A geometric characterization of the reachable and the controllable subspaces of descriptor systems
From MaRDI portal
Publication:1085119
DOI10.1007/BF01600185zbMath0606.93017OpenAlexW1975884855MaRDI QIDQ1085119
Publication date: 1986
Published in: Circuits, Systems, and Signal Processing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01600185
algorithmsdescriptor systemgeometric characterizationtime-invariantreachable subspacefeedback invariance
Numerical optimization and variational techniques (65K10) Controllability (93B05) Linear systems in control theory (93C05) Invariant subspaces of linear operators (47A15) Attainable sets, reachability (93B03) General theory for ordinary differential equations (34A99)
Related Items
Proportional and proportional-derivative canonical forms for descriptor systems with outputs, Minimal bases of matrix pencils: Algebraic Toeplitz structure and geometric properties, Remarks on controllability of implicit linear discrete-time systems, On complete and strong controllability for rectangular descriptor systems, Geometric characterization of `complete controllability indices' for singular systems, Simultaneous state and input reachability for linear time invariant systems, Observability of Linear Differential-Algebraic Systems: A Survey, Reachability of polynomial matrix descriptions (PMDs), On almost invariant subspaces for implicit linear discrete-time systems, On pole structure assignment in linear systems, Disturbance decoupling by behavioral feedback for linear differential-algebraic systems, Unnamed Item, On the computation of the fundamental subspaces for descriptor systems, Feedback linearization of nonlinear differential‐algebraic control systems, On disturbance localization in singular systems with direct feedthrough, Zero dynamics and funnel control of linear differential-algebraic systems, On controllability and observability of implicit systems, On the control of linear systems having internal variations., A geometric approach to proportional-plus-derivative feedback using quotient and partitioned subspaces, Computation of the impulsive behavior of multivariable linear systems using a division algorithm, From Morse triangular form of ODE control systems to feedback canonical form of DAE control systems, A tutorial on the geometric analysis of linear time-invariant implicit systems, Controllability of Linear Differential-Algebraic Systems—A Survey, Geometric theory and feedback invariants of generalized linear systems: A matrix pencil approach, Unnamed Item, Unnamed Item, Unnamed Item, Unnamed Item, Unnamed Item, Geometric design techniques for observers in singular systems, Reachability and controllability indices for linear descriptor systems, Implicit linear discrete-time systems, The fundamental subspace sequences of matrix pencils: A Toeplitz matrix unified characterization, A survey of linear singular systems, Generalized linear systems: Geometric and structural approaches, On Hautus-type conditions for controllability of implicit linear discrete-time systems, Geometric and algebraic properties of minimal bases of singular systems, Unnamed Item
Cites Work