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Design Autonomous Systems with Guarantee. Gain the skills to model, specify, verify, and synthesize autonomous systems with guaranteed safety
Instructor: Majid Zamani
Included with
(13 reviews)
Recommended experience
Intermediate level
It is recommended to have a basic understanding of differential equations, linear algebra, and calculus.
(13 reviews)
Recommended experience
Intermediate level
It is recommended to have a basic understanding of differential equations, linear algebra, and calculus.
Model basic autonomous systems including linear control systems, sequential circuits, and simple timed automata in a unified manner
Synthesize controllers to meet safety, reachability, persistence, and recurrence specifications for finite systems using fixed-point algorithms
Conduct model checking for finite systems
Describe regular or omega-regular expressions, linear temporal logic formulas, and their corresponding automata representations.
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This specialization provides a comprehensive overview of designing and analyzing autonomous systems. It begins with an examination of fundamental components like sensors, actuators, and communication networks, then delves into formal modeling frameworks such as state-space representations, timed automata, and hybrid automata. Then formal modeling of system requirements, including stability, reachability, and specifications framed by linear temporal logic formulas is discussed. Verification techniques such as Lyapunov theories and model checking are explored, followed by a segment on synthesizing controllers to enforce specified properties, employing techniques like finite abstraction construction and controller refinement.
Courses in this specialization can be taken for academic credit as part of CU Boulder’s MS in Computer Science degrees offered on the Coursera platform. These fully accredited graduate degrees offer targeted courses, short 8-week sessions, and pay-as-you-go tuition. Admission is based on performance in three preliminary courses, not academic history. CU degrees on Coursera are ideal for recent graduates or working professionals. Learn more:
MS in Computer Science: https://coursera.org/degrees/ms-computer-science-boulder
Applied Learning Project
Throughout the specialization, learners will complete assignments to model and analyze autonomous systems and their behaviors. In the third course of the specialization, Verification and Synthesis of Autonomous Systems, learners will have an optional, exploratory lab.
Model basic autonomous systems including linear control systems, sequential circuits, and simple timed automata in a unified fashion
Describe solutions and behaviors of systems
Define and illustrate interconnections between system
Utilize formal methods to specify and verify requirements for autonomous systems.
Model system behaviors and verify stability using various analytical methods.
Apply reachable set computation and robustness analysis in system design.
Analyze stability properties of linear systems
Compute over-approximations of reachable sets for some classes of systems
Perform model checking for finite systems
Synthesize controllers for safety and reachability specifications for finite systems using fixed-point algorithms
CU Boulder is a dynamic community of scholars and learners on one of the most spectacular college campuses in the country. As one of 34 U.S. public institutions in the prestigious Association of American Universities (AAU), we have a proud tradition of academic excellence, with five Nobel laureates and more than 50 members of prestigious academic academies.
This Specialization is part of the following degree program(s) offered by University of Colorado Boulder. If you are admitted and enroll, your completed coursework may count toward your degree learning and your progress can transfer with you.¹
University of Colorado Boulder
Degree · 24 months
University of Colorado Boulder
Degree · 2 years
University of Colorado Boulder
Degree · 2 years
University of Colorado Boulder
Degree · 6-9 months
¹Successful application and enrollment are required. Eligibility requirements apply. Each institution determines the number of credits recognized by completing this content that may count towards degree requirements, considering any existing credits you may have. Click on a specific course for more information.
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It is recommended to have a basic understanding of differential equations, linear algebra, and calculus.
It is recommended to take the specialization sequentially: Modeling of Autonomous Systems, Requirement Specifications for Autonomous Systems, Verification and Synthesis of Autonomous Systems.
Courses part of Foundations of Autonomous Systems can be completed to earn credit in the MS-CS program at the University of Colorado, Boulder.
This course is completely online, so there’s no need to show up to a classroom in person. You can access your lectures, readings and assignments anytime and anywhere via the web or your mobile device.
If you subscribed, you get a 7-day free trial during which you can cancel at no penalty. After that, we don’t give refunds, but you can cancel your subscription at any time. See our full refund policy.
Yes! To get started, click the course card that interests you and enroll. You can enroll and complete the course to earn a shareable certificate, or you can audit it to view the course materials for free. When you subscribe to a course that is part of a Specialization, you’re automatically subscribed to the full Specialization. Visit your learner dashboard to track your progress.
Yes. In select learning programs, you can apply for financial aid or a scholarship if you can’t afford the enrollment fee. If fin aid or scholarship is available for your learning program selection, you’ll find a link to apply on the description page.
When you enroll in the course, you get access to all of the courses in the Specialization, and you earn a certificate when you complete the work. If you only want to read and view the course content, you can audit the course for free. If you cannot afford the fee, you can apply for financial aid.
Financial aid available,
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