摘要:

This work is concerned with the optimal scanning control of a dynamical system whose behaviour is described by a second-order parabolic partial differential equation. The control is given under the form of a single pointwise control moving along a trajectory on the system's spatial domain. The cases where the spatial domain is bounded and unbounded are considered. The existence of optimal solutions for the problem involving the minimization of a given quadratic cost functional is established. Certain necessary conditions for optimality are given in the form of a non-linear two-point boundary-value problem which, under additional conditions, admits a unique solution.

ISSN:0020-7179    

DOI:10.1080/00207177508921989

出版商:Taylor & Francis Group    

年代:1975

数据来源: Taylor

摘要:

Singular controls have appeared rather frequently in dynamic optimization problems during the last two decades. Although special methods have been effective in analysing these singular problems, it is only recently that a unifying theory has been developed. This survey paper traces the early developments in the subject through to the most recent work of Jacobson and others in the establishment of necessary, sufficient, and necessary and sufficient conditions for optimality of singular extremals.

ISSN:0020-7179    

DOI:10.1080/00207177508921990

出版商:Taylor & Francis Group    

年代:1975

数据来源: Taylor

摘要:

This paper deals with a general Liapunov function for multi-machine power systems taking into account the effects of damping and transfer conductances. Then-machine power system is described by variables of order (2n—1) in the minimal state spaco. The derivation follows from the Liapunov theory and the generalized Popov criterion for multi-variable feedback systems due to Anderson. The criterion of Willems for the optimum Liapunov function is incorporated and hence it yields a large transient stability region. The same function is suitable with proper substitutions to study the cases of a power system with non-uniform or uniform damping either with or without the effect of transfer conductances.

ISSN:0020-7179    

DOI:10.1080/00207177508921991

出版商:Taylor & Francis Group    

年代:1975

数据来源: Taylor

ISSN:0020-7179    

DOI:10.1080/00207177508921992

出版商:Taylor & Francis Group    

年代:1975

数据来源: Taylor

ISSN:0020-7179    

DOI:10.1080/00207177508921993

出版商:Taylor & Francis Group    

年代:1975

数据来源: Taylor

ISSN:0020-7179    

DOI:10.1080/00207177508921994

出版商:Taylor & Francis Group    

年代:1975

数据来源: Taylor