The matrix minimum principle.
Pontryagin maximum principle restated to apply to systems described by matrix, optimizing performance of linear system
Athans, M.↗
Engineering topics
Athans, M.
Publications and source records attributed to Athans, M..
Attitude Control of a Satellite in Circular Orbit
Fuel optimal control conditions in attitude correction of satellite in circular orbit determined using maximum principle, solving resulting boundary value problem
FUEL CONSUMPTION↗
The matrix minimum principle
Extension of Pontryagin maximum principle and application of matrix minimum principle in solving simple optimal linear regulator problem
MATRIX ANALYSIS↗
Optimal waveform design via control theoretic concepts.
Design of optimal waveforms for optimal estimation or prediction of state of linear dynamical system in presence of Markov and white noise
SYSTEMS DESIGN↗
The design of suboptimal linear time-varying systems.
Suboptimal feedback laws for control of linear time varying systems
Athans, M.↗
On the uniqueness of the extremal controls for a class of minimum fuel problems.
Uniqueness of extremal controls for minimum fuel problems pertaining to single input linear time- invariant systems
LINEAR SYSTEM↗
The status of optimal control theory and applications for deterministic systems.
Deterministic optimal control, discussing Bellman dynamic programming method, Pontryagin maximum principle, orbital transfer, interplanetary guidance, etc
OPTIMAL CONTROL↗
An iterative technique for the computation of time optimal controls.
Iterative solution of time optimal control boundary value problem resulting from application of Pontryagin maximum principle
ITERATIVE SOLUTION↗
On the existence of inflection points in minimum energy problems.
Existence of inflection points in cost vs terminal time curve for linear minimum energy regulator
REGULATOR↗
The discrete minimum principle with application to the linear regulator problem
Discrete minimum principle to derive feedback control law for linear discrete-time systems
OPTIMIZATION↗
The status of optimal control theory and applications for deterministic systems.
Deterministic optimal control, discussing Bellman dynamic programming method, Pontryagin maximum principle, orbital transfer, interplanetary guidance, etc
VECTOR ANALYSIS↗