Amol Sasane's list of journal publications (organized by research
areas).
Corona theorems, Bass/topological stable rank and reducibility, stabilization
- A.J. Sasane and S.R. Treil.
Estimates in corona theorems for some subalgebras of H∞.
Arkiv för matematik, no. 2, 45:351-380, 2007.
[PDF]
- R. Rupp and A.J. Sasane.
Reducibility in AR(K), CR(K) and A(K).
Canadian Journal of Mathematics, 62:646-667, no. 3, 2010.
[PDF]
- A.J. Sasane.
Stable ranks of Banach algebras of operator-valued analytic functions.
Complex Analysis and Operator Theory, 3:323-330, no. 1, 2009.
[PDF]
- R. Mortini, A.J. Sasane and B. Wick.
The corona theorem and stable rank for C + BH∞.
Houston Journal of Mathematics, 36:289-302, no. 1, 2010.
[PDF]
- S. Maad Sasane and A.J. Sasane.
Generators for rings of compactly supported distributions.
Submitted.
arXiv:1004.0927v1 [math.FA]
- A.J. Sasane.
An operator corona theorem for some subspaces of H∞.
Integral Equations and Operator Theory, no. 2, 59:245-256, 2007.
- R. Rupp and A.J. Sasane.
On the density of stabilizable plants in the class of unstabilizable plants.
Journal of the Franklin Institute, 346:784-793, 2009.
[PDF]
- R. Mortini, R. Rupp, A.J. Sasane and B. Wick.
Topological stable rank of H∞(U) for circular domains U.
Analysis Mathematica, 36:1-9, no. 3, 2010.
[PDF]
- R. Rupp and A.J. Sasane.
On the stable rank and reducibility in algebras of real symmetric functions.
Mathematische Nachrichten, to appear.
[PDF]
- K.M. Mikkola and A.J. Sasane.
Bass and topological stable ranks of complex and real algebras of measures, functions and sequences.
Complex Analysis and Operator Theory, to appear.
[PDF]
- R. Rupp and A.J. Sasane.
Ideal structure and stable rank of Ce+l2(I) with the Hadamard product.
Complex Analysis and Operator Theory, to appear.
[PDF]
- R. Mortini, R. Rupp and A.J. Sasane.
Matricial topological ranks for two algebras of bounded holomorphic functions.
Linear and Multilinear Algebra, to appear.
[PDF]
- A.J. Sasane.
Properties of a subalgebra of H∞(D) and stabilization.
IMA Journal on Mathematical Control and Information, 25:1-21, 2008.
[PDF]
Tolokonnikov's lemma, Hermiteness/projective freeness, contractibility of the maximal ideal space
- A. Brudnyi and A.J. Sasane.
Sufficient conditions for the projective freeness of Banach algebras.
Journal of Functional Analysis, 257:4003-4014, no. 12, 2009.
[PDF]
- A.J. Sasane.
The Hermite property of a causal Wiener algebra used in control theory.
Complex Analysis and Operator Theory, 4:97-107, no. 1, 2010.
[PDF]
- A.J. Sasane.
Contractability of the maximal ideal space of algebras of measures in a half-space.
Operators and Matrices, to appear.
[PDF]
- A.J. Sasane.
Extension to an invertible matrix in convolution algebras of measures supported in [0,+&infin).
In Topics in Operator Theory. Operators, Matrices, and Analytic Functions,
J.A. Ball, V. Bolotnikov, J.W. Helton and L. Rodman (Editors),
Operator Theory: Advances and Applications 202, Birkhäuser-Verlag, Basel-Boston, 2010.
[PDF]
- K.M. Mikkola and A.J. Sasane.
Tolokonnikov's lemma for the real Hardy space and the real disk algebra.
Complex Analysis and Operator Theory, 1:439-446, 2007.
[PDF]
Coherence
- A.J. Sasane.
Noncoherence of a causal Wiener algebra used in control theory.
Abstract and Applied Analysis, Volume 2008, Article ID 459310, doi:10.1155/2008/459310.
[PDF]
- A.J. Sasane.
Noncoherence of some rings of functions.
Proceedings of the American Mathematical Society, 135:2107-2111, 2007.
[PDF]
- T. Bhattacharyya and A.J. Sasane.
Coherence of the real symmetric Hardy algebra.
Operators and Matrices, to appear.
Miscellaneous algebraic properties of rings of holomorphic functions
- R. Mortini and A.J. Sasane.
Ideals of denominators in the disk algebra.
Bulletin of the London Mathematical Society, 41:669-675, no. 4, 2009.
[PDF]
- A.J. Sasane.
On the Krull dimension of rings of transfer functions.
Acta Applicandae Mathematicae, 103:161-168, 2008.
- R. Mortini and A.J. Sasane.
