SIAM Journal on Control and Optimization · 1986 · 909 citations · 3 references
Natural SciencesMathematicsSystems EngineeringDynamical SystemsRobot ControlRoboticsControl Of Dynamical SystemsControl SystemsControl TheoryDynamic ControlSystems Of Differential EquationsControl Of Differential SystemsFinite-time ControlFinite-time StabilityPhase Portrait Analysis
Continuous finite time differential equations are introduced as fast accurate controllers for dynamical systems. These have qualities superior to controllers which are currently in use in such applications as robotics. The structure of the phase portrait for scalar second order finite time systems is determined. This characterization is used to develop a class of second order finite time systems which can be used as controllers.
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J. E. J. · Technometrics · 1979 · 3.1K citations
Some Extensions of Liapunov's Second Method
J. P. LaSalle · IRE Transactions on Circuit Theory · 1960 · 886 citations