On the equivalent bilinearization of non-linear controlled delay systems

Open Access

1 October 1986

journal article
research article
Published by Taylor & Francis in International Journal of Systems Science

Vol. 17 (10) , 1389-1398
https://doi.org/10.1080/00207728608926895

Abstract

Taylor polynomials are used to obtain an equivalent bilinear system for a non-linear analytic delay equation with control and the optimal control of the resulting bilinear system is considered.

Keywords

This publication has 10 references indexed in Scilit:

Linear and bilinear infinite-dimensional representations of finite-dimensional non-linear systems
International Journal of Systems Science, 1985
On a class of suboptimal controls for infinite-dimensional bilinear systems
Systems & Control Letters, 1985
Stabilizing optimal control of bilinear systems with a generalized cost
Optimal Control Applications and Methods, 1984
Global transformations of nonlinear systems
IEEE Transactions on Automatic Control, 1983
Transformation of a nonlinear system into an augmented linear system
IEEE Transactions on Automatic Control, 1979
Infinite Dimensional Linear Systems Theory
Published by Springer Nature ,1978
Multilinear Algebra
Published by Springer Nature ,1978
Controllability, Observability and Optimal Feedback Control of Affine Hereditary Differential Systems
SIAM Journal on Control, 1972
Functional Differential Equations
Published by Springer Nature ,1971
Time Lag in Prey-Predator Population Models
Ecology, 1957