System structure and singular control
From MaRDI portal
Publication:1056709
DOI10.1016/0024-3795(83)90062-9zbMath0522.93021OpenAlexW2015887728MaRDI QIDQ1056709
M. L. J. Hautus, Leonard M. Silverman
Publication date: 1983
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0024-3795(83)90062-9
Stabilization of systems by feedback (93D15) Linear systems in control theory (93C05) Algebraic methods (93B25) General theory for ordinary differential equations (34A99) Model systems in control theory (93C99)
Related Items (52)
Regularity and singularity in linear-quadratic control subject to implicit continuous-time systems ⋮ Acausal models and balanced realizations of stationary processes ⋮ Invariant subspaces and invertibility properties for singular systems: The general case ⋮ Linear-quadratic control with and without stability subject to general implicit continuous-time systems: Coordinate-free interpretations of the optimal costs in terms of dissipation inequality and linear matrix inequality; existence and uniqueness of optimal controls and state trajectories ⋮ Continuous-time singular linear-quadratic control: necessary and sufficient conditions for the existence of regular solutions ⋮ Construction and parameterization of all static and dynamic \(H_2\)-optimal state feedback solutions for discrete-time systems ⋮ Characterization of strong observability and construction of an observer ⋮ A new approach to the cheap LQ regulator exploiting the geometric properties of the Hamiltonian system ⋮ Simultaneous state and input reachability for linear time invariant systems ⋮ A necessary and sufficient condition for solvability of the linear- quadratic control problem without stability ⋮ Sampling, infinite zeros and decoupling of linear systems ⋮ Some new results on algebraic Riccati equations arising in linear quadratic differential games and stabilization on uncertain linear systems ⋮ Transformations of linear systems under external equivalence ⋮ Impulsive-smooth behavior in multimode systems. I: State-space and polynomial representations ⋮ All optimal controls for the singular linear-quadratic problem without stability; a new interpretation of the optimal cost ⋮ The linear quadratic regulator for periodic hybrid systems ⋮ Direct solution to the general reduced-order stochastic observation problem ⋮ Impulsive-smooth behavior in multimode systems. II: Minimality and equivalence ⋮ Higher-order continuous-time implicit systems: Consistency and weak consistency, impulse controllability, geometric concepts, and invertibility properties ⋮ Theory of optimal control in the works of V.A. Yakubovich ⋮ Squaring down LTI systems: a geometric approach ⋮ Optimal Singular LQR Problem: A PD Feedback Solution ⋮ Closed-form solutions of singular KYP lemma: strongly passive systems, and fast lossless trajectories ⋮ A subspace approach to linear dynamical systems ⋮ Partial unknown input reconstruction for linear systems ⋮ The generalized continuous algebraic Riccati equation and impulse-free continuous-time LQ optimal control ⋮ The Hopf bifurcation theorem for quasilinear differential-algebraic equations. ⋮ Compositionality issues in discrete, continuous, and hybrid systems ⋮ Observer-based control of linear complementarity systems ⋮ Fast modes in the set of minimal dissipation trajectories ⋮ Reorientation of linear switched systems using state feedback ⋮ On an invariance principle for differential-algebraic equations with jumps and its application to switched differential-algebraic equations ⋮ Solvability conditions, consistency, and weak consistency for linear differential-algebraic equations and time-invariant singular systems: The general case ⋮ Solution Concepts for Linear DAEs: A Survey ⋮ Hierarchical second-order sliding-mode observer for linear time invariant systems with unknown inputs ⋮ Regularity of distributional differential algebraic equations ⋮ Montononicity of the optimal cost in the discrete-time regulator problem and Schur complements ⋮ Response determination of linear dynamical systems with singular matrices: a polynomial matrix theory approach ⋮ Convergence of singular perturbations in singular linear systems ⋮ On linear passive complementarity systems ⋮ The geometry of the generalized algebraic Riccati equation and of the singular Hamiltonian system ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ J -lossless and extended J -lossless factorizations approach for @-domain H ∞ control ⋮ Continuity properties of the cheap-control problem without stability ⋮ Input-output and state-space representations of finite-dimensional linear time-invariant systems ⋮ Time-dependent linear DAEs with discontinuous inputs ⋮ System structure at infinity ⋮ Unnamed Item ⋮ The role of the dissipation matrix in singular optimal control ⋮ Existence and uniqueness of solutions for a class of piecewise linear dynamical systems
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Strong detectability and observers
- Geometric state-space theory in linear multivariable control: A status report
- Generalizations of singular optimal control theory
- The optimal linear-quadratic time-invariant regulator with cheap control
- Almost invariant subspaces: An approach to high gain feedback design--Part I: Almost controlled invariant subspaces
- Input regularity of cascaded systems
- A strong controllability and observability in linear multivariable control
- External solutions of Riemann-Stieltjes inequalities of linear optimal control
- Singular perturbations and singular arcs--Part II
- Output Controllability and System Synthesis
- The maximally achievable accuracy of linear optimal regulators and linear optimal filters
- A contribution to matrix quadratic equations
This page was built for publication: System structure and singular control