3. Construct a suitable Liaponov function of the form ax + by and use it to determine the type of stability of the origin in each of the following systems: dx dx = 3x'y' - x' dt (b) dy =x' + 3x*y' dt = y' - 3x'y dt =-3x'y² - y' dt
3. Construct a suitable Liaponov function of the form ax + by and use it to determine the type of stability of the origin in each of the following systems: dx dx = 3x'y' - x' dt (b) dy =x' + 3x*y' dt = y' - 3x'y dt =-3x'y² - y' dt
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 17EQ
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