On Nonnegative Solutions of the Equation $AD + DA' = - C$
From MaRDI portal
Publication:5603277
DOI10.1137/0118063zbMath0203.33401OpenAlexW1972604030MaRDI QIDQ5603277
Publication date: 1970
Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/0118063
Related Items (38)
Sylvester and Lyapunov equations and some interpolation problems for rational matrix functions ⋮ Two results about the matrix exponential ⋮ On the definiteness of the solutions of certain matrix equations ⋮ On robust and optimal imperfect information state equipartitioning for network systems ⋮ Algebraic characterization of \(A\)-stable Runge-Kutta methods ⋮ Optimal non-reversible linear drift for the convergence to equilibrium of a diffusion ⋮ Inertia of the Stein transformation with respect to some nonderogatory matrices ⋮ Computationally enhanced projection methods for symmetric Sylvester and Lyapunov matrix equations ⋮ A characterization of solutions of the ARE and ARI ⋮ Numerical strategies for recursive least squares solutions to the matrix equation AX = B ⋮ An observer for systems with nonlinear output map. ⋮ Kolmogorov equations for degenerate Ornstein-Uhlenbeck operators ⋮ Controllability, observability and the solution of AX-XB=C ⋮ On the rates of decay to equilibrium in degenerate and defective Fokker-Planck equations ⋮ Stability and inertia ⋮ Maximum principles for elliptic systems ⋮ Some open problems in matrix theory arising in linear systems and control ⋮ A complete algebraic solvability test for the nonstrict Lyapunov inequality ⋮ Optimal semistable control for continuous-time linear systems ⋮ Optimal control for linear and nonlinear semistabilization ⋮ Generalizations of theorems of Lyapunov and Stein ⋮ Long-time asymptotics of a multiscale model for polymeric fluid flows ⋮ Eine Bemerkung zu einem Satz von W. Hahn aus der Stabilitätstheorie linearer Systeme ⋮ Maximum principles for weakly coupled parabolic systems ⋮ Generalized controllability and inertia theory ⋮ Optimality properties of Galerkin and Petrov-Galerkin methods for linear matrix equations ⋮ Controllability and inertia theory for functions of a matrix ⋮ Nonsingular solutions of TA-BT=C ⋮ Analytic approach to the (an)harmonic crystal chains with self-consistent stochastic reservoirs ⋮ On positive semidefinite solutions of the operator Lyapunov equation ⋮ Stationary probability measures for linear differential equations driven by white noise ⋮ Eigenvalue decay bounds for solutions of Lyapunov equations: the symmetric case ⋮ Optimal non-symmetric Fokker-Planck equation for the convergence to a given equilibrium ⋮ On ranges of Lyapunov transformations ⋮ Inertia theorems for matrices, controllability, and linear vibrations ⋮ Stability and inertia theorems for generalized Lyapunov equations ⋮ Factored forms for solutions of \(AX-XB=C\) and \(X-AXB=C\) in companion matrices ⋮ Yet another characterization of solutions of the algebraic Riccati equation
This page was built for publication: On Nonnegative Solutions of the Equation $AD + DA' = - C$