Impulsive-smooth behavior in multimode systems. II: Minimality and equivalence

DOI10.1016/0005-1098(96)00007-6zbMath0865.93030OpenAlexW2044308356MaRDI QIDQ1923064

Yanyan Li

Publication date: 26 June 1997

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0005-1098(96)00007-6

zbMATH Keywords

singular systemsswitchingminimal representations

Mathematics Subject Classification ID

Multivariable systems, multidimensional control systems (93C35) Minimal systems representations (93B20)

Related Items (11)

A controllability test for general first-order representations ⋮ Homogeneous behaviors ⋮ First-order representations of delay-differential systems in a behavioural setting ⋮ Impulsive-smooth behavior in multimode systems. I: State-space and polynomial representations ⋮ Smooth/impulsive linear systems: axiomatic description ⋮ Switched nonlinear differential algebraic equations: solution theory, Lyapunov functions, and stability ⋮ Representability of impulsive input/output behaviors in descriptor form ⋮ Regularity of distributional differential algebraic equations ⋮ (Generalised) autoregressive models and their trajectories ⋮ The equivalence structure of descriptor representations of systems with possibly inconsistent initial conditions ⋮ Smooth/impulsive linear systems: interconnections

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A general realization theory for higher-order linear differential equations
• System structure and singular control
• From time series to linear system. I: Finite dimensional linear time invariant systems
• Transformations of linear systems under external equivalence
• Fast projection methods for minimal design problems in linear system theory
• Topology of the orbit space of generalized linear systems
• Solvability conditions, consistency, and weak consistency for linear differential-algebraic equations and time-invariant singular systems: The general case
• A smooth compactification of the space of transfer functions with fixed McMillan degree
• Regularity and singularity in linear-quadratic control subject to implicit continuous-time systems
• Impulsive-smooth behavior in multimode systems. I: State-space and polynomial representations
• Invariant subspaces and invertibility properties for singular systems: The general case
• Finite-dimensional time-invariant linear dynamical systems: Algebraic theory
• Rational matrix structure
• Paradigms and puzzles in the theory of dynamical systems
• Linear Feedback—An Algebraic Approach
• Realization of Autoregressive Equations in Pencil and Descriptor Form

This page was built for publication: Impulsive-smooth behavior in multimode systems. II: Minimality and equivalence