Optimization of lyapunov functionals
Copyright policy )Optimization of lyapunov functionals
The problem of optimality of Lyapunov Functionals is posed in terms of the requirements of a specific problem. The optimizationprocess is based on a method used to construct Lyapunov Functionals called “Path Integral Synthesis” proposed by the authors. By starting with a gradient of a functional, defined in terms of a set of free parameters, the optimization procedure is performed by choosing those free parameters to optimize (in the term of the requirements of the problem) the resulting stability region in the space of the physical parameters of the problem. Practical applications to linear parabolic problems are performed in order to illustrate such procedure.
Control/observation systems governed by partial differential equations, Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory, Control/observation systems in abstract spaces
Control/observation systems governed by partial differential equations, Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory, Control/observation systems in abstract spaces
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