an:03896768
Zbl 0562.93035
Hwang, Chyi; Chen, Muhyang
Analysis and optimal control of time-varying linear systems via shifted Legendre polynomials
EN
Int. J. Control 41, 1317-1330 (1985).
00150079
1985
j
93C05 42C10 93C99 33C45 44A45 34K35
shifted Legendre polynomial expansion; time-varying systems; quadratic performance index
Summary: This paper extends the application of shifted Legendre polynomial expansion to time-varying systems. The extension is achieved through representing the product of two shifted Legendre series in a new shifted Legendre series. With this treatment of the product of two time functions, the operational properties of the shifted Legendre polynomials are fully applied to the analysis and optimal control of time-varying linear systems with quadratic performance index.