A tutorial on the geometric analysis of linear time-invariant implicit systems
From MaRDI portal
Publication:1190507
DOI10.1016/0005-1098(92)90012-5zbMath0745.93033OpenAlexW1980232236MaRDI QIDQ1190507
Publication date: 26 September 1992
Published in: Automatica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0005-1098(92)90012-5
Geometric methods (93B27) Control/observation systems governed by ordinary differential equations (93C15)
Related Items
Robust stability of composite singular and impulsive interval uncertain dynamic systems with time delay ⋮ A relation of inclusion for implicit linear systems ⋮ Proportional and proportional-derivative canonical forms for descriptor systems with outputs ⋮ Dynamical structures on pencils, poles, and fundamental subspaces ⋮ An overview of structural systems theory ⋮ On the existence and uniqueness of solutions for implicit linear systems on finite interval ⋮ On the geometric structures of the \(\mathcal{H}_\infty\) controllers for descriptor systems ⋮ On the design of output feedback for finite and infinite pole assignment in singular systems with application to the control problem of constrained robots ⋮ A remark on the discretization of singular systems ⋮ Simultaneous state and input reachability for linear time invariant systems ⋮ Numerical solutions of Hamiltonian DAEs and applications ⋮ Geometric minimization under external equivalence for implicit descriptions ⋮ The prime and generalized nullspaces of right regular pencils ⋮ Observability of structured linear systems in descriptor form: a graph-theoretic approach ⋮ Structural matrix minimization algorithm for implicit descriptions ⋮ Left invertibility and duality for linear systems ⋮ Observability of Linear Differential-Algebraic Systems: A Survey ⋮ Reachability of polynomial matrix descriptions (PMDs) ⋮ On pole structure assignment in linear systems ⋮ Grassmann invariants, matrix pencils, and linear system properties ⋮ Stochastic admissibility of singular Markov jump systems with time-delay via sliding mode approach ⋮ Unnamed Item ⋮ Solutions of differential-algebraic equations as outputs of LTI systems: application to LQ control problems ⋮ On the computation of the fundamental subspaces for descriptor systems ⋮ Feedback linearization of nonlinear differential‐algebraic control systems ⋮ The structured controllability radii of higher order systems ⋮ The quasi-Weierstrass form for regular matrix pencils ⋮ Nonovershooting state feedback and dynamic output feedback tracking controllers for descriptor systems ⋮ On the control of linear systems having internal variations. ⋮ Geometric techniques for implicit two-dimensional systems ⋮ Integral sliding-mode control for linear time-invariant implicit systems ⋮ On Kalman's controllability and observability criteria for singular systems ⋮ Observability analysis and sensor location study for structured linear systems in descriptor form with unknown inputs ⋮ From Morse triangular form of ODE control systems to feedback canonical form of DAE control systems ⋮ Solutions to the output regulation problem of linear singular systems ⋮ Square-root Kalman filtering of descriptor systems ⋮ Controllability of Linear Differential-Algebraic Systems—A Survey ⋮ Bézout identity related to reduced-order observer-based controllers for singular systems ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ The fundamental subspace sequences of matrix pencils: A Toeplitz matrix unified characterization ⋮ Geometric Analysis of Differential-Algebraic Equations via Linear Control Theory
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Fundamental matrix of discrete singular systems
- Geometric design techniques for observers in singular systems
- A new approach to regular descriptor systems
- The computation of Kronecker's canonical form of a singular pencil
- A complement about the structure of linear systems
- Reachability, observability, and minimality for shift-invariant two-point boundary-value descriptor systems
- A closed form solution for regular descriptor systems using the Moore- Penrose generalized inverse
- Minimal representations of implicit linear systems
- A reduced order observer for descriptor 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
- Remarks on controllability of implicit linear discrete-time systems
- An efficient algorithm for partial fraction expansion of the linear matrix pencil inverse
- Fundamental theorem of state feedback for singular systems
- On almost invariant subspaces for implicit linear discrete-time systems
- Fast projection methods for minimal design problems in linear system theory
- Time-domain input-output representations of linear systems
- Singular control systems
- On rectangular systems of differential equations and their application to circuit theory
- The eigenvalue problem \(\lambda Tx+Sx\)
- Geometric state-space theory in linear multivariable control: A status report
- 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
- Some circuits and systems applications of semistate theory
- Controlled and conditioned invariant subspaces in linear system theory
- The use of the homogeneous form in the study of singular systems
- Generalized Reachability Subspaces for Singular Systems
- Descriptor systems: Decomposition into forward and backward subsystems
- A generalized state-space for singular systems
- The Disturbance Decoupling Problem for Implicit Linear Discrete-Time Systems
- Chained aggregation of singular systems
- On the analysis of discrete linear time-invariant singular systems
- On the design of observers for generalized state space systems using singular value decomposition
- Algebraic characterizations of almost invariance
- Descriptor systems: Expanded descriptor equation and Markov parameters
- On minimal-order inverses of discrete-time descriptor systems
- Algorithms to verify generic causality and controllability of descriptor systems
- Controllability and observability at infinity of multivariable linear second-order models
- On controlling generalized state-space (descriptor) systems
- The Pencil $(sE - A)$ and Controllability–Observability for Generalized Linear Systems: a Geometric Approach
- Lyapunov-like equations and reachability/observabiliy Gramians for descriptor systems
- Design of a minimal-order observer for singular systems
- Controllability of generalized linear time-invariant systems
- Design of observers for time-varying discrete-time descriptor systems
- Observers for discrete singular systems
- Boundary-value descriptor systems: well-posedness, reachability and observability
- Van der Pol realization of torus knot oscillators
- Realization and Canonicity for Implicit Systems
- Geometric structure and feedback in singular systems
- Boundary recursion for descriptor variable systems
- Almost invariant subspaces: An approach to high gain feedback design--Part I: Almost controlled invariant subspaces
- Solvability, controllability, and observability of continuous descriptor systems
- On Singular Implicit Linear Dynamical Systems
- Almost invariant subspaces: An approach to high gain feedback design--Part II: Almost conditionally invariant subspaces
- A strong controllability and observability in linear multivariable control
- Generalized proper inverse of polynomial matrices and the existence of infinite decoupling zeros
- Analysis of singular systems using orthogonal functions
- Structural properties of linear dynamical systems
- On input function observers for generalized state-space systems
- Generic controllability theorems for descriptor systems
- On the regularizability of singular systems
- Inner and outer geometry for singular systems with computation of subspaces
- Partial reconstruction of state vectors in decentralized dynamic systems