Exact controllability of the nonlinear third-order dispersion equation

By Raju K. George, Dimplekumar N. Chalishajar, A. Nandakumaran. 2007

49 citations recorded by the source corpus.

Subfields: Control and Systems Engineering, Mathematical Physics, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/35e153040ead1d2b012afaebbc8267f31efc4189

Citations in the corpus

• Exact and trajectory controllability of second‐order evolution systems with impulses and deviated arguments (2018, unknown): “1, we can prove the exact controllability result for the following nonlocal integro‐differential equation: x′′ðtÞ 1⁄4 AðtÞxðtÞ þ BuðtÞ þ f ðt; xðaðtÞÞ; x1⁄2hðxðtÞ; tÞ Þ þ R t 0 kðt−sÞgðs; xðsÞÞds; t∈ J′ 1⁄4 1⁄20;T ; t≠tk; xð0Þ 1⁄4 x0 þ pðxÞ; x′ð0Þ 1⁄4 y0 þ qðxÞ; aðtÞ≤ t ∀ t∈ J′; ΔxðtkÞ 1⁄4 I(1)kðxðt”