Conditions for nonnegativeness of partitioned matrices

DOI10.1109/TAC.1972.1099894zbMath0262.15015OpenAlexW2081271045MaRDI QIDQ5677602

Eliezer Kreindler, Anthony Jameson

Publication date: 1972

Published in: IEEE Transactions on Automatic Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1109/tac.1972.1099894

Mathematics Subject Classification ID

Positive matrices and their generalizations; cones of matrices (15B48)

Related Items

Lower matrix bounds for the continuous algebraic Riccati and Lyapunov matrix equations ⋮ Quadratic stabilization of a collection of linear systems ⋮ Optical projection equations for reduced-order modelling, estimation, and control of linear systems with multiplicative white noise ⋮ Robust H∞ controller design for time-varying uncertain linear systems with time-varying state and control delays ⋮ Memoryless \(H_ \infty\) controller design for linear systems with delayed state and control ⋮ Memoryless stabilization of uncertain dynamic systems with time-varying delayed states and controls ⋮ Quadratic stability and stabilization of switched dynamic systems with uncommensurate internal point delays ⋮ Constructing discontinuity surfaces for variable structure systems: A Lyapunov approach ⋮ Performance improvement using time delays in multivariable controller design ⋮ An analytic approach for computing pi-coefficients of continuous-time systems ⋮ Matrix bounds for the solution of the continuous algebraic Riccati equation ⋮ On stabilizing uncertain linear delay systems ⋮ Robust output feedbackH_∞control of uncertain Markovian jump systems with mode-dependent time-delays ⋮ New solution bounds for the continuous algebraic Riccati equation ⋮ H_∞control of interconnected nonlinear sampled-data systems with parametric uncertainty ⋮ Optimal synthesis of multidimensional state-space digital filters: A general analysis ⋮ Closed-form solutions to discrete-time LQ optimal control and disturbance attenuation ⋮ Temporal stabilizability and compensatability of time-varying linear discrete-time systems with white stochastic parameters ⋮ Design of adaptive variable structure controllers for perturbed time-varying state delay systems ⋮ Robust exponential stabilization for uncertain systems with state and control delay ⋮ Simple criteria for sector root clustering of uncertain systems with multiple time delays ⋮ Robust decentralized nonlinear controller design for multimachine power systems ⋮ Minimal and non-minimal optimal fixed-order compensators for time-varying discrete-time systems ⋮ Multi-input multi-output ellipsoidal state bounding. ⋮ Observer-based robust H_∞, control for uncertain time-delay systems ⋮ UDU factored discrete-time Lyapunov recursions solve optimal reduced-order LQG problems ⋮ Compensatability and optimal compensation of systems with white parameters in the delta domain ⋮ Design of min–max controller with predescribed sliding motion ⋮ \(H_\infty\)-control for linear time-delay systems with Markovian jumping parameters ⋮ Stabilization of a class of linear time-delay systems† ⋮ Optimal adaptive control of partially uncertain linear continuous-time systems with state delay ⋮ A way to stabilize linear systems with delayed state ⋮ Filtering for Interconnected Nonlinear Sampled-Data Systems With Parametric Uncertainties