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
Stability of discrete-time linear systems with Markovian jumping parameters
Mathematics of Control, Signals and Systems - Tập 8 - Trang 390-402 - 1995
E. K. Boukas, H. Yang
This paper deals with the robustness of a class of discrete-time linear systems with Markovian jumping parameters and unknown but bounded uncertainties. Assuming that the Markovian jump process (disturbance) has finite state space and that there is complete access to the system's state and its mode, we establish necessary and sufficient conditions for stochastic stability of the autonomous nominal...... 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
Online learning via congregational gradient descent
Mathematics of Control, Signals and Systems - Tập 10 - Trang 331-363 - 1997
Kim L. Blackmore, Robert C. Williamson, Iven M. Y. Mareels, William A. Sethares
We propose and analyse a populational version of stepwise gradient descent suitable for a wide range of learning problems. The algorithm is motivated by genetic algorithms which update a population of solutions rather than just a single representative as is typical for gradient descent. This modification of traditional gradient descent (as used, for example, in the backpropogation algorithm) avoid...... hiện toàn bộ
Input-to-state stability of soft-reset systems with nonlinear data
Mathematics of Control, Signals and Systems - Tập 35 - Trang 523-540 - 2023
Matina Baradaran Hosseini, Justin H. Le, Andrew R. Teel
Input-to-state stability (ISS) is considered for a nonlinear “soft-reset” system with inputs. The latter is a system that approximates a hard-reset system, which is modeled as a hybrid system with inputs. In contrast, a soft-reset system is modeled as a differential inclusion with inputs. Lyapunov conditions on the hard-reset system are given that guarantee ISS for the soft-reset system. In turn, ...... 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
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