Geometric theory and feedback invariants of generalized linear systems: A matrix pencil approach
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Publication:582247
DOI10.1007/BF01598421zbMath0689.93016OpenAlexW2071157647MaRDI QIDQ582247
Grigoris I. Kalogeropoulos, Nicos Karcanias
Publication date: 1989
Published in: Circuits, Systems, and Signal Processing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01598421
Geometric methods (93B27) Linear systems in control theory (93C05) Canonical structure (93B10) Control/observation systems governed by ordinary differential equations (93C15) Matrix pencils (15A22) General theory for ordinary differential equations (34A99)
Related Items (16)
Minimal bases of matrix pencils: Algebraic Toeplitz structure and geometric properties ⋮ The prime and generalized nullspaces of right regular pencils ⋮ On non-homogeneous singular systems of fractional nabla difference equations ⋮ On non-homogeneous generalized linear discrete time systems ⋮ Grassmann invariants, matrix pencils, and linear system properties ⋮ Structural Methods for Linear Systems: An Introduction ⋮ Nicos Karcanias – an obituary ⋮ On stability and state feedback stabilization of singular linear matrix difference equations ⋮ On a singular system of fractional nabla difference equations with boundary conditions ⋮ Controllability of Linear Differential-Algebraic Systems—A Survey ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ The fundamental subspace sequences of matrix pencils: A Toeplitz matrix unified characterization ⋮ Geometric and algebraic properties of minimal bases of singular systems ⋮ Global reduction to the Kronecker canonical form of a \(C^r\)-family of time-invariant linear systems
Cites Work
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- Minimal representations of implicit linear systems
- A geometric characterization of the reachable and the controllable subspaces of descriptor systems
- Fundamental properties of the manifold of singular and regular linear systems
- Geometric characterization of `complete controllability indices' for singular systems
- Time-invariant descriptor systems
- A survey of linear singular systems
- Feedback control and classification of generalized linear systems
- Matrix pencil characterization of almost ( A, Z) -invariant subspaces : A classification of geometric concepts
- Grassmann invariants, almost zeros and the determinantal zero, pole assignment problems of linear multivariable systems
- Pole assignment of strictly proper and proper linear systems by constant output feedback
- Some geometric considerations about the Kronecker normal form
- Decentralized determinantal assignment problem: fixed and almost fixed modes and zeros
- Almost invariant subspaces: An approach to high gain feedback design--Part I: Almost controlled invariant subspaces
- On Singular Implicit Linear Dynamical Systems
- On the Dimensions of Controllability Subspaces: A Characterization via Polynomial Matrices and Kronecker Invariants
- Structural properties of linear dynamical systems
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