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There are several advantages to using the state space representation compared with other methods. Some of these are:
the ability to easily handle systems with multiple inputs and outputs;
the system model includes the internal state variables as well as the output variable;
the model directly provides a time-domain solution, which ultimately is the thing of interest;
the form of the solution is the same as for a single 1st-order differential equation;
the effect of initial conditions can be easily incorporated in the solution;
the matrix/vector modeling is very efficient from a computational standpoint for computer implementation
What else can I help you with?
Give the formula of state ohms law?
There is no equation for Ohm's Law. Ohm's Law simply tells us that, for ohmic or linear materials, the ratio of voltage to current is a constant.The equation you are, presumably, looking for is derived from the definition of the ohm, not from Ohm's Law, and that is resistance is voltage divided by current.
What is the electrical college?
The Electoral College is a unique system used in the United States for electing the president and vice president. It comprises 538 electors, with each state allocated a number of electors based on its representation in Congress (the sum of its Senators and Representatives). During the presidential election, voters cast their ballots for a slate of electors pledged to a specific candidate, and the majority of electors from each state typically support the candidate who wins the popular vote in that state. The candidate who receives a majority of the electoral votes (at least 270) wins the presidency.
The vector representation of a convolutional code is g1=[1 1]and g2=[1 0]. If the received sequence is 11 11 01 10, please use Viterbi Algorithm to decode it. Please show the full trellis diagram, including the updated trellis state metrics?
The vector representation of a convolutional code is g1=[1 1] and g2=[1 0]. If the received sequence is 11 11 01 10, we can use Viterbi Algorithm to decode it. The full trellis diagram, including the updated trellis state metrics, is shown below: Time t1: State 0 (00): Metric = 0 State 1 (10): Metric = 0 Time t2: State 0 (00): Metric = 0 + (1-1)^2 + (1-1)^2 = 0 State 1 (10): Metric = 0 + (1-1)^2 + (1-0)^2 = 1 Time t3: State 0 (00): Metric = 0 + (1-1)^2 + (1-1)^2 = 0 State 1 (10): Metric = 1 + (1-1)^2 + (1-0)^2 = 2 State 0 (01): Metric = 0 + (1-1)^2 + (0-1)^2 = 1 State 1 (11): Metric = 0 + (1-1)^2 + (0-0)^2 = 0 Time t4: State 0 (00): Metric = 0 + (1-1)^2 + (1-1)^2 = 0 State 1 (10): Metric = 2 + (1-1)^2 + (1-0)^2 = 3 State 0 (01): Metric = 1 + (1-1)^2 + (0-1)^2 = 2 State 1 (11): Metric = 0 + (1-1)^2 + (0-0)^2 = 0 Therefore, the decoded sequence is 11 11 01 10.
Transient and steady state response of RC circuit?
To evaluate the transient response of an RC circuit, you start with the steady state just prior to the transient, i.e. just prior to the switch being opened or closed, or just prior to whatever transient event you are modeling. Since you are steady state, assume that capacitors are not present, i.e. they are resistors with infinite impedance. Calculate the voltage and current at each node, using Ohm's law and/or Kirchoff's law and/or Norton/Thevanin equivalents as necessary. Remember that capacitors resist a change in voltage. The equation is dv/dt = i/c. At t=0, assume that each capacitor has the voltage calculated from the initial steady state condition. Initiate the transient and calculate the voltage and current at each node using the initial state differential equation. You can do this analytically, or you can model it in software. If you model, pick an appropriate delta-T, and do a step wise evaluation until the voltages and current settle to their new values. Adjust delta-T to make sure that you are getting consistent results. Just don't go too short, as truncation error can bias the results.
What state does the source return to after the electrical discharge in state electricity?
The source returns to a balanced state.
Why are there the same numbers in the US Senate for each State?
The bicameral Congress of the United States is a compromise between large and small states. Large states have the advantage in the House because each state's representation is roughly proportional to its population, and small states have the advantage in the Senate because every state has the same representation no matter how large or small it is.
How is each state's representation in the senate determined?
It is based on equal representation for each state.
How is each state representation the senate determined?
It is based on equal representation for each state.
What did rural over representation at the state level translate into?
Rural over representation at the state level translated into rural over-representation at the national level.
What is a phase diagram of a differential equation?
A phase diagram of a differential equation is a graphical representation that illustrates the trajectories of a dynamical system in the state space defined by its variables. Each point in the diagram corresponds to a particular state of the system, with arrows indicating the direction of movement over time based on the system's behavior. Phase diagrams help visualize stability, equilibrium points, and the overall dynamics of the system, making them essential tools in understanding the qualitative behavior of differential equations.
What is equivalent equation in control systems?
In control systems, an equivalent equation is a mathematical representation that relates the input, output, and internal states of a system. It typically expresses the dynamics of the system in a standardized form, such as transfer functions or state-space representations. By using equivalent equations, engineers can analyze and design control systems more effectively, ensuring that different representations of the same system yield consistent behavior and performance.
What is representation by population?
Representation by population is the idea that the number of representatives your state has is dependent on the amount of people in the state.
How is state representation determined?
Representation in the Senate is equal between all states. Each state gets two senators.
How is each states representation in senate determined?
It is based on equal representation for each state.
What are advantage and disadvantage of federal structure of state ppt?
what is the advantage and disadvantage of federal state stracture
How does the great compromise address the needs of both the large and small states?
The great compromise was the Constitutional Convention's agreement to establish a two-house national legislature,with all states having equal representation in one house and each state having representation based on its population in the other house.
What did Benjamin Franklin think about state representation?
Benjamin Franklin was all for State Representation. From his point of view, it was the only way for all the states to be united as a country.
