scientific article
From MaRDI portal
Publication:3998313
zbMath0751.93002MaRDI QIDQ3998313
Publication date: 17 September 1992
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
controllabilityReachabilitypolynomial matrix descriptionsdecoupling zeroshomogeneous matrix differential equationslinear multivarible feedback systems
Feedback control (93B52) Multivariable systems, multidimensional control systems (93C35) Linear systems in control theory (93C05) Synthesis problems (93B50) Algebraic methods (93B25) General systems (93A10) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to systems and control theory (93-01)
Related Items (85)
On the existence of linear systems with prescribed invariants for system similarity ⋮ Proper stabilisation of multidimensional input/output behaviours ⋮ Linearizations of rational matrices from general representations ⋮ On coprime rational function matrices ⋮ On the distance from a matrix polynomial to matrix polynomials with some prescribed eigenvalues ⋮ A Toeplitz algorithm for polynomial \(J\)-spectral factorization ⋮ Strong Linearizations of Rational Matrices ⋮ On matrix polynomials with the same finite and infinite elementary divisors ⋮ Reachability of polynomial matrix descriptions (PMDs) ⋮ Geometric analysis of impulse controllability for descriptor system ⋮ Equivalence transformations of rational matrices and applications ⋮ Generalized Fiedler pencils with repetition for rational matrix functions ⋮ Transformation of a PMD into an implicit system using minimal realizations of its transfer function matrix in terms of finite and infinite spectral data ⋮ Spectral filters connecting high order systems ⋮ Smooth/impulsive linear systems: axiomatic description ⋮ Higher-order continuous-time implicit systems: Consistency and weak consistency, impulse controllability, geometric concepts, and invertibility properties ⋮ Affine spaces of strong linearizations for rational matrices and the recovery of eigenvectors and minimal bases ⋮ Strong linearizations of rational matrices with polynomial part expressed in an orthogonal basis ⋮ Robust stabilization of differential‐algebraic systems ⋮ On parameterization design for linear observers. ⋮ Perturbation Theory of Transfer Function Matrices ⋮ On the Stabilization of Singular, Strictly Proper Transfer Function Matrices ⋮ Causal stabilisation of strictly causal multidimensional discrete objects ⋮ Positive realness of second-order and high-order descriptor systems ⋮ Row or Column Completion of Polynomial Matrices of Given Degree ⋮ Block full rank linearizations of rational matrices ⋮ Local linearizations of rational matrices with application to rational approximations of nonlinear eigenvalue problems ⋮ The Smith normal form and reduction of weakly linear matrices ⋮ From polynomial matrices to Markov parameters and back: Theory and numerical algorithms ⋮ Generalized Fiedler Pencils for Rational Matrix Functions ⋮ Controller design for partial decoupling of linear multivariable systems ⋮ Vector Spaces of Generalized Linearizations for Rectangular Matrix Polynomials ⋮ Assignment of infinite structure to an open-loop system. ⋮ Controllability of series connections of arbitrarily many linear systems ⋮ Equivalence conditions for behaviors and the Kronecker canonical form ⋮ A permuted factors approach for the linearization of polynomial matrices ⋮ Design, parametrization, and pole placement of stabilizing output feedback compensators via injective cogenerator quotient signal modules ⋮ Computation of the impulsive behavior of multivariable linear systems using a division algorithm ⋮ Recovery of eigenvectors of rational matrix functions from Fiedler-like linearizations ⋮ Closed form solution for the equations of motion for constrained linear mechanical systems and generalizations: an algebraic approach ⋮ Fast modes in the set of minimal dissipation trajectories ⋮ Feedback invariants of restrictions -- a polynomial approach ⋮ Embedding singular linear system with initial condition into distribution space ⋮ Numerical computation of minimal polynomial bases: a generalized resultant approach ⋮ Möbius transformations of matrix polynomials ⋮ Observability of linear discrete-time systems of algebraic and difference equations ⋮ Construction of algebraic and difference equations with a prescribed solution space ⋮ A new algorithm for the solution of a polynomial matrix Diophantine equation ⋮ On minimal bases and indices of rational matrices and their linearizations ⋮ Unnamed Item ⋮ Discretization of singular systems and error estimation ⋮ Linearizations for Rational Matrix Functions and Rosenbrock System Polynomials ⋮ Response determination of linear dynamical systems with singular matrices: a polynomial matrix theory approach ⋮ Local realizations and local polynomial matrix representations of systems ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Local Wiener--Hopf factorization and indices over arbitrary fields ⋮ An improved Toeplitz algorithm for polynomial matrix null-space computation ⋮ Unnamed Item ⋮ On the reduction of \(2-D\) polynomial systems into first order equivalent models ⋮ Unnamed Item ⋮ \(T\)-observers ⋮ Short story of the term “algebraic analysis” ⋮ On the Realization Theory of Polynomial Matrices and the Algebraic Structure of Pure Generalized State Space Systems ⋮ Decoupling of cubic polynomial matrix systems ⋮ Unnamed Item ⋮ Van Dooren's Index Sum Theorem and Rational Matrices with Prescribed Structural Data ⋮ On a homeomorphism between orbit spaces of linear systems and matrix polynomials ⋮ On the solution space of discrete time AR-representations over a finite time horizon ⋮ On the computation of the Jordan canonical form of regular matrix polynomials ⋮ A behavioral approach to classic polynomial matrix descriptions ⋮ A study on new right/left inverses of nonsquare polynomial matrices ⋮ Impulse free interconnection of dynamical systems ⋮ Root vectors of polynomial and rational matrices: theory and computation ⋮ On the McMillan degree of full-normal-rank transfer functions ⋮ Unnamed Item ⋮ On conditions guaranteeing two rational matrices possess identical pole/zero structure ⋮ Fiedler Linearizations for Higher Order State-Space Systems ⋮ Spectral structures of the generalized companion form and applications ⋮ Structured strong linearizations of structured rational matrices ⋮ Proper, denominator assigning feedback compensators equivalent to state variable feedback ⋮ Feedback invariants of restrictions and quotients: Series connected systems
This page was built for publication: