论文信息 - A contribution to matrix quadratic equations

A contribution to matrix quadratic equations

The well-known matrix algebraic equation of the optimal control and filtering theory is considered. A necessary and sufficient condition for its solution to yield an optimal as well as asymptotically stable closed-loop system is given. The condition involves the concepts of stabilizability and detectability.

V. Kučera

[1] R. E. Kalman,et al. Contributions to the Theory of Optimal Control , 1960 .

[2] R. E. Kalman,et al. When Is a Linear Control System Optimal , 1964 .

[3] J. Potter. Matrix Quadratic Solutions , 1966 .

[4] W. Wonham. On a Matrix Riccati Equation of Stochastic Control , 1968 .

[5] M.L.J. Hautus,et al. Controllability and observability conditions of linear autonomous systems , 1969 .

[6] M. Hautus. Stabilization, controllability and observability of linear autonomous systems , 1970 .

[7] K. Mrtensson. On the matrix riccati equation , 1971 .