A new class of pursuer strategies for the discrete-time lion and man problem

Automatica ◽  
2019 ◽  
Vol 100 ◽  
pp. 162-170
Author(s):  
Marco Casini ◽  
Andrea Garulli
Keyword(s):  
Discrete Time ◽  
New Class ◽  
Lion And Man

scholarly journals Stabilization of a Class of Switched Positive Nonlinear Systems

2015 ◽  
Vol 2015 ◽  
pp. 1-7
Author(s):  
Xing Xing ◽  
Zhichun Jia ◽  
Yunfei Yin ◽  
Tingting Wu
Keyword(s):  
Nonlinear Systems ◽  
Discrete Time ◽  
Continuous Time ◽  
Dwell Time ◽  
Average Dwell Time ◽  
Sufficient Condition ◽  
Cooperative System ◽  
Numerical Example ◽  
New Class

The problem of switching stabilization for a class of switched positive nonlinear systems (switched positive homogeneous cooperative system (SPHCS) in the continuous-time context and switched positive homogeneous order-preserving system (SPHOS) in the discrete-time context) is studied by using average dwell time (ADT) approach, where the positive subsystems are possibly all unstable. To tackle this problem, a new class of ADT switching is first defined, which is different from the previous defined ADT switching in the literature. Then, the proposed ADT is designed via analyzing the weightedl∞norm of the considered system’s state. A sufficient condition of stabilization for SPHCSs with unstable positive subsystems is derived in continuous-time context. Furthermore, a sufficient condition for SPHOSs under the assumption that all modes are possibly unstable is also obtained. Finally, a numerical example is given to demonstrate the advantages and effectiveness of our developed results.

A new class of consensus protocols for agent networks with discrete time dynamics

Automatica ◽  
2015 ◽  
Vol 54 ◽  
pp. 1-7 ◽  
Author(s):  
Maria Pia Fanti ◽  
Agostino Marcello Mangini ◽  
Francesca Mazzia ◽  
Walter Ukovich
Keyword(s):  
Discrete Time ◽  
Time Dynamics ◽  
New Class ◽  
Agent Networks

scholarly journals Discrete-Time Indefinite Stochastic Linear Quadratic Optimal Control with Second Moment Constraints

2014 ◽  
Vol 2014 ◽  
pp. 1-9 ◽  
Author(s):  
Weihai Zhang ◽  
Guiling Li
Keyword(s):  
Discrete Time ◽  
Terminal State ◽  
Linear Quadratic ◽  
Linear Quadratic Optimal Control ◽  
Second Moment ◽  
New Class ◽  
The Matrix ◽  
Moment Constraint ◽  
Lq Problem ◽  
The Cost

This paper studies the discrete-time stochastic linear quadratic (LQ) problem with a second moment constraint on the terminal state, where the weighting matrices in the cost functional are allowed to be indefinite. By means of the matrix Lagrange theorem, a new class of generalized difference Riccati equations (GDREs) is introduced. It is shown that the well-posedness, and the attainability of the LQ problem and the solvability of the GDREs are equivalent to each other.

Process Control Experience and a Self-Tuning Method for a Discrete-Time, Finite Time Settling Controller/Observer

1977 ◽  
Vol 99 (3) ◽  
pp. 209-211 ◽  
Author(s):  
D. M. Auslander ◽  
M. Tomizuka ◽  
Y. Takahashi
Keyword(s):  
Discrete Time ◽  
Finite Time ◽  
Control Algorithm ◽  
Pid Controllers ◽  
Control Algorithms ◽  
Tuning Method ◽  
New Class ◽  
Time Control ◽  
Self Tuning ◽  
And Control

A self-tuning method is described for a simple discrete-time control algorithm presented in a previous paper. With self-tuning, the algorithm is a candidate for a new class of single-loop controllers that would be considerably more convenient to use than the present analog PID controllers. Experimental results are presented indicating the applicability of the tuning and control algorithms to typical, nonideal processes.

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