Stability concepts for general continuous-time implicit systems: definitions, Hautus tests and Lyapunov criteria

DOI10.1080/00207729508929047zbMath0835.93049OpenAlexW1973582518MaRDI QIDQ4839823

Ton Geerts

Publication date: 21 August 1995

Published in: International Journal of Systems Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207729508929047

zbMATH Keywords

stabilityLyapunov functionsimplicit systemsHautus tests

Mathematics Subject Classification ID

Lyapunov and storage functions (93D30) Multivariable systems, multidimensional control systems (93C35) Linear systems in control theory (93C05) Asymptotic stability in control theory (93D20)

Cites Work

• Unnamed Item
• Some practical stability criteria for semistate equations
• Singular control systems
• Solvability conditions, consistency, and weak consistency for linear differential-algebraic equations and time-invariant singular systems: The general case
• On Hautus-type conditions for controllability of implicit linear discrete-time systems
• A generalized state-space for singular systems
• The Pencil $(sE - A)$ and Controllability–Observability for Generalized Linear Systems: a Geometric Approach
• Partial exponential stability of semi-state systems
• Some geometric considerations about the Kronecker normal form
• Consistency and Liapunov Stability of Linear Descriptor Systems: A Geometric Analysis
• On Singular Implicit Linear Dynamical Systems

This page was built for publication: Stability concepts for general continuous-time implicit systems: definitions, Hautus tests and Lyapunov criteria