A controllability test for general first-order representations

DOI10.1016/S0005-1098(96)00154-9zbMath0874.93018OpenAlexW2117048623MaRDI QIDQ1354856

Uwe R. Helmke, Johannes M. Schumacher, Joachim Rosenthal

Publication date: 10 November 1997

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0005-1098(96)00154-9

zbMATH Keywords

controllabilityimplicit systemscontrollability matrixreachable statesgeneralized linear control systems

Mathematics Subject Classification ID

Controllability (93B05) Multivariable systems, multidimensional control systems (93C35) Linear systems in control theory (93C05)

Related Items

Quivers, geometric invariant theory, and moduli of linear dynamical systems ⋮ On Kalman's controllability and observability criteria for singular systems ⋮ A matrix Euclidean algorithm induced by state space realization

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A general realization theory for higher-order linear differential equations
• Descriptor representations without direct feedthrough term
• Implicit linear systems
• Impulsive-smooth behavior in multimode systems. I: State-space and polynomial representations
• Impulsive-smooth behavior in multimode systems. II: Minimality and equivalence
• Finite-dimensional time-invariant linear dynamical systems: Algebraic theory
• On behaviors and convolutional codes
• Leverrier's algorithm for singular systems
• Linear Dynamical Systems and Instantons in Yang-Mills Theory
• Direct controllability and observability time domain conditions of singular systems
• Paradigms and puzzles in the theory of dynamical systems