Stability

Jan Awrejcewicz
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Jan Awrejcewicz: Łódź University of Technology, Department of Automation, Biomechanics and Mechatronics

Chapter Chapter 10 in Ordinary Differential Equations and Mechanical Systems, 2014, pp 329-361 from Springer

Abstract: Abstract If a dynamical system is governed by a system of equations 10.1 d y s d t = F s ( t , y 1 , y 2 , … , y n ) , s = 1 , 2 , … , n , $$\displaystyle{ \frac{dy_{s}} {dt} = F_{s}(t,y_{1},y_{2},\ldots,y_{n}),\quad s = 1,2,\ldots,n, }$$ then a point (y 1 … y n ) will be called a phase point, and a space y 1 … y n will be called a phase space.

Keywords: Periodic Orbit; Function Versus; Equilibrium Position; Trivial Solution; Exponential Stability (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1007/978-3-319-07659-1_10

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