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Regular version of the site

Book

Viscosity Solution for Design of Control Nonlinear Uncertain Systems

M.: Грифон, 2015.

The problem of optimal control for a class of nonlinear objects with uncontrolled bounded disturbances is formulated in the key of differential game. For problems with a quadratic quality functional task of searching for the optimal control reduces the need to find solutions to the scalar partial differential equation Hamilton-Jacobi-Isaacs. Finding solutions to this equation in the operation rate of the object by means of special algorithmic procedures obtained by using the theory of viscous solutions. The results can be used to solve theoretical and practical problems that occur in mathematics, mechanics, physics, biology, chemistry, engineering sciences, control and navigation.

Viscosity Solution for Design of Control Nonlinear Uncertain Systems