The Stability of a Second Order Linear Periodic SystemSource: Journal of Fluids Engineering:;1969:;volume( 091 ):;issue: 002::page 207Author:E. J. Davison
DOI: 10.1115/1.3571064Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: Necessary and sufficient conditions are obtained for the stability of the following second order linear system: ẋ = θ(t)x, θ(t) = θt+i=1lTi and θ(t) = A1, 0<t<T1 = A2, T1<t<T1+T2 ⋮ = Al, i=1l−1Ti<t<i=1lTi in terms of the eigenvalues and elements of the matrices A i , i = 1, 2[[ellipsis]]l. The conditions become very simple for the case that l = 2. An example of a pendulum with a vibrating support is included.
keyword(s): Stability , Eigenvalues , Linear systems AND Pendulums ,
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| contributor author | E. J. Davison | |
| date accessioned | 2017-05-09T00:22:02Z | |
| date available | 2017-05-09T00:22:02Z | |
| date copyright | June, 1969 | |
| date issued | 1969 | |
| identifier issn | 0098-2202 | |
| identifier other | JFEGA4-27332#207_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/134879 | |
| description abstract | Necessary and sufficient conditions are obtained for the stability of the following second order linear system: ẋ = θ(t)x, θ(t) = θt+i=1lTi and θ(t) = A1, 0<t<T1 = A2, T1<t<T1+T2 ⋮ = Al, i=1l−1Ti<t<i=1lTi in terms of the eigenvalues and elements of the matrices A i , i = 1, 2[[ellipsis]]l. The conditions become very simple for the case that l = 2. An example of a pendulum with a vibrating support is included. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | The Stability of a Second Order Linear Periodic System | |
| type | Journal Paper | |
| journal volume | 91 | |
| journal issue | 2 | |
| journal title | Journal of Fluids Engineering | |
| identifier doi | 10.1115/1.3571064 | |
| journal fristpage | 207 | |
| journal lastpage | 210 | |
| identifier eissn | 1528-901X | |
| keywords | Stability | |
| keywords | Eigenvalues | |
| keywords | Linear systems AND Pendulums | |
| tree | Journal of Fluids Engineering:;1969:;volume( 091 ):;issue: 002 | |
| contenttype | Fulltext |