### Department of Mathematics and Systems Analysis

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

- A588
**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
- A548
**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
- A528
**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
- A452
**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
- A383
**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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