Methods of invariant analysis for linear control systems.
From MaRDI portal
Publication:1270540
DOI10.1007/BF02364664zbMath1126.93302MaRDI QIDQ1270540
Publication date: 22 October 1998
Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)
Linear systems in control theory (93C05) Research exposition (monographs, survey articles) pertaining to systems and control theory (93-02) Algebraic methods (93B25)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Problems of controlling finite dimensional systems
- Stabilizability of multivariable systems and the Ljusternik-Snirel'mann category of real Grassmannians
- Representations of the symmetric group, the specialization order, systems and Grassmann manifolds
- A global parametrization of asymptotically stable linear systems
- From time series to linear system. I: Finite dimensional linear time invariant systems
- New results on pole-shifting for parametrized families of systems
- A Jordan canonical form for reachable linear systems
- Design of pole-placement compensators for multivariable systems
- Invariance and system theory: algebraic and geometric aspects
- Foundations of system theory: Finitary and infinitary conditions
- Foundations of system theory: Decomposable systems
- Linear dynamical systems over integral domains
- The invariant theory of \(n\times n\) matrices
- Algebraic system theory: An analyst's point of view
- Ring models for delay-differential systems
- On the desingularization of the unipotent variety
- A complex variable approach to the analysis of linear multivariable feedback systems
- On the existence of minimal realizations of linear dynamical systems over Noetherian integral domains
- Lectures on introduction to moduli problems and orbit spaces
- Sur la topologie de certains espaces homogenes
- Coproducts and decomposable machines
- On the relevance of abstract algebra to control theory
- Feedback invariants of linear multivariable systems
- A survey of some recent results in linear multivariable feedback theory
- Trends in linear multivariable theory
- Finite-dimensional time-invariant linear dynamical systems: Algebraic theory
- Topology of the moduli space for reachable linear dynamical systems: The complex case
- Output Feedback and Generic Stabilizability
- On families of systems and deformations
- Symmetric linear systems: an application of algebraic systems theory
- On the Parametrization of Linear Constant Systems
- Transcendental and Interpolation Methods in Simultaneous Stabilization and Simultaneous Partial Pole Placement Problems
- Linear Dynamical Systems and Instantons in Yang-Mills Theory
- On the Height of the First Stiefel-Whitney Class
- Applications of Algebraic Geometry in System Theory
- Principal gains and principal phases in the analysis of linear multivariable feedback systems
- Multivariable Nyquist criteria, root loci, and pole placement: A geometric viewpoint
- Algebraic and topological aspects of feedback stabilization
- New Results in Pole Assignment by Real Output Feedback
- Output feedback stabilization and related problems-solution via decision methods
- Pole assignment by gain output feedback
- Some geometric questions in the theory of linear systems
- Variational sums of infinitesimal systems
- A further result on the problem of pole assignment by output feedback
- Applications of algebraic geometry to systems theory--Part I
- Pole placement over integral domains
- Greatest common divisor via generalized Sylvester and Bezout matrices
- Moduli and canonical forms for linear dynamical systems II: The topological case
- Applications of Algebraic Geometry to Systems Theory: The M<scp>c</scp>Millan Degree and Kronecker Indices of Transfer Functions as Topological and Holomorphic System Invariants
- On the Control of Certain Deterministic, Infinite-Dimensional by Algebro-Geometric Techniques
- Generalized Hermite Matrices and Complete Invariants of Strict System Equivalence
- Machines in a Category: An Expository Introduction
- On the Stabilization of Linear Systems
- Mathematical Description of Linear Dynamical Systems
- Decoupling and Pole Assignment in Linear Multivariable Systems: A Geometric Approach
- CANONICAL STRUCTURE OF LINEAR DYNAMICAL SYSTEMS
- Invariant Description of Linear, Time-Invariant Controllable Systems
- A TORELLI THEOREM FOR ALGEBRAIC SURFACES OF TYPEK3
- Algebraic Structure of Linear Dynamical Systems. III. Realization Theory Over a Commutative Ring
- A canonical model for identification of multivariable linear systems
- A Characterization of Feedback Equivalence
- A THEOREM ON INDEPENDENCE RELATIONS