Improving Closed-Loop Stability of Second-Order LTI Systems by Hybrid Static Output Feedback (2008)
Guisheng Zhai, Shigemasa Takai, Anthony N. Michel, Xuping Xu
ABSTRACT: In this paper, we consider the problem of improving stability property for a class of second-order LTI systems by hybrid static output feedback. The improvement is measured in term of the...
Guisheng Zhai, Bo Hu, Kazunori Yasuda, Anthony N. Michel
Abstract: In this paper, we investigate the disturbance attenuation properties of timecontrolled switched systems consisting of several linear time-invariant subsystems by using a dwell time approach...
Bo Hu, Guisheng Zhai, Anthony N. Michel
In the present paper we utilize Lyapunov-like functions in the qualitative analysis of switched systems. Specifically, for a class of second-order switched systems consisting of two unstable...
STABILITY ANALYSIS OF A CLASS OF NONLINEAR MULTIRATE DIGITAL CONTROL SYSTEMS (2007)
We consider multirate digital control systems which consist of an interconnection of a continuous-time nonlinear plant (described by ordinary differential equations) and a digital lifted controller...
In the present paper, we develop a general comparison theory for Lyapunov and Lagrange stability analysis of discontinuous dynamical systems, making use of stability preserving mappings. To...
Bo Hu, Guisheng Zhai, Anthony N. Michel
In the present paper, we solve for two-dimensional SISO linear control systems the open problem whether there exists finite-state hybrid output feedback to stabilize the systems. We show that under...
STABILITY ANALYSIS OF A CLASS OF NONLINEAR MULTIRATE DIGITAL CONTROL SYSTEMS (2007)
We consider multirate digital control systems which consist of an interconnection of a continuous-time nonlinear plant (described by ordinary dierential equations) and a digital lifted controller...
Bo Hu, Guisheng Zhai, Anthony N. Michel
Abstract: In the present paper, we address the stabilization problem of two-dimensional bilinear systems, using a finite number of constant feedback control laws, along with appropriate switchings....
Bo Hu, Xuping Xu, Panos J. Antsaklis, Anthony N. Michel
For a class of second-order switched systems consisting of two linear time-invariant (LTI) subsystems, we show that the so-called conic switching law proposed previously by the present authors is...
We establish several stability results for discontinuous
STABILITY ANALYSIS OF INTERCONNECTED HYBRID DYNAMICAL SYSTEMS (2007)
In the present paper we establish some new stability results for interconnected hybrid (resp., discontinuous) dynamical systems. Our results are phrased in terms of the qualitative properties of...
The Numerical Optimization of Distributed Parameter Systems by Gradient Methods (2004)
Cornick, Douglas E., Michel, Anthony N.
The numerical optimization of distributed parameter systems is considered. In particular the adaptation of the Davidon method, the conjugate gradient method, and the best step steepest descent method...
Qualitative theory of dynamical systems: the role of stability preserving mappings (2001)
"Illuminates the most important results of the Lyapunov and Lagrange stability theory for a general class of dynamical systems by developing topics in a metric space independantly of equations,...
Piecewise Lyapunov Functions for Switched Systems with Average Dwell Time (2000)
Guisheng Zhai, Bo Hu, Kazunori Yasuda, Anthony N. Michel
The stability properties of linear switched systems consisting of both Hurwitz stable and unstable subsystems are investigated by using piecewise Lyapunov functions incorporated with an average dwell...
Guisheng Zhai, Bo Hu, Kazunori Yasuda, Anthony N. Michel
We study the stability properties of linear switched systems consisting of both Hurwitz stable and unstable subsystems using an average dwell time approach. We show that if the average dwell time is...
Stability analysis of digital feedback control systems with time-varying sampling periods (1999)
We consider digital feedback control systems with timevarying sampling periods consisting of an interconnection of a continuous-time nonlinear plant, a nonlinear digital controller and appropriate...
Towards a Stability Theory of General Hybrid Dynamical Systems (1999)
A general model for hybrid dynamical systems is presented which incorporates a concept of generalized time. For such systems, a stability theory is developed. Both Comparison Theorems and the...
Some qualitative properties of multirate digital control systems (1999)
Abstract--- We consider multirate digital control systems which consist of an interconnection of a continuous-time nonlinear plant (described by ordinary differential equations), a digital controller...
