摘要:

This paper defines the problem of maximizing the extent of the region of asymptotic stability by parameter or control-law design. The exact solution is indicated in terms of the Zubov—Liapunov function. Approximate solutions are given using other Liapunov functions.

ISSN:0020-7179    

DOI:10.1080/00207177008931864

出版商:Taylor & Francis Group    

年代:1970

数据来源: Taylor

摘要:

A perturbation method for the numerical solution of optimization problems subject to inequality constraints explicitly containing the control is introduced. The effective ness of the computational algorithm is tested on the problem of optimizing the two-dimensional motion of a lifting re-entry vehicle, where the control variable (lift coefficient) is subject to an inequality constraint. Two iteration philosophies for correcting errors in the boundary conditions are suggested. With errors in the unknown boundary values in excess of 100%, the procedure converged to a terminal error norm of 4·15 × 10−11in 11 iterations using the more rapidly convergent iteration procedure.

ISSN:0020-7179    

DOI:10.1080/00207177008931865

出版商:Taylor & Francis Group    

年代:1970

数据来源: Taylor

摘要:

A function-space method using an integral equation representation of the second variation is applied to inequality-constrained optimal control problems. Numerical solutions for a bang-bang control problem and a singular control problem are solved using the computational algorithm.

ISSN:0020-7179    

DOI:10.1080/00207177008931866

出版商:Taylor & Francis Group    

年代:1970

数据来源: Taylor

摘要:

A simple method is described for obtaining the inverse of a Vandermonde matrix by the use of Lagrange's undetermined multipliers. The advantage of the method is that it avoids the computation of any determinant.

ISSN:0020-7179    

DOI:10.1080/00207177008931867

出版商:Taylor & Francis Group    

年代:1970

数据来源: Taylor

摘要:

In a recent article in thisJournal, Porter (1969 a) described a simple and attractive alternative procedure for synthesizing a linear feedback control law which will realize a certain pre-selected closed-loop eigenvalue pattern for a linear dynamical system. The purpose of the present note is to investigate the conditions for applicability of Porter's method. In addition, another method is proposed.

ISSN:0020-7179    

DOI:10.1080/00207177008931868

出版商:Taylor & Francis Group    

年代:1970

数据来源: Taylor

摘要:

In view of the singular nature of the letter by Johnson (1970), the following comments are made on the various sections of Johnson's letterseriatim, starting with Johnson's summary:

ISSN:0020-7179    

DOI:10.1080/00207177008931869

出版商:Taylor & Francis Group    

年代:1970

数据来源: Taylor

ISSN:0020-7179    

DOI:10.1080/00207177008931870

出版商:Taylor & Francis Group    

年代:1970

数据来源: Taylor

ISSN:0020-7179    

DOI:10.1080/00207177008931871

出版商:Taylor & Francis Group    

年代:1970

数据来源: Taylor