Department of Mathematics and Systems Analysis


Research reports by Kalle Mikkola

Here are the reports authored by Kalle Mikkola. See the reports of all authors.

Helsinki University of Technology Institute of Mathematics Research Reports A

Kalle Mikkola
Real solutions to control, approximation, factorization, representation, Hankel and Toeplitz problems   [pdf][ps]
Received 2010-06-07 * Real-symmetric functions, real coprime factors, real state-feedback operators, real stabilizing controllers, real optimal control, real Hilbert spaces * AMS 93D25, 49N10, 93D15, 47B35, 47A68 * 25 pages
Kalle Mikkola
Weakly coprime factorization, continuous-time systems, and strong-Hp and Nevanlinna fractions   [pdf][ps]
Received 2008-08-28 * Weak coprimeness, stabilizable realization, stabilizable and detectable realization, LQ-optimal state feedback, infinite-dimensional systems theory, well-posed linear systems, holomorphic fractions * AMS 49N10, 93D15, 93B52; 47A68, 47A56, 47B35 * 48 pages
Kalle Mikkola
Hankel and Toeplitz operators on nonseparable Hilbert spaces: further results   [pdf][ps] abstract: [pdf][ps]
Received 2007-08-20 * strong Hardy spaces of operator-valued functions, strongly essentially bounded functions, shift-invariant subspaces, translation-invariant operators, inner functions, left invertibility. * AMS 47B35, 46C99, 46E40 * 50 pages
Kalle Mikkola
Infinite-Dimensional Linear Systems, Optimal Control and Algebraic Riccati Equations   volumes 1-3   [pdf][ps][pdf.gz][ps.gz] abstract: [pdf][ps]
Received 2002-10-03 * suboptimal H-infinity control, standard H-infinity problem, measurement feedback problem; H-infinity full information control problem, state feedback problem; Nehari problem; LQC, LQR control, H2 problem, minimization; bounded real lemma, positive real lemma; dynamic stabilization, controller with internal loop, strong stabilization, exponential stabilization, optimizability; canonical factorization, (J,S)-spectral factorization, (J,S)-inner coprime factorization, generalized factorization, J-lossless factorization; compatible operators, weakly regular well-posed linear systems, distributed parameter systems; continuous-time, discrete-time; infinite-horizon; time-invariant operators, Toeplitz operators, Wiener class, equally-spaced delays, Popov function; transfer functions, H-infinity boundary functions, Fourier multipliers; Bochner integral, strongly measurable functions, strong Lp spaces; Laplace transform, Fourier transform * AMS 42A45, 46E40, 46G12, 47A68, 49J27, 49N10, 49N35, 93-02, 93A10, 93B36, 93B52, 93C05, 93C55, 93D15 * 1059 pages
Kalle Mikkola
On the Stable H2 and H-Infinity Infinite-Dimensional Regular Problems and Their Algebraic Riccati Equations   [pdf][ps]
Received 1997-12-30 * H2 control, suboptimal H-infinity control, (J, S)-spectral factorization, algebraic Riccati equation, weakly regular well-posed linear systems * AMS 49J27, 93B36, 47A68

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