Impulsive-smooth behavior in multimode systems. I: State-space and polynomial representations
type: Item
instance of: scholarly article
title: Impulsive-smooth behavior in multimode systems. I: State-space and polynomial representations
zbMATH Open document ID: 0865.93029
DOI: 10.1016/0005-1098(96)00008-8
author: Yanyan Li
published in: Automatica
publication date: 1996-09-05T00:00:00Z
review text: [Part II is reviewed below.] This paper considers systems which can switch between different linear finite-dimensional systems which are not necessarily of the same McMillan degree. The resulting behavior is smooth between switches and possibly impulsive at the switching times. These impulsive-smooth solutions are examined using an algebraic framework.
Mathematics Subject Classification ID: 93C35
Mathematics Subject Classification ID: 93B25
zbMATH DE Number: 896681
zbMATH Keywords: singular systems
zbMATH Keywords: switching
reviewed by: Stephen L. Campbell
MaRDI profile type: Publication
full work available at URL: 0005-1098(96)00008-8
OpenAlex ID: W2134511946
cites work: Q3714018
cites work: Q4859383
cites work: On the solutions of linear differential equations with singular coefficients
cites work: Q4765076
cites work: Q3905961
cites work: Invariant subspaces and invertibility properties for singular systems: The general case
cites work: Solvability conditions, consistency, and weak consistency for linear differential-algebraic equations and time-invariant singular systems: The general case
cites work: Impulsive-smooth behavior in multimode systems. II: Minimality and equivalence
cites work: Q4115007
cites work: System structure and singular control
cites work: Realization of Autoregressive Equations in Pencil and Descriptor Form
cites work: Q4300079
cites work: The complementary-slackness class of hybrid systems
cites work: Variable structure systems with sliding modes
cites work: Paradigms and puzzles in the theory of dynamical systems
cites work: Variable structure and Lyapunov control
description: scientific article; zbMATH DE number 896681