18.03SCF11 text: Sketching the Basic Linear Systems

18.03SCF11 text: Structural Stability for Non-linear Systems

In other words, the method of linearization to analyze a non-linear sys­ tem near a critical point doesn’t fail entirely, but we don’t end up with a definite picture of the non-linear system near P; we only get a list of possi­ bilities. In general one has to rely on computation or more powerful ana­ lytic tools to get a clearer answer. The first thing to try is a computer picture of the non-li...

Current Discussions on Digital Sketching in the Early Stages of Architectural Design in Education

In the architectural design, designers are focused on the early stages of the design process or conceptual design. The ultimate goal of this stage is to find a solution for an existing problem, investigate design space, or explore an idea. This stage conventionally begins with sketches and diagrams to explore ideas and solutions; the ambiguity and vagueness of conventional freehand sketching ca...

OPTIMAL LOT-SIZING DECISIONS WITH INTEGRATED PURCHASING, MANUFACTURING AND ASSEMBLING FOR REMANUFACTURING SYSTEMS

This work applies fuzzy sets to the integration of purchasing, manufacturing and assembling of production planning decisions with multiple suppliers, multiple components and multiple machines in remanufacturing systems. The developed fuzzy multi-objective linear programming model (FMOLP) simultaneously minimizes total costs, total $text{CO}_2$ emissions and total lead time with reference to cus...

Sketching More General Linear Systems

POTENTIAL ENERGY BASED STABILITY ANALYSIS OF FUZZY LINGUISTIC SYSTEMS

This paper presents the basic concepts of stability in fuzzy linguistic models. Theauthors have proposed a criterion for BIBO stability analysis of fuzzy linguistic modelsassociated to linear time invariant systems [25]-[28]. This paper presents the basic concepts ofstability in the general nonlinear and linear systems. This stability analysis method is verifiedusing a benchmark system analysis.