Topic
Nonlinear programming
About: Nonlinear programming is a research topic. Over the lifetime, 19486 publications have been published within this topic receiving 656602 citations. The topic is also known as: non-linear programming & NLP.
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TL;DR: This work provides a comprehensive and detailed literature review in terms of significant theoretical contributions, algorithmic developments, software implementations and applications for both MINLP and CDFO, and shows their individual prerequisites, formulations and applicability.
195 citations
TL;DR: A streamlined implementation is presented for constrained linear systems and the formulation is shown to be nominally stabilizing in the presence of constraints provided inconsistent state constraints are relaxed.
195 citations
TL;DR: This work provides an overview of Enterprise-wide Optimization in terms of a mathematical programming framework, and describes several applications to show the potential of this area.
194 citations
TL;DR: In this paper, a canonical nonlinear programming circuit for simulating general non-linear programming problems has been developed using the Kuhn-Tucker conditions from mathematical programming theory, which is canonical in the sense that its topology remains unchanged and that it requires only a minimum number of 2terminal nonlinear circuit elements.
Abstract: Using the Kuhn-Tucker conditions from mathematical programming theory, a canonical nonlinear programming circuit for simulating general nonlinear programming problems has been developed. This circuit is canonical in the sense that its topology remains unchanged and that it requires only a minimum number of 2-terminal nonlinear circuit elements. Rather than solving the problem by iteration using a digital computer, we obtain the answer by setting up the associated nonlinear programming circuit and measuring the node voltages. In other words, the nonlinear programming circuit is simply a special purpose analog computer containing a repertoire of nonlinear function building blocks. To demonstrate the feasibility and advantage of this approach, several circuits have been built and measured. In all cases, the answers are obtained almost instantaneously in real time and are accurate to within 3 percent of the exact answers.
194 citations
Book•
01 Jan 1968
TL;DR: In this article, a book on nonlinear systems analysis and design covering parameter mapping, symmetrical, transient and forced oscillations and stability analysis is presented. But the authors do not cover the analysis of nonlinear system dynamics.
Abstract: Book on nonlinear systems analysis and design covering parameter mapping, symmetrical, transient and forced oscillations and stability analysis
194 citations