{"id":54876,"date":"2024-04-16T00:17:45","date_gmt":"2024-04-16T00:17:45","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=54876"},"modified":"2024-04-16T00:17:45","modified_gmt":"2024-04-16T00:17:45","slug":"consider-the-following-statements-for-continuous-time-linear-time-invariant-lti-systems-1-there-is-no-bounded-input-bounded-output-bibo-stable-system-with-a-pole-in-the-right-half-of-the-complex","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/consider-the-following-statements-for-continuous-time-linear-time-invariant-lti-systems-1-there-is-no-bounded-input-bounded-output-bibo-stable-system-with-a-pole-in-the-right-half-of-the-complex\/","title":{"rendered":"Consider the following statements for continuous-time linear time invariant (LTI) systems. 1. There is no bounded input bounded output (BIBO) stable system with a pole in the right half of the complex plane. 2. 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?"},"content":{"rendered":"<p>[amp_mcq option1=&#8221;Both 1 and 2 are true&#8221; option2=&#8221;Both 1 and 2 are not true&#8221; option3=&#8221;Only 1 is true&#8221; option4=&#8221;Only 2 is true&#8221; correct=&#8221;option1&#8243;]<!--more--><\/p>\n<p>The correct answer is: <strong>A. Both 1 and 2 are true.<\/strong><\/p>\n<p>A continuous-time linear time invariant (LTI) system is said to be BIBO stable if the output remains bounded for all bounded inputs. The system is said to be causal if the output does not precede the input.<\/p>\n<p>The poles of a system are the roots of the characteristic equation of the system. The characteristic equation is a polynomial equation that relates the input and output of the system. The poles of a system determine the stability of the system.<\/p>\n<p>If a system has a pole in the right half of the complex plane, then the system is not BIBO stable. This is because the output of the system will grow unbounded for any bounded input.<\/p>\n<p>If a system is causal, then it cannot have a pole in the right half of the complex plane. This is because the output of a causal system cannot precede the input.<\/p>\n<p>Therefore, both statements 1 and 2 are true.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>[amp_mcq option1=&#8221;Both 1 and 2 are true&#8221; option2=&#8221;Both 1 and 2 are not true&#8221; option3=&#8221;Only 1 is true&#8221; option4=&#8221;Only 2 is true&#8221; correct=&#8221;option1&#8243;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[959],"tags":[],"class_list":["post-54876","post","type-post","status-publish","format-standard","hentry","category-signal-processing","no-featured-image-padding"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v22.2 (Yoast SEO v23.3) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Consider the following statements for continuous-time linear time invariant (LTI) systems. 1. There is no bounded input bounded output (BIBO) stable system with a pole in the right half of the complex plane. 2. 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?<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/exam.pscnotes.com\/mcq\/consider-the-following-statements-for-continuous-time-linear-time-invariant-lti-systems-1-there-is-no-bounded-input-bounded-output-bibo-stable-system-with-a-pole-in-the-right-half-of-the-complex\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Consider the following statements for continuous-time linear time invariant (LTI) systems. 1. There is no bounded input bounded output (BIBO) stable system with a pole in the right half of the complex plane. 2. 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?\" \/>\n<meta property=\"og:description\" content=\"[amp_mcq option1=&#8221;Both 1 and 2 are true&#8221; option2=&#8221;Both 1 and 2 are not true&#8221; option3=&#8221;Only 1 is true&#8221; option4=&#8221;Only 2 is true&#8221; correct=&#8221;option1&#8243;]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/consider-the-following-statements-for-continuous-time-linear-time-invariant-lti-systems-1-there-is-no-bounded-input-bounded-output-bibo-stable-system-with-a-pole-in-the-right-half-of-the-complex\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2024-04-16T00:17:45+00:00\" \/>\n<meta name=\"author\" content=\"rawan239\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"rawan239\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minute\" \/>\n<!-- \/ Yoast SEO Premium plugin. -->","yoast_head_json":{"title":"Consider the following statements for continuous-time linear time invariant (LTI) systems. 1. There is no bounded input bounded output (BIBO) stable system with a pole in the right half of the complex plane. 2. 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?","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/exam.pscnotes.com\/mcq\/consider-the-following-statements-for-continuous-time-linear-time-invariant-lti-systems-1-there-is-no-bounded-input-bounded-output-bibo-stable-system-with-a-pole-in-the-right-half-of-the-complex\/","og_locale":"en_US","og_type":"article","og_title":"Consider the following statements for continuous-time linear time invariant (LTI) systems. 1. There is no bounded input bounded output (BIBO) stable system with a pole in the right half of the complex plane. 2. 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?","og_description":"[amp_mcq option1=&#8221;Both 1 and 2 are true&#8221; option2=&#8221;Both 1 and 2 are not true&#8221; option3=&#8221;Only 1 is true&#8221; option4=&#8221;Only 2 is true&#8221; correct=&#8221;option1&#8243;]","og_url":"https:\/\/exam.pscnotes.com\/mcq\/consider-the-following-statements-for-continuous-time-linear-time-invariant-lti-systems-1-there-is-no-bounded-input-bounded-output-bibo-stable-system-with-a-pole-in-the-right-half-of-the-complex\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2024-04-16T00:17:45+00:00","author":"rawan239","twitter_card":"summary_large_image","twitter_misc":{"Written by":"rawan239","Est. reading time":"1 minute"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/exam.pscnotes.com\/mcq\/consider-the-following-statements-for-continuous-time-linear-time-invariant-lti-systems-1-there-is-no-bounded-input-bounded-output-bibo-stable-system-with-a-pole-in-the-right-half-of-the-complex\/","url":"https:\/\/exam.pscnotes.com\/mcq\/consider-the-following-statements-for-continuous-time-linear-time-invariant-lti-systems-1-there-is-no-bounded-input-bounded-output-bibo-stable-system-with-a-pole-in-the-right-half-of-the-complex\/","name":"Consider the following statements for continuous-time linear time invariant (LTI) systems. 1. 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