Journal ArticleDOI
Concerning Optimum Control of Linear Distributed Parameter Systems
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In this paper, a distributed parameter system governed by systems of linear partial differential equations has been treated, where the admissibly control functions are assumed to belong to a closed ball in the appropriate Banach space.Abstract:
In this paper distributed parameter systems governed by systems of linear partial differential equations have been treated. The admissibly control functions are assumed to belong to a closed ball in the appropriate Banach space. Formulae have been derived, such that the norm of the control function in the Banach space in which they are assumed to belong is minimized, such that the control becomes simultaneously time optimal.read more
Citations
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Journal ArticleDOI
A survey of optimal control of distributed-parameter systems
TL;DR: This report is a survey of theoretical and computational methods in the field of optimal control of distributed-parameter systems, including systems described by integral equations and partial differential equations.
Journal ArticleDOI
Optimal control in a Banach space
TL;DR: An elementary procedure for obtaining optimality conditions for certain problems where the control process is described by an operator equation in a Banach space or other abstract space is studied.
Journal ArticleDOI
Distributed-parameter control in function space
TL;DR: In this paper, the optimal control of distributed-parameter systems is studied from a function space point of view, and the adjoint-space technique of Balakrishnam is applied to solve a general class of linear distributedparameter final-value problems in Hilbert space.
Journal ArticleDOI
A Hamilton-Jacobi approach to the optimal control of distributed parameter systems†
TL;DR: In this paper, a one-dimensional heat conduction system is optimized with respect to a quadratic performance index using a sampled-data model to obtain a representation of the system for which the standard form of the matrix Riccati equation and the Kalman equation may be employed.
Dissertation
The use of the chatter mode in self-adaptive systems
TL;DR: In this article, the ideal model dynamics is described by a switching function, and the chatter mode is reached quickly and then sustained, the chatter frequency is reduced, and any zero in the plant transfer function is cancelled.
References
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Journal ArticleDOI
Methods of Theoretical Physics. By P.M. Morse and H. Feschbach. 2vols., Pp.xxii, 1978. 120s. each vol. 1953.(McGraw-Hill)
Journal ArticleDOI
A General Minimum Principle for End-point Control Problems†
TL;DR: In this article, a very brood class of end-point control problems is formulated in general terms, and correspondingly general procedures in the calculus of variations are developed for their solution, and the generality of the treatment lies in a systematic application of the point of view of functional analysis.
Journal ArticleDOI
Calculus of Variations, Functional Analysis, Vector Ring and Optimum Control†
TL;DR: The equivalence of the two techniques has been exhibited in this article, where a certain class of regulator problems which has been recently solved by functional analysis techniques can also be solved with the help of the calculus of variations provided generalized functions are also admitted to competition.