Sufficient conditions for the strong stabilizability of linear nD MIMO systems

2005 ◽  
Author(s):  
Zhiping Lin ◽  
Jiang Qian Ying ◽  
Li Xu ◽  
Cishen Zhang
Keyword(s):  
Mimo Systems ◽  
Sufficient Conditions ◽  
Strong Stabilizability

Synthesis of a Stable Discrete-Time Repetitive Controller for MIMO Systems

1995 ◽  
Vol 117 (1) ◽  
pp. 92-98 ◽  
Author(s):  
Nader Sadegh
Keyword(s):  
Discrete Time ◽  
Mimo Systems ◽  
Linear Time ◽  
Sufficient Conditions ◽  
Linear Time Invariant ◽  
Closed Loop Systems ◽  
Necessary And Sufficient ◽  
Time Invariant ◽  
Flexible Mechanical System

This paper presents some new results on synthesis and stability analysis of a class of repetitive controllers for discrete-time multi-input multi-output (MIMO) linear time-invariant (LTI) systems. In particular, the necessary and sufficient conditions for exponential stability of the resulting closed-loop systems are derived. A simulation case study featuring a flexible mechanical system is also presented.

An algebraic approach to strong stabilizability of linear nD MIMO systems

2002 ◽  
Vol 47 (9) ◽  
pp. 1510-1514 ◽  
Author(s):  
Zhiping Lin ◽  
Jiang Qian Ying ◽  
Li Xu
Keyword(s):  
Mimo Systems ◽  
Algebraic Approach ◽  
Strong Stabilizability

scholarly journals Event-triggered Control of Uncertain Nonlinear Discrete-time Systems with Extended State Observer

2021 ◽  
Author(s):  
Xianming Wang ◽  
Mouquan Shen ◽  
Ju H. Park
Keyword(s):  
Mimo Systems ◽  
Tracking Error ◽  
Sufficient Conditions ◽  
State Observer ◽  
Extended State Observer ◽  
Extended State ◽  
Tracking Errors ◽  
Model Free ◽  
Time Systems ◽  
Event Triggered

Abstract This paper is dedicated to extended state observer-based event-triggered model free iterative learning control (ET-MFILC) for nonlinear systems with disturbances. A modified MFILC scheme is proposed by using the estimated uncertainties for the disturbed system. With the help of the estimated errors, an iterative extended state observer (IESO) is constructed to estimate the unknown uncertainties. New triggering mechanism integrated true tracking errors, the estimated errors and the estimated uncertainties is designed for multiple inputs and multiple outputs (MIMO) systems. Sufficient conditions are proposed to make the resultant ET-MFILC tracking error systems be uniformly ultimately bounded. An illustrative example is presented to demonstrate the effectiveness of the proposed scheme.

Some Contributions to the Theory of Near-Critical Bisexual Branching Processes

2007 ◽  
Vol 44 (02) ◽  
pp. 492-505
Author(s):  
M. Molina ◽  
M. Mota ◽  
A. Ramos
Keyword(s):  
Branching Process ◽  
Branching Processes ◽  
Sufficient Conditions ◽  
Positive Probability ◽  
Limit Laws ◽  
Bisexual Branching Processes ◽  
Probabilistic Evolution

We investigate the probabilistic evolution of a near-critical bisexual branching process with mating depending on the number of couples in the population. We determine sufficient conditions which guarantee either the almost sure extinction of such a process or its survival with positive probability. We also establish some limiting results concerning the sequences of couples, females, and males, suitably normalized. In particular, gamma, normal, and degenerate distributions are proved to be limit laws. The results also hold for bisexual Bienaymé–Galton–Watson processes, and can be adapted to other classes of near-critical bisexual branching processes.

The extinction time of a general birth and death process with catastrophes

1986 ◽  
Vol 23 (04) ◽  
pp. 851-858 ◽  
Author(s):  
P. J. Brockwell
Keyword(s):  
Laplace Transform ◽  
Size Distribution ◽  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
Death Process ◽  
Extinction Time ◽  
Birth And Death Process ◽  
Different Types ◽  
The Laplace Transform ◽  
Necessary And Sufficient

The Laplace transform of the extinction time is determined for a general birth and death process with arbitrary catastrophe rate and catastrophe size distribution. It is assumed only that the birth rates satisfyλ0= 0,λj> 0 for eachj> 0, and. Necessary and sufficient conditions for certain extinction of the population are derived. The results are applied to the linear birth and death process (λj=jλ, µj=jμ) with catastrophes of several different types.

Normal approximations to discrete unimodal distributions

1986 ◽  
Vol 23 (04) ◽  
pp. 1013-1018
Author(s):  
B. G. Quinn ◽  
H. L. MacGillivray
Keyword(s):  
Stationary Distribution ◽  
Sufficient Conditions ◽  
Random Variables ◽  
Hypergeometric Distribution ◽  
Death Process ◽  
Normal Approximations ◽  
Discrete Random Variables ◽  
Birth Death

Sufficient conditions are presented for the limiting normality of sequences of discrete random variables possessing unimodal distributions. The conditions are applied to obtain normal approximations directly for the hypergeometric distribution and the stationary distribution of a special birth-death process.

Budgeting in Socio-economic Development Strategies (Raising a Problem)

2008 ◽  
pp. 134-151
Author(s):  
A. Shastitko ◽  
M. Ovchinnikov
Keyword(s):  
Economic Policy ◽  
Economic Development ◽  
Social Change ◽  
Eastern Europe ◽  
Statistical Data ◽  
Sufficient Conditions ◽  
Transitional Period ◽  
Socio Economic Development ◽  
Necessary And Sufficient ◽  
Economic Development Strategies

The article proposes an approach to the analysis of social change and contributes to the clarification of concepts of economic policy. It deals in particular with the notion of "change of system". The author considers positive and normative aspects of the analysis of capitalist and socialist systems. The necessary and sufficient conditions for the system to be changed are introduced, their fulfillment is discussed drawing upon the historical and statistical data. The article describes both economic and political peculiarities of the transitional period in different countries, especially in Eastern Europe.

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