Journal ArticleDOI
Optimal control for nonlinear processes
E. B. Lee,Lawrence Markus +1 more
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Citations
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Journal ArticleDOI
Natural Bilinear Control Processes
TL;DR: It is shown that these so-called bilinear systems have a variable dynamical structure that makes them quite controllable and may utilize appropriately controlled unstable modes of response to enhance controllability.
Book ChapterDOI
Control of Distributed Parameter Systems1
TL;DR: In this article, the authors review the control of distributed parameter systems and classify them according to their spatial domain properties: (1) fixed-domain systems and (2) variable domain systems.
Journal ArticleDOI
Stability in general control systems.
TL;DR: Axiomatic approach to control system theory as generalization of dynamic systems, noting weak and strong stability and Liapunov function as mentioned in this paper, is presented in Section 2.1.
Journal ArticleDOI
An historical survey of computational methods in optimal control.
TL;DR: This paper shall highlight some of the salient theoretical developments in the specific area of algorithms for optimal control aimed at unconstrained problems and derived by using first and second variation methods of the calculus of variations.
References
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Book
Theory of Ordinary Differential Equations
TL;DR: The prerequisite for the study of this book is a knowledge of matrices and the essentials of functions of a complex variable as discussed by the authors, which is a useful text in the application of differential equations as well as for the pure mathematician.
Journal ArticleDOI
On the general theory of control systems
TL;DR: In this paper, a general theory of control systems is outlined which answers many basic questions (what is controllable? why? how?) and gives a highly efficient method of computation.
Journal ArticleDOI
On the “bang-bang” control problem
TL;DR: In this paper, the authors considered the case where all the solutions of Z = Az approach zero as t approaches infinity, and the problem of choosing f so as to reduce z to 0 in minimum time.
Journal ArticleDOI
Global stability criteria for differential systems
Lawrence Markus,Hidehiko Yamabe +1 more