Results 1 - 10 of 3,452

A converse Lyapunov theorem for discretetime systems with disturbances

by Zhong-Ping Jiang , Yuan Wang - System & Control Letters , 2002
"... Abstract This paper presents a converse Lyapunov theorem for discrete-time systems with disturbances taking values in compact sets. Among several new stability results, it is shown that a smooth Lyapunov function exists for a family of time-varying discrete systems if these systems are robustly glo ..."
Abstract - Cited by 38 (2 self) - Add to MetaCart
Abstract This paper presents a converse Lyapunov theorem for discrete-time systems with disturbances taking values in compact sets. Among several new stability results, it is shown that a smooth Lyapunov function exists for a family of time-varying discrete systems if these systems are robustly

Coordination of Groups of Mobile Autonomous Agents Using Nearest Neighbor Rules

by A. Jadbabaie, J. Lin, A. S. Morse , 2002
"... In a recent Physical Review Letters paper, Vicsek et. al. propose a simple but compelling discrete-time model of n autonomous agents fi.e., points or particlesg all moving in the plane with the same speed but with dierent headings. Each agent's heading is updated using a local rule based on ..."
Abstract - Cited by 1290 (62 self) - Add to MetaCart
In a recent Physical Review Letters paper, Vicsek et. al. propose a simple but compelling discrete-time model of n autonomous agents fi.e., points or particlesg all moving in the plane with the same speed but with dierent headings. Each agent's heading is updated using a local rule based

Unification of continuous-time and discretetime systems: the linear case

by Zbigniew Bartosiewicz - In Proceedings of Sixteenth International Symposium on Mathematical Theory of Networks and Systems (MTNS2004) Katholieke Universiteit
"... Control theory splits into two parallel areas: in the first one time is continuous, in the second one – discrete. The statements in both theories are usually similar or even identical. This is true for linear as well for nonlinear systems. The language of time scales, created some 25 years ago by St ..."
Abstract - Cited by 11 (8 self) - Add to MetaCart
Control theory splits into two parallel areas: in the first one time is continuous, in the second one – discrete. The statements in both theories are usually similar or even identical. This is true for linear as well for nonlinear systems. The language of time scales, created some 25 years ago

Actuator placement using degree of controllability for discretetime systems

by Peter M Bainum - Trans. of the ASME , 1992
"... In this paper some definitions of degree of controllability (observability) ..."
Abstract - Cited by 1 (0 self) - Add to MetaCart
In this paper some definitions of degree of controllability (observability)

A Control-Theoretic Approach to Flow Control

by Srinivasan Keshav , 1991
"... This paper presents a control-theoretic approach to reactive flow control in networks that do not reserve bandwidth. We assume a round-robin-like queue service discipline in the output queues of the network’s switches, and propose deterministic and stochastic models for a single conversation in a ne ..."
Abstract - Cited by 454 (8 self) - Add to MetaCart
network of such switches. These models motivate the Packet-Pair rate probing technique, and a provably stable rate-based flow control scheme. A Kalman state estimator is derived from discrete-time state space analysis, but there are difficulties in using the estimator in practice. These difficulties

Act-and-wait control concept for discretetime systems with feedback delay

by Tamás Insperger , Gábor Stépán - IEE Proceedings—Control Theory & Applications , 2006
"... Abstract Linear n-dimensional discrete-time systems are considered with feedback delay r at the m-dimensional input. These systems have n + mr poles. The act-andwait control concept is introduced: the feedback is periodically switched on and off during the control with period k. It is on for one st ..."
Abstract - Cited by 10 (1 self) - Add to MetaCart
Abstract Linear n-dimensional discrete-time systems are considered with feedback delay r at the m-dimensional input. These systems have n + mr poles. The act-andwait control concept is introduced: the feedback is periodically switched on and off during the control with period k. It is on for one

Absolute stability analysis of discretetime systems with composite quadratic Lyapunov functions

by Tingshu Hu, Zongli Lin - IEEE Trans. Automat. Contr , 2005
"... Abstract—A generalized sector bounded by piecewise linear functions was introduced in a previous paper for the purpose of reducing conservatism in absolute stability analysis of systems with nonlinearity and/or uncertainty. This paper will further en-hance absolute stability analysis by using the co ..."
Abstract - Cited by 11 (1 self) - Add to MetaCart
Abstract—A generalized sector bounded by piecewise linear functions was introduced in a previous paper for the purpose of reducing conservatism in absolute stability analysis of systems with nonlinearity and/or uncertainty. This paper will further en-hance absolute stability analysis by using

Stable adaptive neural network control of nonaffine nonlinear discretetime systems and application

by Lianfei Zhai, Tianyou Chai, Chenguang Yang, Shuzhi Sam Ge, Tong Heng Lee - 22th IEEE International Symposium on Intelligent Control , 2007
"... Abstract — In this paper, stable adaptive neural network (NN) control, a combination of weighted one-step-ahead control and adaptive NN is developed for a class of multi-input-multi-output (MIMO) nonaffine nonlinear discrete-time systems. The weighted one-step-ahead control is designed to stabilize ..."
Abstract - Cited by 1 (0 self) - Add to MetaCart
Abstract — In this paper, stable adaptive neural network (NN) control, a combination of weighted one-step-ahead control and adaptive NN is developed for a class of multi-input-multi-output (MIMO) nonaffine nonlinear discrete-time systems. The weighted one-step-ahead control is designed to stabilize

Posterior Cramér-Rao bounds for discrete-time nonlinear filtering

by Carlos H. Muravchik, Arye Nehorai - IEEE Trans. Signal Processing , 1998
"... Abstract—A mean-square error lower bound for the discretetime nonlinear filtering problem is derived based on the Van Trees (posterior) version of the Cramér–Rao inequality. This lower bound is applicable to multidimensional nonlinear, possibly non-Gaussian, dynamical systems and is more general tha ..."
Abstract - Cited by 184 (4 self) - Add to MetaCart
Abstract—A mean-square error lower bound for the discretetime nonlinear filtering problem is derived based on the Van Trees (posterior) version of the Cramér–Rao inequality. This lower bound is applicable to multidimensional nonlinear, possibly non-Gaussian, dynamical systems and is more general

Input-To-State Stability For Discrete-Time Nonlinear Systems

by Zhong-ping Jiang, Eduardo Sontag, Yuan Wang - Automatica , 1999
"... : In this paper the input-to-state stability (iss) property is studied for discrete-time nonlinear systems. We show that many iss results for continuoustime nonlinear systems in earlier papers (Sontag, 1989; Sontag, 1990; Sontag and Wang, 1996; Jiang et al., 1994; Coron et al., 1995) can be exten ..."
Abstract - Cited by 144 (9 self) - Add to MetaCart
: In this paper the input-to-state stability (iss) property is studied for discrete-time nonlinear systems. We show that many iss results for continuoustime nonlinear systems in earlier papers (Sontag, 1989; Sontag, 1990; Sontag and Wang, 1996; Jiang et al., 1994; Coron et al., 1995) can
Results 1 - 10 of 3,452