Displaying similar documents to “On the quadratic optimal control problem for Volterra integro-differential equations”

On the optimal continuous decentralized control of non-linear dynamical multivariable systems about the origin.

Manuel de la Sen Parte (1987)

Trabajos de Investigación Operativa

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This paper deals with the local (around the equilibrium) optimal decentralized control of autonomous multivariable systems of nonlinearities and couplings between subsystems which can be expressed as power series in the state-space are allowed in the formulation. They only affect for the optimal performance integrals in cubic and higher terms in the norm of the initial conditions of the dynamical differential system. The basic hypothesis which is made is that the system is centrally-stabilizable...

Admissible disturbance sets for discrete perturbed systems

Jamal Bouyaghroumni, Abdelhaq El Jai, Mostafa Rachik (2001)

International Journal of Applied Mathematics and Computer Science

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We consider a discrete disturbed system given by the difference bilinear equation where are disturbances which excite the system in a linear and a bilinear form. We assume that the system is augmented with the output function. Let be a tolerance index on the output. The disturbance is said to be -admissible if, where is the output signal associated with the case of an uninfected system. The set of all -admissible disturbances is the admissible set. The characterization of is investigated...

Use of semidefinite programming for solving the LQR problem subject to rectangular descriptor systems

Muhafzan (2010)

International Journal of Applied Mathematics and Computer Science

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This paper deals with the Linear Quadratic Regulator (LQR) problem subject to descriptor systems for which the semidefinite programming approach is used as a solution. We propose a new sufficient condition in terms of primal dual semidefinite programming for the existence of the optimal state-control pair of the problem considered. The results show that semidefinite programming is an elegant method to solve the problem under consideration. Numerical examples are given to illustrate the...