On the pre-B\'ezout property of Wiener algebras of the disc and the half plane.
New Zealand Journal of Mathematics, 38:45-55, 2008.
[PDF]
- R. Mortini and A.J. Sasane.
Some algebraic properties of the Wiener-Laplace algebra.
Journal of Applied Analysis, to appear.
[PDF]
Metric in robust stabilization, Nyquist criterion
- J.A. Ball and A.J. Sasane.
Extension of the ν-metric.
Complex Analysis and Operator Theory, to appear.
[PDF]
- A.J. Sasane.
An abstract Nyquist criterion containing old and new results.
Journal of Mathematical Analysis and its Applications, to appear.
[PDF]
Algebraic analysis of PDEs, autonomy, controllability, behaviours
- A.J. Sasane.
On the Willems closure with respect to Ws.
IMA Journal of Mathematical Control and Information, 20:217-232, 2003.
[PDF]
- A.J. Sasane, E.G.F. Thomas and J.C. Willems.
Time-autonomy versus time-controllability.
Systems and Control Letters, 45:145-153, 2002.
- T. Cotroneo and A.J. Sasane.
Conditions for time-controllability of behaviours.
International Journal of Control, 75:61-67, 2002.
- A.J. Sasane.
Time-autonomy and time-controllability of 2-D behaviours that are tempered in the spatial direction.
Multidimensional Systems and Signal Processing, 15:97-116, 2004.
- A.J. Sasane.
The elusive iff test for time-controllability of behaviours.
In Open Problems in Mathematical Systems and Control Theory,
V. Blondel and A. Megretski (Editors), Princeton University Press, 2003.
Behavioural distance
- J.A. Ball and A.J. Sasane.
Equivalence of a behavioral distance and the gap metric.
Systems and Control Letters, 55:214-222, 2006.
[PDF]
- A.J. Sasane.
Distance between behaviours.
International Journal of Control, 76:1214-1223, 2003.
Nonlinear systems
- I. Lasiecka, S. Maad and A.J. Sasane.
Existence and exponential decay of solutions to a quasilinear thermoelastic system.
Nonlinear Differential Equations and Applications, 15:689-715, no. 6, 2008.
[PDF]
- N. Hovakimyan, E. Lavretsky and A.J. Sasane.
Approximate dynamic inversion for nonaffine in control systems via time-scale separation.
Journal of Dynamical Systems and Control, no. 4, 13:451-465, 2007.
Nehari-Takagi problem, model reduction
- O.V. Iftime, M.A. Kaashoek and A.J. Sasane.
A Grassmannian band method approach to the Nehari-Takagi problem.
Journal of Mathematical Analysis and its Applications, 310:97-115, 2005.
[PDF]
- J.A. Ball, K.M. Mikkola and A.J. Sasane.
State-space formulas for the Nehari-Takagi problem for nonexponentially stable infinite-dimensional systems.
SIAM Journal on Control and Optimization, 44:531-563, 2005.
[PDF]
- R.F. Curtain and A.J. Sasane.
Inertia theorems for operator Lyapunov inequalities.
Systems and Control Letters, 43:127-132, 2001.
[PDF]
- R.F. Curtain and A.J. Sasane.
Sub-optimal Hankel norm approximation for the Pritchard-Salamon class of infinite-dimensional systems.
Integral Equations and Operator Theory, 39:98-126, 2001.
- R.F. Curtain and A.J. Sasane.
Sub-optimal Hankel norm approximation for the analytic class of infinite-dimensional systems.
Integral Equations and Operator Theory, 43:356-377, 2002.
- R.F. Curtain and A.J. Sasane.
Compactness and nuclearity of the Hankel operator and internal stability of infinite-dimensional state linear systems.
International Journal of Control, 74:1260-1270, 2001.
[PDF]
- R.F. Curtain and A.J. Sasane.
Hankel norm approximation for well-posed linear systems.
Systems and Control Letters, 48:407-414, 2003.
- O.V. Iftime and A.J. Sasane.
A frequency domain approach to the sub-optimal Hankel norm approximation problem.
Systems and Control Letters, 52:75-83, 2004.
Misc. infinite-dimensional systems
- R.F. Curtain and A.J. Sasane.
On Riccati equations in Banach algebras.
Submitted.
[PDF]
- K.M. Mikkola and A.J. Sasane.
A spectrally minimal realization formula for H∞(D).
Complex Analysis and Operator Theory, no. 4, 1:621-628, 2007.
[PDF]
- R.F. Curtain, K.M. Mikkola and A.J. Sasane.
The Hilbert-Schmidt property of feedback operators.
Journal of Mathematical Analysis and its Applications, 329:1145-1160, 2007.
[PDF]
- A.J. Sasane.
Stability of switching infinite-dimensional systems.
Automatica, 41:75-78, 2005.