Consider the following standard state-space description of a linear time-invariant single input single output system: \(\dot x = Ax + Bu,y = Cx + Du\) Which one of the following statements about the transfer function should be true if D ≠ 0?

The system is stable
The system is strictly proper
The system is low pass
The system is of type zero

LohaHridoy

5 views

2025-01-04 04:42

1 Answers

AhmedNazir

Option 1 : The system is stable

ẋ = Ax + Bu

y = Cx + Du

Given that, D ≠ 0

y = Cx + Du

If input U is bounded, then output y is also bounded. Hence system is stable.

5 views Answered 2022-09-04 04:29

Related Questions

Which of the following statement(s) is/are CORRECT with respect to BIOS I. It is a set of computer instructions in firmware. II. It controls input and output operations. III. Full form of BIOS is the basic input-output system.?

1 Answers 7 Views

In the question below, are given a statement followed by five courses of actions numbered I, II, III IV and V. On the basis of the information given, you have to assume everything in the statement to be true, and then decide which of the following suggested courses of actions logically follow(s) for pursuing. Statement.- Situation in interiors areas of few districts– like Dantewada, Bijapur or Sukma– is described by the locals as “explosive” as Maoists have asked the villagers not only to boycott polls but also to vacate the area. Course of Actions- I. Police should arrest Maoists in that area. II. State government should provide aids to locals. III. State government should ensure the safety of locals. IV. Election commission should cancel the voting in above said districts. V. State government should instruct police to ensure safety of election officers.?

1 Answers 5 Views

Consider the following statements about the Scheduled Castes and the Scheduled Tribes under the provisions of the Constitution of India : 1. State can make any special provision relating to their admission to the Government educational institutions. 2. State can make any special provision relating to their admission to the private educational institutions aided by the State. 3. State can make any special provision relating to their admission to the private educational institutions not aided by the State. 4. State can make any special provision relating to their admission to the minority educational institutions as described in Article 30. Which of the statements given above are correct?

1 Answers 5 Views

Consider the following statements for continuous-time linear time invariant (LTI) systems. I. There is no bounded input bounded output (BIBO) stable system with a pole in the right half of the complex plane. II. There is no causal and BIBO stable system with a pole in the right half of the complex plane. Which one among the following is correct?

1 Answers 5 Views

In the following question, five statements are given followed by four conclusions I, II, III and IV. You have to consider the given statements to be true even, if they seem to be at variance with commonly known facts. Read all the conclusions and decide which of the following logically follows from the given statements disregarding the commonly known facts. Statements: Some Blue are Color. All Color are Sky. No Rocket is Sky. All Rocket are Space. No Space is Color. Conclusions: I. Some Sky being Space is a possibility. II. Some Blue are Sky. III. Some Color being Rocket is a possibility. IV. Some Blue being Rocket, Space, Sky and Color is a possibility.?

1 Answers 5 Views

Let the input be u and the output is y of a system, and the other parameters are real constants. Identify which among the following systems is not a linear system:?

1 Answers 5 Views

Two processes X and Y need to access a critical section. Consider the following synchronization construct used by both the processes Process /* other code for process */ while(true) { varP = true; while(varQ == true) { /* Critical Section */ varP = false; } } /* other code for process */ Process /* other code for process */ while(true) { varQ = true; while(varP == true) { /* Critical Section */ varQ = false; } } /* other code for process */ Here, varP and varQ are shared variables and both are initialized to false. Which one of the following statements is true?

1 Answers 5 Views

A 4-bar mechanism with all revolute pairs has link lengths lf = 20 mm, lin = 40 mm, lco = 50 mm and lout = 60 mm. The suffixes 'f', 'in', 'co' and 'out' denote the fixed link, the input link, the coupler and output link respectively. Which one of the following statements is true about the input and output links?

1 Answers 6 Views

Consider the following statements for signal flow graph: 1. It represents linear as well as non-linear systems. 2. It is not unique for a given system. Which of the above statements is/are correct?

1 Answers 4 Views

Consider the following opinions regarding the advantage and disadvantage of a Mealy model: 1. Advantage: Less number of states (hence less hardware) Disadvantage: Input transients are directly conveyed to the output 2. Advantage: Output remains stable over the entire clock period. Disadvantage: Input transients persist for a long duration at the output. Which of the above is/are correct?

1 Answers 5 Views

এক্সাম দিয়ে মেধা যাচাই করুন

Job Preparation (1125)

Admission (754)

এসএসসি (10)

এইচএসসি (5)