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APPLICATION OF LINEAR PROGRAMMING
TO TIME OPTIMAL CONTROL
1 other sections not shown
01 in magnitude absolute value boundary considered Control Amplitude Limitations control function control input control law control sequence vector Controllable Plants controller stores Cornell Aeronautical Laboratory difference equation X(K dimensional real space DTQD equilibrium point Euclidean distance Figure final value follows force the plant fundamental matrix given by equation initial state X(0 inverse matrix theory investigated Laplace transform linear programming linear transformation linearly independent matrix equation A X Minimal Euclidean minimum norm problem minimum number minimum-time problem n x m matrix N-stage number of sampling obtained one-stage process optimal control sequence optimum plant is controllable Problem P-l rank right inverse matrix row-reduced echelon matrix sampled-data system sampling periods satisfies equation satisfy the matrix solution to equation solved stage process stationary point steady state error stores the coordinates Substituting techniques Theorem transformation two-stage process unique vector difference equation Zadeh zero