What are the four axioms for the basic of systems?
What are dynamical systems?
Mathematical models that describe how a system changes over time. They contain differential Equations as well as algebraic Equations.
What are the advantages of siumlation of dynamic Systems?
What is the motivation behind modeling and simulation of dynamic systems?
Explain why modelling is important?
How can a system be classified?
Physical vs. Abstract: A physical system is a tangible entity made up of physical components such as mechanical parts or electronic circuits, while an abstract system is a conceptual or mathematical representation of a system that may not have a physical existence. For example, a mechanical clock is a physical system, while a mathematical model of a clock is an abstract system.
Static or Dynamic components: Static components are memoryless and do not change with time or change very slowly, while dynamic components change with time and the actual state depends on previous state. For example, the resistance of a resistor is a static component, while the voltage across a capacitor is a dynamic component.
Linear or Nonlinear components: Linear components have a proportional relationship between input and output, while nonlinear components do not. Linear components can be described using linear equations, while nonlinear components require more complex equations. Examples of linear components include resistors and capacitors, while diodes and transistors are examples of nonlinear components.
Deterministic or Stochastic components: Deterministic components have a predictable output for a given input, while stochastic components have a random or probabilistic output for a given input. For example, a digital circuit is a deterministic system, while a system that uses a random number generator is a stochastic system.
Time-Invariant or Time-Variant components: Time-invariant components have properties that do not change with time, while time-variant components have properties that vary with time. For example, the resistance of a resistor is time-invariant, while the output of a temperature sensor is time-variant.
Continuous-Time and Discrete-Time systems: Continuous-time systems operate continuously over time, while discrete-time systems operate at specific points in time. Continuous-time systems are described using differential equations, while discrete-time systems are described using difference equations. For example, an analog signal processing system is a continuous-time system, while a digital signal processing system is a discrete-time system.
In system classification what is the difference between "decomposition" and "Composition"?
In system classification, "decomposition" refers to the process of breaking down a system into smaller, more manageable components or subsystems. This can make it easier to analyze, design, and manage the system as a whole.
"Composition," on the other hand, refers to the process of combining these smaller subsystems to form a larger, more complex system. This involves understanding how the subsystems are interdependent and how they interact with one another to achieve the overall goal of the system.
In summary, decomposition and composition are two complementary processes that are used to understand and design complex systems. Decomposition breaks down a system into smaller, more manageable subsystems, while composition brings these subsystems together to form a larger, more complex system.
Explain what independent, cacaded and coupled means in terms of system classification?
What are the two main aspects considered for modeling dynamic systems?
The two main aspects considered for modeling dynamic systems are levels of system specification and system specification formalism. Levels of system specification refer to the different levels at which we can describe how systems behave and the mechanism that makes them work the way they do. System specification formalism refers to the different types of modeling styles that modelers can use to build system models, such as continuous or discrete. Both aspects are important in developing accurate and useful models of dynamic systems.
What factors are considered during the development of a mathematical model?
Factors considered when developing a mathematical model include system boundaries, components, interactions, analysis type (steady state/transient), assumptions, and the balance between simplicity and accuracy.
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