AUTHOR]

Abstract: In this contribution we present an extension of the prediction scheme proposed in Manitius and Olbrot (1979) for the compensation of the input delay to the case of linear systems with both input delay and state delay. For simplicity of the presentation we treat the case of systems with one state delay. [Copyright &y& Elsevier]

Abstract: A necessary and sufficient condition for the existence and uniqueness of Lyapunov matrices for neutral type single delay systems is presented. [Copyright &y& Elsevier]

Abstract: In this contribution we present some basic results concerning the computation of quadratic functionals with prescribed time derivatives for linear time delay systems. Some lower and upper bounds for the functionals are given. The functionals are defined by special matrix valued functions. These functions are called Lyapunov matrices. The theory of the matrices is a rather young topic. Therefore, principal results with respect to the existence and uniqueness of the matrices are included. Some important applications of the functionals are pointed out. A brief historical survey ends the contribution. [Copyright &y& Elsevier]

In this paper, some recent results on additional dynamics for transformed time-delay systems are extended to the case of time-varying systems. Special equations which describe these dynamics are derived. Additional restrictions on stability and robust stability imposed by the transformations are obtained. [Copyright &y& Elsevier]