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The paper is devoted to the development of new methods of investigation of complex non-linear dynamic multi-link manipulation systems, based on mechanics approaches, methods of optimal control theory, optimizations, of linear algebra, symbolic calculations and pseudo inversions.
Driven by good examples and illustrations and requiring only a standard knowledge in the calculus of variations, differential equations, and functional analysis, the book can serve as a text for a graduate course in computational methods of optimal design and optimization, as well as an excellent reference for applied mathematicians addressing functional shape optimization problems.
Moreover, the optimization of damage identification is approached through methods of optimal positioning of sensors for the acquisition of the data that must be evaluated so that conclusions can be made.
Other examples refer to the application of optimization theory to multistage drying processes with granular fluidizing solids, treated by discrete methods of optimal control.
Physical or economic problems can be treated by methods of optimal control.
Furthermore, design methods of optimal guaranteed cost D-stabilization controller and optimal H∞ D-stabilization controller are given.
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A systematic method of optimal location of sensors in the stochastic extrapolation problem is considered.
Asymptotic behaviour of the oscillator has been studied by using the method of optimal Lyapunov functions.
We present a method of optimal tracking for chaotic dynamical systems with a slowly drifting parameter.
Moreover, a method of optimal quantizer/controller design in terms of linear matrix inequality is presented.
A method of optimal design of inelastic cylindrical shells with absolutely rigid hoop stiffeners is suggested.
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