M. D. S. Aliyu

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In this paper, we present an approach to the solution of the Hamilton–Jacobi–Isaacs equation (HJIE) arising in the H∞ control problem for nonlinear systems. We show that the HJIE can be solved analogously to a scalar quadratic equation with some additional side conditions, and present a computational procedure for determining symmetric solutions. Examples(More)
The developmental dynamics of multicellular organisms is a process that takes place in a multi-stable system in which each attractor state represents a cell type, and attractor transitions correspond to cell differentiation paths. This new understanding has revived the idea of a quasi-potential landscape, first proposed by Waddington as a metaphor. To(More)
In this paper, we consider the H∞ filtering problem for discrete-time singularly-perturbed (two time-scale) nonlinear systems. Two types of filters, namely, (i) decomposition; and (ii) aggregate, are discussed, and sufficient conditions for the approximate solvability of the problem in terms of discrete-time Hamilton–Jacobi– Isaacs equations (DHJIEs) are(More)