This paper considers the problem of robust stability analysis for continuous descriptor systems with state delay and structured uncertainties. A computationally simple approach to test stability of descriptor delay systems is proposed. Based on this, we developed a sufficient condition which guarantees that the perturbed descriptor delay system under consideration is regular, impulse-free and s...

There are many works devoted to the study of optimal control problems for systems with the state equation which is not solvable with respect to the derivative (Lewis, 1986; Mehrmann, 1991; Kurina, 1992). In the scientific literature, such systems are called descriptor, singular, implicit or differential-algebraic systems. Causality plays an important role in studying optimal control problems fo...

This article is focused on analyzing stability and L2 gain properties for switched systems composed of a family of linear discrete-time descriptor subsystems. Concerning descriptor systems, they are also known as singular systems or implicit systems and have high abilities in representing dynamical systems [1, 2]. Since they can preserve physical parameters in the coefficient matrices, and desc...

In positive systems inputs, state variables and outputs take only non-negative values. Examples of positive systems are industrial processes involving chemical reactors, heat exchangers and distillation columns, storage systems, compartmental systems, water and atmospheric pollution models. A variety of models having positive linear behavior can be found in engineering, management science, econ...