Mathematics of Control, Signals and Systems

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On the existence of stabilising feedback controls for real analytic small-time locally controllable systems
Mathematics of Control, Signals and Systems - Tập 27 - Trang 467-492 - 2015
Pantelis Isaiah
It is shown that, for real analytic control systems of the form $$f:{M}\times \varOmega \ni (q,u)\mapsto f(q,u)\in {T}_q{M}$$ , where M is a real analytic manifold and $...... hiện toàn bộ
Các đại diện trạng thái liên tục cho Hệ thống AR Dịch bởi AI
Mathematics of Control, Signals and Systems - Tập 8 - Trang 82-95 - 1995
Heide Glüsing-Lüerßen
Trong bài báo này, chúng tôi xem xét trong bối cảnh hành vi là lớp con của các hệ thống tuyến tính, hữu hạn, theo thời gian rời rạc, có thể được biểu diễn bởi các phương trình tự hồi quy (AR). Chúng tôi sẽ chỉ ra rằng, xét về sự hội tụ của tất cả các hệ số trong một đại diện AR, tồn tại các đại diện đầu vào-trạng thái-đầu ra (i/s/o) liên tục phụ thuộc, với điều kiện rằng một bậc xác định nào đó vẫ...... hiện toàn bộ
#hệ thống AR #phương trình tự hồi quy #đại diện trạng thái #đầu vào-trạng thái-đầu ra #sự hội tụ
On the quantitative characterization of approximate decentralized fixed modes using transmission zeros
Mathematics of Control, Signals and Systems - Tập 2 - Trang 287-302 - 1989
A. F. Vaz, E. J. Davison
The spectrum of a linear time-invariant multivariable system, using decentralized linear time-invariant controllers, can only be assigned to a symmetric set of complex numbers that include the decentralized fixed modes (DFM). Hence only systems with stable DFM can be stabilized. Although the concept of DFM characterizes when a decentralized controller can stabilize a system, it gives no indication...... hiện toàn bộ
Error bounds for Newton refinement of solutions to algebraic riccati equations
Mathematics of Control, Signals and Systems - Tập 3 - Trang 211-224 - 1990
Charles Kenney, Alan J. Laub, Matt Wette
Recent error bounds derived from the Schur method of solving algebraic Riccati equations (ARE) complement residual error bounds associated with Newton refinement of approximate solutions. These approaches to the problem of error estimation not only work well together but also represent the first computable error bounds for the solution of Riccati equations. In this paper the closed-loop Lyapunov o...... hiện toàn bộ
Robust hierarchic control for a population dynamics model with missing birth rate
Mathematics of Control, Signals and Systems - Tập 32 - Trang 209-239 - 2020
Gisèle Mophou, Moumini Kéré, Lionel Landry Djomegne Njoukoué
In this paper, we study the hierarchic control problem for a linear system of a population dynamics model with an unknown birth rate. Using the notion of low-regret control and an adapted observability inequality of Carleman type, we show that there exist two controls such that, the first control called follower solves an optimal control problem which consists in bringing the state of the linear ...... hiện toàn bộ
On the Learnability of Recursive Data
Mathematics of Control, Signals and Systems - Tập 12 - Trang 62-79 - 1999
Barbara Hammer
We establish some general results concerning PAC learning: We find a characterization of the property that any consistent algorithm is PAC. It is shown that the shrinking width property is equivalent to PUAC learnability. By counterexample, PAC and PUAC learning are shown to be different concepts. We find conditions ensuring that any nearly consistent algorithm is PAC or PUAC, respectively.¶The V...... hiện toàn bộ
The difference between port-Hamiltonian, passive and positive real descriptor systems
Mathematics of Control, Signals and Systems - - Trang 1-32 - 2023
Karim Cherifi, Hannes Gernandt, Dorothea Hinsen
The relation between passive and positive real systems has been extensively studied in the literature. In this paper, we study their connection to the more recently used notion of port-Hamiltonian descriptor systems. It is well-known that port-Hamiltonian systems are passive and that passive systems are positive real. Hence it is studied under which assumptions the converse implications hold. Furt...... hiện toàn bộ
The asymptotic stability of stable and time-autonomous discrete multidimensional behaviors
Mathematics of Control, Signals and Systems - Tập 26 - Trang 215-258 - 2013
Ulrich Oberst, Martin Scheicher
We generalize the important paper of Napp et al. (Automatica 47, 2373–2382, 2011), to discrete time-autonomous (ta) (=time-relevant), but not necessarily square-autonomous behaviors in arbitrary dimensions. This paper and therefore also the present one were essentially influenced by the papers of Wood et al. (SIAM J Control Optim 43, 1493–1520 2005), and Willems (Proceedings of the International C...... hiện toàn bộ
Stable Hermitian solutions of discrete algebraic Riccati equations
Mathematics of Control, Signals and Systems - Tập 5 - Trang 165-193 - 1992
André C. M. Ran, Leiba Rodman
Stable and Lipschitz stable hermitian solutions of the discrete algebraic Riccati equations are characterized, in the complex as well as in the real case.
Approximation of stationary processes by hidden Markov models
Mathematics of Control, Signals and Systems - Tập 22 - Trang 1-22 - 2010
Lorenzo Finesso, Angela Grassi, Peter Spreij
Stochastic realization is still an open problem for the class of hidden Markov models (HMM): given the law Q of an HMM find a finite parametric description of it. Fifty years after the introduction of HMMs, no computationally effective realization algorithm has been proposed. In this paper we direct our attention to an approximate version of the stochastic realization problem for HMMs. We aim at t...... hiện toàn bộ
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