Download E-books Directions in Mathematical Systems Theory and Optimization PDF

By Karl Johan Åström, Bo Bernhardsson (auth.), Anders Rantzer, Christopher I. Byrnes (eds.)

For greater than 3 a long time, Anders Lindquist has brought basic cont- butions to the ?elds of platforms, indications and regulate. all through this era, 4 topics can might be symbolize his pursuits: Modeling, estimation and ?ltering, suggestions and strong keep watch over. His contributions to modeling contain seminal paintings at the position of splitting subspaces in stochastic cognizance idea, at the partial recognition challenge for either deterministic and stochastic structures, at the resolution of the rational covariance extension challenge and on procedure identi?cation. His contributions to ?ltering and estimation contain the advance of quickly ?ltering algorithms, resulting in a nonlinear dynamical procedure which computes spectral elements in its regular kingdom, and which offer another, linear within the measurement of the kingdom area, to computing the Kalman achieve from a matrix Riccati equation. His extra learn at the section portrait of this dynamical process gave a greater realizing of whilst the Kalman ?lter will converge, answering an open query raised via Kalman. whereas nonetheless a scholar he demonstrated the separation precept for stochastic functionality differential equations, together with a few basic paintings on optimum keep an eye on for stochastic structures with time lags. He endured his curiosity in suggestions keep an eye on via deriving optimum and strong keep watch over suggestions legislation for suppressing the results of harmonic disturbances. furthermore, his contemporary paintings on an entire parameterization of all rational suggestions to the Nevanlinna-Pick challenge is supplying a brand new method of strong regulate design.

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