The \(k\)-compound of a difference-algebraic system

DOI10.1016/j.automatica.2023.111387zbMath1539.93111MaRDI QIDQ6537347

Michael Margaliot, Unnamed Author

Publication date: 14 May 2024

Published in: Automatica (Search for Journal in Brave)

zbMATH Keywords

Drazin inversewedge productevolution of volumesmultiplicative compounds

Mathematics Subject Classification ID

Discrete-time control/observation systems (93C55) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30) Applications of difference equations (39A60)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Geometric theory and feedback invariants of generalized linear systems: A matrix pencil approach
• Computing the maximum degree of minors in matrix pencils via combinatorial relaxation
• Revisiting totally positive differential systems: a tutorial and new results
• Control of discrete-time descriptor systems. An anisotropy-based approach
• Generalized inverses. Theory and applications.
• Entrainment to subharmonic trajectories in oscillatory discrete-time systems
• Variation diminishing linear time-invariant systems
• \(k\)-contraction: theory and applications
• Compound matrices and ordinary differential equations
• On the spectral properties of nonsingular matrices that are strictly sign-regular for some order with applications to totally positive discrete-time systems
• A generalization of linear positive systems with applications to nonlinear systems: invariant sets and the Poincaré-Bendixson property
• Pseudo-Inverses in Associative Rings and Semigroups
• A matrix pencil based numerical method for the computation of the GCD of polynomials
• Balanced Truncation of $k$-Positive Systems
• Diagonal Stability of Discrete-Time $k$-Positive Linear Systems With Applications to Nonlinear Systems
• Internally Hankel $k$-Positive Systems
• Dynamical Systems With a Cyclic Sign Variation Diminishing Property
• Generalized Inverses of Linear Transformations
• Discrete-Time $k$-Positive Linear Systems
• Numerical performance of the matrix pencil algorithm computing the greatest common divisor of polynomials and comparison with other matrix-based methodologies
• Compound matrices in systems and control theory: a tutorial
• Generalization of the Multiplicative and Additive Compounds of Square Matrices and Contraction Theory in the Hausdorff Dimension
• A Sufficient Condition for $k$-Contraction of the Series Connection of Two Systems

This page was built for publication: The \(k\)-compound of a difference-algebraic system