Hyperstability of Control Systems
Hyperstability of Control Systems
On the matrix riccati equation
Information Sciences: an International Journal
1972 IFAC congress paper: On nonnegative definite solutions to matrix quadratic equations
Automatica (Journal of IFAC)
Technical communique: A result on output feedback linear quadratic control
Automatica (Journal of IFAC)
Technical communique: The regular convex cooperative linear quadratic control problem
Automatica (Journal of IFAC)
Automatica (Journal of IFAC)
Brief paper: Determining quadratic weighting matrices to locate poles in a specified region
Automatica (Journal of IFAC)
Technical Communique: An equivalence result in linear-quadratic theory
Automatica (Journal of IFAC)
Automatica (Journal of IFAC)
A gametheoretic approach for non-uniform pole shifting and pole homothety
Automatica (Journal of IFAC)
Hi-index | 22.16 |
This paper provides a review of one of the basic problems of systems theory-the general time-invariant optimal control problem involving linear systems and quadratic costs. The problem includes on one hand the regulator problem of optimal control and on the other, the theory of linear dissipative systems, itself central to network theory and to the stability theory of feedback systems. The theory is developed using simple properties of dynamical systems and involves a minimum of 'hard' analysis or algebra. It includes a full existence theory of the matrix quadratic equation, of interest in its own right.