System-theoretic and algebraic aspects of the rings of stable and proper stable rational functions
DOI10.1016/0024-3795(85)90129-6zbMath0569.93019OpenAlexW1978841715MaRDI QIDQ1061692
Pramod P. Khargonekar, A. Buelent Oezgueler
Publication date: 1985
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0024-3795(85)90129-6
state space realizationmatrix fractional representationrings of stable and proper stable rational functions
Linear systems in control theory (93C05) Canonical structure (93B10) Algebraic methods (93B25) Realizations from input-output data (93B15) Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial) (13F15) Canonical forms, reductions, classification (15A21) Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics (70G10) Theory of modules and ideals in commutative rings (13C99)
Related Items (2)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Factorization indices at infinity for rational matrix functions
- Algebraic and topological aspects of the regulator problem for lumped linear systems
- Linear multivariable systems
- Algebraic system theory: An analyst's point of view
- Minimal Bases of Rational Vector Spaces, with Applications to Multivariable Linear Systems
- Systems of integral equations on a half line with kernels depending on the difference of arguments
- A generalized state-space for singular systems
- On Matrix Fraction Representations for Linear Systems over Commutative Rings
- On a natural realization of matrix fraction descriptions
- Feedback system design: The fractional representation approach to analysis and synthesis
- Simplifications and clarifications on the paper 'An algebra of transfer functions for distributed linear time-invariant systems'
- A Polynomial Characterization of $(\mathcal{A},\mathcal{B})$-Invariant and Reachability Subspaces
- Linear feedback via polynomial models
- The Equation $XR + QY = \Phi $: A Characterization of Solutions
- An algebraic theory for design of controllers for linear multivariable systems--Part I: Structure matrices and feedforward design
- An algebraic theory for design of controllers for linear multivariable systems--Part II: Feedback realizations and feedback design
- Causal Factorization and Linear Feedback
- A system-theoretic approach to the factorization theory of non-singular polynomial matrices
- Algebraic and topological aspects of feedback stabilization
- Further results on polynomial characterizations of (<tex>F, G</tex>)-invariant and reachability subspaces
- A study of (A, B) invariant subspaces via polynomial models
- Algebraic design techniques for reliable stabilization
- Coprime Factorizations and Stability of Multivariable Distributed Feedback Systems
- The multivariable servomechanism problem from the input-output viewpoint
- On strict system equivalence and similarity†
- Frequency domain synthesis of multivariable linear regulators
- Linear Feedback—An Algebraic Approach
- Skew prime polynomial matrices
- The general problem of pole assignment‡
- On the use of right-coprime factorizations in distributed feedback systems containing unstable subsystems
- Output regulation and tracking in linear multivariable systems
- The Polynomial Equation $QQ_c + RP_c = \Phi $ with Application to Dynamic Feedback
- On the relation between stable matrix fraction factorizations and regulable realizations of linear systems over rings
- The Equations AX - YB = C and AX - XB = C in Matrices
This page was built for publication: System-theoretic and algebraic aspects of the rings of stable and proper stable rational functions