Stability Analysis For a Class of Nonlinear Switched Systems (1999)
Bo Hu, Xuping Xu, Anthony N. Michel, Panos J. Antsaklis
In the present paper, we study several qualitative properties of a class of nonlinear switched systems under certain switching laws. First, we show that if all the subsystems are linear...
Quantized sampled-data feedback stabilization for linear and nonlinear control systems (1999)
Bo Hu, Zhaoshu Feng, Anthony N. Michel
In the present paper, we propose a new control strategy which uses quantized sampled data of the states (i.e., incomplete knowledge of the states) with quantizer sensitivities that vary (i.e., depend...
Stability analysis of digital feedback control systems with time-varying sampling periods (1999)
Stability results on a class of nonlinear digital feedback control systems with time-varying sampling periods have been established with several applications Runtitle: Digital feedback control...
Robustness analysis of digital feedback control systems with time-varying sampling periods (1999)
In the present paper, we study robustness properties of a class of digital feedback control systems with timevarying sampling periods consisting of an interconnection of a continuous-time nonlinear...
Some qualitative properties of multirate digital control systems (1999)
We consider multirate digital control systems which consist of an interconnection of a continuous-time nonlinear plant (described by ordinary differential equations), a digital controller (described...
Quantized sampled-data feedback stabilization for linear and nonlinear control systems (1999)
Bo Hu, Zhaoshu Feng, Anthony N. Michel
In the present paper, we propose a new control strategy which uses quantized sampled data of the states (i.e., incomplete knowledge of the states) with quantizer sensitivities that vary (i.e., depend...
Robust stabilizing control law for a class of second-order switched systems (1999)
Bo Hu, Xuping Xu, Anthony N. Michel, Panos J. Antsaklis
For a class of second-order switched systems consisting of two linear time-invariant (LTI) subsystems, we show that the so-called conic switching law proposed previously by the present authors is...
Robustness analysis of digital feedback control systems with time-varying sampling periods (1999)
In the present paper, we study robustness properties of a class of digital feedback control systems with time-varying sampling periods consisting of an interconnection of a continuous-time nonlinear...
Stability of Multiple-Loop Nonlinear Time-Varying Systems. (1998)
Michel,Anthony N., Porter,D. W.
Sufficient conditions for the input-output stability of multiple-loop systems, in the frequency domain and in the time domain, are established. Both gain results and sector results are presented. In...
Stability theory for hybrid dynamical systems (1998)
Hui Ye, Anthony N. Michel, Ling Hou
Abstract — Hybrid systems which are capable of exhibiting simultaneously several kinds of dynamic behavior in different parts of a system (e.g., continuous-time dynamics, discrete-time dynamics,...
Linear systems / Panos J. Antsasklis, Anthony N. Michel (1997)
Antsaklis, Panos J, Michel, Anthony N
Incluye bibliografía e índice
Stability analysis of discontinuous dynamical systems with applications (1996)
In the present paper, we establish several stability results for discontinuous dynamical systems de ned on R = [0; 1) which make use of vector Lyapunov functions. For the scalar case, these results...
A CHRONOLOGICAL BIBLIOGRAPHY ON SATURATING ACTUATORS (1995)
Bernstein, Dennis S., Michel, Anthony N.
Peer Reviewed
Lagrange stability and boundedness of discrete event systems (1995)
Kevin M. Passino, Kevin L. Burgess, Anthony N. Michel
Recently it has been shown that the conventional notions of stability in the sense of Lyapunov and asymptotic stability can be used to characterize the stability properties of a class of...
North-Holland Asymptotic stability of systems operating on a closed hypercube * (1992)
Abstract: Sufficient conditions for the global asymptotic stability of the equilibrium x e = 0 of dynamical systems which are characterized by linear ordinary differential equations with saturation...
North-Holland Null controllability of systems with control constraints and state saturation * (1992)
Abstract: Sufficient conditions for the null controllability of discrete-time systems with control constraints and state saturation are presented. This is accomplished in two stages: First, we...
Michel, Anthony N, Herget, Charles
Incluye bibliografía e índice
Finite time stability of dynamical systems /--by Anthony N. Michel. (1968)
Thesis (Ph. D.)--Marquette University, 1968.
On mathematical concepts of information theory /--Anthony N. Michel. (1964)
Thesis (M.S.)--Marquette University, 1964.
Finite time stability of dynamical systems [microform].
Thesis: (Ph.D.) -- Marquette University.