In this letter, we prove a Lie algebraic decomposition (of a certain Lie algebra, associated
with the system, into a direct sum of its radical and a compact Lie algebra) based criterion for …

In this paper, we investigate solutions and stability properties of switched nonlinear
differential–algebraic equations (DAEs). We introduce a novel concept of solutions, called …

In this article, we prove multiple criteria for the stability of switched discrete-time singular
(SDLS) systems. First, we show that if the Lie algebra generated by the flow matrices …

In this paper, we establish a Lie algebraic solvability-based criterion for stabilizability of
switched differential algebraic equations (switched DAEs) consisting of individually unstable …

In order to understand the different performances of robots under different control systems,
the author has carried out dynamic optimization research on the control system of robots …

In this paper, we develop the moment and almost-sure stability with a general decay rate for
stochastic functional differential equations with semi-Markovian switching signal …

In this paper, we prove a Lie algebraic criterion for stability of switched differential algebraic
equations (DAEs) with stable and impulse free DAE subsystems. We show that if the Lie …

Рассматривается задача синтеза систем управления подвижными объектами с
коммутацией каналов управления. Для устранения скачков и импульсов, которые могут …

In this paper, we propose some sufficient conditions for checking the asymptotic stability of
switched nonlinear differential-algebraic equations (DAEs) under arbitrary switching signal …

This paper addresses issues concerning asymptotic stability testing and controller design for
the two-dimensional Rosser model in Differential-Algebraic-Equations systems (DAEs). We …