Orthogonal functions approach to optimal control of delay systems with reverse time terms

DOI10.1016/j.jfranklin.2010.08.005zbMath1202.49004OpenAlexW2023340674MaRDI QIDQ613935

B. M. Mohan, Sanjeeb Kumar Kar

Publication date: 23 December 2010

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfranklin.2010.08.005

zbMATH Keywords

linear algebraic equationsblock-pulse functions (BPFs)optimal control lawshifted Legendre polynomials (SLPs)

Mathematics Subject Classification ID

Control problems involving ordinary differential equations (34H05) Existence theories for optimal control problems involving ordinary differential equations (49J15)

Related Items (7)

Approximation based on orthogonal and almost orthogonal functions ⋮ Numerical solutions of optimal control for linear Volterra integrodifferential systems via hybrid functions ⋮ Time optimal control laws for bilinear systems ⋮ Optimal control of nonlinear systems via block pulse functions and Legendre polynomials ⋮ Novel Chebyshev wavelets algorithms for optimal control and analysis of general linear delay models ⋮ Hybrid functions direct approach and state feedback optimal solutions for a class of nonlinear polynomial time delay systems ⋮ Linear optimal control of time delay systems via Hermite wavelet

Cites Work

• Optimal control of linear delay systems via hybrid of block-pulse and Legendre polynomials
• Optimal control of delay systems via block pulse functions
• Piecewise constant orthogonal functions and their application to systems and control
• Numerical solutions of optimal control for linear time-varying systems with delays via hybrid functions
• Optimal control of linear systems with delays in state and control via Walsh functions
• Fourier series approach for the solution of linear two-point boundary value problems with time-varying coefficients
• Analysis, parameter estimation and optimal control of time-delay systems via Chebyshev series
• Suboptimal control of linear time-varying multi-delay systems via shifted Legendre polynomials
• Kronecker products and matrix calculus in system theory
• Analysis of linear time-invariant time-delay systems via orthogonal functions

This page was built for publication: Orthogonal functions approach to optimal control of delay systems with reverse time terms